4 potential & kinetic energy

27
Different Forms of Energy Chapter 3

description

 

Transcript of 4 potential & kinetic energy

Page 1: 4  potential & kinetic energy

Different Forms of EnergyChapter 3

Kinds of Energy

bull Gravitational Potential Energy due to positionbull Kinetic Energy due to motionbull Heat Energy due to movement of heat energy

from regions of high energy to areas of low energy

bull Radiant Energy due to lightbull Chemical Potential Energy due to bondsbull Elastic Energy stressed objects that return to

their original shapebull Electrical Energy due to movement of electronsbull Nuclear Energy due to atomic fissionfusion

Kinetic Energy

bull Kinetic Energy is the energy an object has due to its motion

bull The KE depends on the mass and the speed

bull Ek or KE= frac12 mv2

bull E is Energy in Joules J

bull m is mass in kg v is velocity in ms

Example

bull What is the KE of a 6 kg curling stone moving at 4 ms

bull KE = frac12 mv2

bull = frac12 x 6kg x (4 ms)2

bull = frac12 x 6 x 16bull = 48 J

Activity

What is the Kinetic Energy of a 5 kg ball travelling horizontally at a speed of 10 ms

Exam QuestionA go lf ball is d ropped ou t o f a w indow w h ich is 10 m above the ground T he ball has a m ass o f 50 g D isregard the effects o f a ir resistan ce

10 m

W hat is the k inetic energy o f the b all ju st befo re it h its the ground

A )

10 J

B )

7 5 J

C )

5 0 J

D )

2 5 J

Potential Energybull If we lift up an object against gravity it now

has the ability to move it has the potential to fall down and use up the energy we put into it

bull Ep PE = mgh unit is Joules J

bull m is the mass in kg

bull g is the acceleration due to gravity 981ms2

bull h is the height above the Earthrsquos surface m

Activity

bull What is the PE of a 10 kg weight 8 m above the ground

bull PE = mgh

bull = 10 kg x 981ms2 x 8m

bull = 7848 J

ActivityA weather balloon with a mass of 40 kg including the weather instruments rises vertically in the air It passes an altitude of 200 metres at a velocity of 20 ms

20 ms

200 m

At this point what is its potential energy with respect to the ground A)

80 103 J

B)

80 102 J

C)

80 101 J

D)

80 J

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 2: 4  potential & kinetic energy

Kinds of Energy

bull Gravitational Potential Energy due to positionbull Kinetic Energy due to motionbull Heat Energy due to movement of heat energy

from regions of high energy to areas of low energy

bull Radiant Energy due to lightbull Chemical Potential Energy due to bondsbull Elastic Energy stressed objects that return to

their original shapebull Electrical Energy due to movement of electronsbull Nuclear Energy due to atomic fissionfusion

Kinetic Energy

bull Kinetic Energy is the energy an object has due to its motion

bull The KE depends on the mass and the speed

bull Ek or KE= frac12 mv2

bull E is Energy in Joules J

bull m is mass in kg v is velocity in ms

Example

bull What is the KE of a 6 kg curling stone moving at 4 ms

bull KE = frac12 mv2

bull = frac12 x 6kg x (4 ms)2

bull = frac12 x 6 x 16bull = 48 J

Activity

What is the Kinetic Energy of a 5 kg ball travelling horizontally at a speed of 10 ms

Exam QuestionA go lf ball is d ropped ou t o f a w indow w h ich is 10 m above the ground T he ball has a m ass o f 50 g D isregard the effects o f a ir resistan ce

10 m

W hat is the k inetic energy o f the b all ju st befo re it h its the ground

A )

10 J

B )

7 5 J

C )

5 0 J

D )

2 5 J

Potential Energybull If we lift up an object against gravity it now

has the ability to move it has the potential to fall down and use up the energy we put into it

bull Ep PE = mgh unit is Joules J

bull m is the mass in kg

bull g is the acceleration due to gravity 981ms2

bull h is the height above the Earthrsquos surface m

Activity

bull What is the PE of a 10 kg weight 8 m above the ground

bull PE = mgh

bull = 10 kg x 981ms2 x 8m

bull = 7848 J

ActivityA weather balloon with a mass of 40 kg including the weather instruments rises vertically in the air It passes an altitude of 200 metres at a velocity of 20 ms

20 ms

200 m

At this point what is its potential energy with respect to the ground A)

80 103 J

B)

80 102 J

C)

80 101 J

D)

80 J

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 3: 4  potential & kinetic energy

Kinetic Energy

bull Kinetic Energy is the energy an object has due to its motion

bull The KE depends on the mass and the speed

bull Ek or KE= frac12 mv2

bull E is Energy in Joules J

bull m is mass in kg v is velocity in ms

Example

bull What is the KE of a 6 kg curling stone moving at 4 ms

bull KE = frac12 mv2

bull = frac12 x 6kg x (4 ms)2

bull = frac12 x 6 x 16bull = 48 J

Activity

What is the Kinetic Energy of a 5 kg ball travelling horizontally at a speed of 10 ms

Exam QuestionA go lf ball is d ropped ou t o f a w indow w h ich is 10 m above the ground T he ball has a m ass o f 50 g D isregard the effects o f a ir resistan ce

10 m

W hat is the k inetic energy o f the b all ju st befo re it h its the ground

A )

10 J

B )

7 5 J

C )

5 0 J

D )

2 5 J

Potential Energybull If we lift up an object against gravity it now

has the ability to move it has the potential to fall down and use up the energy we put into it

bull Ep PE = mgh unit is Joules J

bull m is the mass in kg

bull g is the acceleration due to gravity 981ms2

bull h is the height above the Earthrsquos surface m

Activity

bull What is the PE of a 10 kg weight 8 m above the ground

bull PE = mgh

bull = 10 kg x 981ms2 x 8m

bull = 7848 J

ActivityA weather balloon with a mass of 40 kg including the weather instruments rises vertically in the air It passes an altitude of 200 metres at a velocity of 20 ms

20 ms

200 m

At this point what is its potential energy with respect to the ground A)

80 103 J

B)

80 102 J

C)

80 101 J

D)

80 J

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 4: 4  potential & kinetic energy

Example

bull What is the KE of a 6 kg curling stone moving at 4 ms

bull KE = frac12 mv2

bull = frac12 x 6kg x (4 ms)2

bull = frac12 x 6 x 16bull = 48 J

Activity

What is the Kinetic Energy of a 5 kg ball travelling horizontally at a speed of 10 ms

Exam QuestionA go lf ball is d ropped ou t o f a w indow w h ich is 10 m above the ground T he ball has a m ass o f 50 g D isregard the effects o f a ir resistan ce

10 m

W hat is the k inetic energy o f the b all ju st befo re it h its the ground

A )

10 J

B )

7 5 J

C )

5 0 J

D )

2 5 J

Potential Energybull If we lift up an object against gravity it now

has the ability to move it has the potential to fall down and use up the energy we put into it

bull Ep PE = mgh unit is Joules J

bull m is the mass in kg

bull g is the acceleration due to gravity 981ms2

bull h is the height above the Earthrsquos surface m

Activity

bull What is the PE of a 10 kg weight 8 m above the ground

bull PE = mgh

bull = 10 kg x 981ms2 x 8m

bull = 7848 J

ActivityA weather balloon with a mass of 40 kg including the weather instruments rises vertically in the air It passes an altitude of 200 metres at a velocity of 20 ms

20 ms

200 m

At this point what is its potential energy with respect to the ground A)

80 103 J

B)

80 102 J

C)

80 101 J

D)

80 J

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 5: 4  potential & kinetic energy

Activity

What is the Kinetic Energy of a 5 kg ball travelling horizontally at a speed of 10 ms

Exam QuestionA go lf ball is d ropped ou t o f a w indow w h ich is 10 m above the ground T he ball has a m ass o f 50 g D isregard the effects o f a ir resistan ce

10 m

W hat is the k inetic energy o f the b all ju st befo re it h its the ground

A )

10 J

B )

7 5 J

C )

5 0 J

D )

2 5 J

Potential Energybull If we lift up an object against gravity it now

has the ability to move it has the potential to fall down and use up the energy we put into it

bull Ep PE = mgh unit is Joules J

bull m is the mass in kg

bull g is the acceleration due to gravity 981ms2

bull h is the height above the Earthrsquos surface m

Activity

bull What is the PE of a 10 kg weight 8 m above the ground

bull PE = mgh

bull = 10 kg x 981ms2 x 8m

bull = 7848 J

ActivityA weather balloon with a mass of 40 kg including the weather instruments rises vertically in the air It passes an altitude of 200 metres at a velocity of 20 ms

20 ms

200 m

At this point what is its potential energy with respect to the ground A)

80 103 J

B)

80 102 J

C)

80 101 J

D)

80 J

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 6: 4  potential & kinetic energy

Exam QuestionA go lf ball is d ropped ou t o f a w indow w h ich is 10 m above the ground T he ball has a m ass o f 50 g D isregard the effects o f a ir resistan ce

10 m

W hat is the k inetic energy o f the b all ju st befo re it h its the ground

A )

10 J

B )

7 5 J

C )

5 0 J

D )

2 5 J

Potential Energybull If we lift up an object against gravity it now

has the ability to move it has the potential to fall down and use up the energy we put into it

bull Ep PE = mgh unit is Joules J

bull m is the mass in kg

bull g is the acceleration due to gravity 981ms2

bull h is the height above the Earthrsquos surface m

Activity

bull What is the PE of a 10 kg weight 8 m above the ground

bull PE = mgh

bull = 10 kg x 981ms2 x 8m

bull = 7848 J

ActivityA weather balloon with a mass of 40 kg including the weather instruments rises vertically in the air It passes an altitude of 200 metres at a velocity of 20 ms

20 ms

200 m

At this point what is its potential energy with respect to the ground A)

80 103 J

B)

80 102 J

C)

80 101 J

D)

80 J

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 7: 4  potential & kinetic energy

Potential Energybull If we lift up an object against gravity it now

has the ability to move it has the potential to fall down and use up the energy we put into it

bull Ep PE = mgh unit is Joules J

bull m is the mass in kg

bull g is the acceleration due to gravity 981ms2

bull h is the height above the Earthrsquos surface m

Activity

bull What is the PE of a 10 kg weight 8 m above the ground

bull PE = mgh

bull = 10 kg x 981ms2 x 8m

bull = 7848 J

ActivityA weather balloon with a mass of 40 kg including the weather instruments rises vertically in the air It passes an altitude of 200 metres at a velocity of 20 ms

20 ms

200 m

At this point what is its potential energy with respect to the ground A)

80 103 J

B)

80 102 J

C)

80 101 J

D)

80 J

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 8: 4  potential & kinetic energy

Activity

bull What is the PE of a 10 kg weight 8 m above the ground

bull PE = mgh

bull = 10 kg x 981ms2 x 8m

bull = 7848 J

ActivityA weather balloon with a mass of 40 kg including the weather instruments rises vertically in the air It passes an altitude of 200 metres at a velocity of 20 ms

20 ms

200 m

At this point what is its potential energy with respect to the ground A)

80 103 J

B)

80 102 J

C)

80 101 J

D)

80 J

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 9: 4  potential & kinetic energy

ActivityA weather balloon with a mass of 40 kg including the weather instruments rises vertically in the air It passes an altitude of 200 metres at a velocity of 20 ms

20 ms

200 m

At this point what is its potential energy with respect to the ground A)

80 103 J

B)

80 102 J

C)

80 101 J

D)

80 J

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 10: 4  potential & kinetic energy

Total Mechanical Energy

bull The energy of a system transfers between Potential Energy and Kinetic Energy

bull Total Energy = PE + KEbull The PE of an object getstransferred to KE as itspeeds up bull As the PE decreases theKE increases

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 11: 4  potential & kinetic energy

Exam QuestionA small airplane with a mass of 1000 kg is flying at 60 ms at an altitude of 250 m

250 m

60 ms

What is the total mechanical energy of this airplane with respect to the ground

A)

18 106 J

B)

25 106 J

C)

43 106 J

D)

61 106 J

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 12: 4  potential & kinetic energy

Exam QuestionA s to n e w i th a m a s s o f 1 0 0 g i s th r o w n h o r iz o n ta l l y f r o m th e to p o f a c l i f f o v e r lo o k in g th e o c e a n w i th a v e lo c i t y o f 2 0 m s D is r e g a r d th e e f f e c t s o f a i r r e s i s t a n c e

1 5 m

2 0 m s

W h a t i s th e k in e t i c e n e r g y o f th e s to n e ju s t b e f o r e i t h i t s th e w a te r

A )

1 5 J

B )

2 0 J

C )

3 0 J

D )

3 5 J

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 13: 4  potential & kinetic energy

Total Mechanical Energybull What is the speed of a 500g rock that

drops from a height of 784 m just before it hits the ground

bull ET = KE + PE at first v = 0 ms

bull = frac12 mv2 + mgh since v = 0 KE = 0

bull = 05kgx981ms2x784m ET = PE only

bull = 3846 J

bull As the rock approaches the ground all its PE is transferred to KE so PE = 0 Sohellip

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 14: 4  potential & kinetic energy

Total Energy Part Deux

bull ET = PE + KE

bull 3846 J = KE

bull 3846 = frac12 mv2

bull 3846 = 12x 05kg x v2

bull 15384 J = v2

bull v = 392 ms

bull So just before it hits the ground the rock has a speed of 392 ms

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 15: 4  potential & kinetic energy

Exam Question

A 100 g ball is thrown vertically upward from the ground with a velocity of 20 ms Disregard the effects of air resistance What is the kinetic energy of this ball after it has risen 50 metres

A) 20 J

B)

15 J

C)

10 J

D)

50 J

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 16: 4  potential & kinetic energy

Measuring Work

bull Work is defined as the energy that comes from applying a force in the same direction over a certain distance

bull W = F Δd = mad (horizontal)

bull = magd (against gravity)

bull Work is in Joules J

bull Force is in Newtons N

bull Distance is in metres m

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 17: 4  potential & kinetic energy

Activity

bull Eg How much work is done by a boy pushing a car with a force of 800 N over a distance of 200m

bull W = F d

bull = 800 N x 200 m

bull = 160 000 J = 160 kJ

bull

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 18: 4  potential & kinetic energy

Exam QuestionA 200 g brick falls from a wall 40 metres above the ground It hits the ground with a velocity of 85 ms

40 m

How much work did gravity do on the brick

A)

80 J

B)

72 J

C)

34 J

D)

17 J

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 19: 4  potential & kinetic energy

Effective Force

bull The Effective Force is the force component that alters the motion of an object

bull It is the component that is parallel to the movement of the object

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 20: 4  potential & kinetic energy

Components

bull The horizontal component of a vector A that is at an angle of θ from the horizontal is A cosθ

bull The vertical component of a vector A that is at an angle of θ from the horizontal

is A sinθ

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 21: 4  potential & kinetic energy

Activity

bull If a boy pulls a cart at an angle of 30 to the horizontal with a force of 100 N over a distance of 75 m how much work has he done

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 22: 4  potential & kinetic energy

Exam QuestionA sled has a mass of 10 kg A child pulls the sled a distance of 20 metres with a force of 100 N at an angle of 35deg with respect to the horizontal During this motion a force of friction of 40 N acts in the opposite direction of the motion

35

100 N

How much work is done on the sled by the child over the distance of 20 metres

A)

16 102 J

B)

11 102 J

C)

84 101 J

D)

35 101 J

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 23: 4  potential & kinetic energy

Efficiency

bull Efficiency = Work output x 100

bull Work input

bull The maximum efficiency is 100

bull It is a measure of what energy is lost to friction vibration and other factors

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 24: 4  potential & kinetic energy

Activity

bull Page 100 Q 10-14

bull Page 101 Q 25-29

bull Test

bull Review FOR FINAL EXAM

bull Review Sheet HW for next class

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 25: 4  potential & kinetic energy

Summary

bull The Law of Conservation of Energy states that in any transfer or transformation of energy the total amount of energy remains the same

bull The form of the energy may be changed eg noise heat vibration friction

bull In situations where friction and air resistance are small enough to be ignored and where no other energy is added to the system the total mechanical energy is conserved

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 26: 4  potential & kinetic energy

Summary

bull Energy is the ability to do workbull Work is the transfer of energy (W=ΔE)bull Friction often does negative work on an

object because it removes energy from itbull Gravitational Potential Energy is the

energy of an object due to its height above the Earthrsquos surface PE = mgh

bull Kinetic Energy is the energy of a moving object KE = frac12 mv2

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27
Page 27: 4  potential & kinetic energy

Summary

bull E total = KE + PE (before) = KE + PE (after)

bull Heat is the measure of the amount of thermal energy that flows from one body to another because of a difference in temperature

bull Work done on an object can cause an increase in the temperature of an object

bull Effective work = Fd if the object moves in the direction of the force

  • Different Forms of Energy
  • Kinds of Energy
  • Kinetic Energy
  • Example
  • Activity
  • Exam Question
  • Potential Energy
  • Slide 8
  • Slide 9
  • Total Mechanical Energy
  • Slide 11
  • Slide 12
  • Total Mechanical Energy
  • Total Energy Part Deux
  • Slide 15
  • Measuring Work
  • Slide 17
  • Slide 18
  • Effective Force
  • Components
  • Slide 21
  • Slide 22
  • Efficiency
  • Slide 24
  • Summary
  • Slide 26
  • Slide 27