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2011 10 Physics Power Point New
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CURRENTELECTRICITY
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Electrical Appliances in theHome
All electrical appliances _________ electrical _________ intoanother, more _________ form of energy.
Electrical energy (__________) is produced because it is_______ to __________, __________, __________, and
__________.
Appliance Energy Conversions
convert
energyuseful
electricity easyproduce transport control conver
t
Radiant Heater MainPurpose:
Electricalenergy
-> Heat Energy
Waste:Electrical
energy
-> Light Energy (glowing)-> Sound Energy
(humming)Fan Heater MainPurpose:
Electricalenergy
-> Heat Energy-> Kinetic Energy
Waste:Electricalenergy
-> Sound Energy(humming)
Light Bulb Main
Purpose:
Electrical
energy
-> light Energy
Waste:Electrical -> Heat Energy
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Efficiency of Appliances
All electrical appliances or ___________ have an
______________ Efficiency is the __________ (or ______________) of the
energy that is _________ the that device is used for the ____we _____________
Efficiency = Energy Used to do
To make this a percentage; multiply it by 100 Energy __________ = _____________ Energy Used to do
__________
Example: In a light bulb, 100J of energy is input and 70J of heat isroduced. What is the efficienc of the li ht bulb as a decimal and
device
s
efficiency
fraction percentageputinto
work want it to do
Main Job
Total EnergyIn
waste
d
Total Energy
In
Main Job
Energy for Main Job =100J 70J
= 30JTotal Ener In =100J
Efficiency = Main Job / Total In
= 30/100= 0.3 = 30%
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Efficiency of AppliancesQuestions
1. When heating water a kettle ran for 5 minutes using 50J of energy. Only 40J ofenergy was used to heat the water; the rest was wasted on heating the
surroundings and producing sound. How efficient is the kettle?____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
2. A space heater claims to be 80% efficient. In a test it was found that 350J ofenergy was needed to run the heater, 200J of energy was used to produce heat,80J went into driving the fan, and 70J of sound energy was produced. Is the heater80% efficient? Why?
____________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________
3. A computer is said to waste 15% of the electrical energy used on things likeproducing heat (and the cooling system to cool it) and sound. If a computer uses anaverage of 750J of energy a day, how much energy is wasted each day? Howenergy much is useful?
__________________________________________________________________
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Static and Current Electricity
There are two types of electricity: Static
Electricity:______________________________
CurrentElectricity:_____________________________
We will be dealing with Current Electricity
To get current to flow we need:
__________________________________________
_______________________________________
build up of electrical charge then suddenrelease
flow of electrical charge (electrons) along aconductor
A closed path (a complete circuit)A power supply to push the electrons (battery)
Conductors for the electrons to travel on (i.e. copperwires)A load - something for the electrical energy to be
transferred to (i.e. Light bulb, resistor, motor, etc.)
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Current (I) Current (I) is the ______________.
It is measured in __________________. 1 amp is _________ of electrons flowing past a given point in
1second
Amperes are measured with an _______________.
Typical current values: Small torch:____________
Car headlight:________
Electric kettle:________
flow of electrons
amperes (A)1 Coulomb
ammeter ACircuit diagramsymbol
0.2A = 200mA
4A
10A
This is 6.2 x 1018 electrons.Thats 62 followed by 17zeros!!!!
Direction electronsflow
Direction it isdrawn on adiagram (howscientists
used to thinkit went
PositiveTerminal (thelong one)
Negative Terminal(the short one)
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Current Homework 1. Read pages 40-42 in textbook2. Answer the Questions Below
1. What is electric current?____________________________________________________________________
______________________________________________________________________________________________________________________________________________________ _______
2. Explain the difference between real and conventional current.
____________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
3. What kind of current is generated from a battery? A solar cell? What do you get from powerpoint?
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
4. What device is used to measure current (name and symbol)?________________________
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Generating Electricity There are many ways to generate electricity but they all involve
________________ other types of energy. There are 3 ways:
1. Batteries use ______________ to produce ___ current.
What we call batteries are really _____. When we place 2 or more
________ together we get a battery.
2. Solar Cells use ______________ to produce ____ current.
More and more, solar cells are being used in__________________ electricity production. Like with batteries
thousands of solar cells can be ________________________ toproduce huge amounts of electricity.
3. Magnets use _______________ to produce ____ current.
Magnets are passed through a ________________. When this
happens, a current is _____________. This process is called
transforming
chemical energy DC
DC = directcurrent
cells
cells
light energy DC
large scale
combined together in series
kinetic energy AC
coil of wireinduced
Electro Magnetic Induction
S
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Power Stations All Power Stations use electromagnetic induction to produce
energy. They simple use different ways to _______________.
The device with a ________ magnet inside a coil is called a__________. A ___________ is attached to it which turns themagnet.
As we saw from the simulation we can increase the output fromelectromagnetic induction by: 1.________________________2._______________________
3._________________________ 4._____________________________
This is all power stations do!!!
Hydro-Electric Stations: (Youtube: Hydro-Electric Power How it Works)
Use _________ Energy from ________ water to turn turbine____________.
Coal Stations: (Youtube: How a coal power station works)
Burns coal which releases __________________. This is usedto __________ water to produce _______ which turns the
turbine.
turn the magnet
rotating generatorturbine
Increase the Strength ofMagnet
Rotate magnet faster
Increase # of turns in coil Increase diameter of coil
kinetic moving directly
chemical potentialheat & boil steam
Neutrons Uranium nucleusnuclear energy heat &
boil steam
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Potential Difference (Voltage)
We can think of voltage in two ways: 1. As the _________ given to get electrons _______
Sometimes referred to as _____ (_____________________)
Used to describe an ____________ (i.e The voltage of a typical cell is_____; we can place cells together in ______ (to form a __________)
to increase the voltage. 2 1.5V cells in series gives ______, 6 1.5Vcells in series give _____.
2. The amount of ________________________ the electrons have
How much energy is available to be _____________ (i.e. Into_______ in a speaker or ________ in a toaster)
Each ________ (or _____) in a circuit uses up some of the electricpotential of the electrons; this is why we use the term _______________________ (describes the difference in the electric potentialenergy between _____________ in a circuit or the ____________)
All electrons in a circuit will also return to the power supply with____ of electric potential energy. It is all ________ in the circuit!
push flowingEMF electro motive force
energy source 1.5Vseries battery
3V 9VElectric Potential Energy
transformed
soundheat
device
loadpotential difference
any 2 points voltage drop
0Vusedup
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Measuring Voltage Voltage is measured in __________________.
1 volt means each coulomb of charge(______________ electrons)
is given 1 joule of electrical energy. Voltage are measured with a ___________________.
A typical cell provides a V or EMF of ______.
Connecting two or more in ______ to form a _______ increases
voltage.
volts (V)
6.2 x 1018
voltmeter
1.5V
series battery
VCircuit diagramsymbol
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Voltage Homework 1. Read pages 47-50 in textbook2. Answer the Questions Below
1. What is electric potential? Use an analogy in your explanation____________________________________________________________________
___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______
2. Copy Learn Section (the bit shaded grey) on page 53 of text below. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
3. What device is used to measure voltage (name and symbol)?________________________
____________________________________________________________________
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Series and Parallel Circuits
Bulbs in Series
Only one path for electrons
Bulbs ______ the voltage_____ so each glow
_______.
If one bulb is ____________the other ________ becausethe _____________.
http://phet.colorado.edu/simulations/si
Bulbs in Parallel
Two paths for electrons
Both bulbs get ______
voltage so both glow________.
Current is _____ in each______
If one bulb is
+ -
>
>
>Branch
Two
iTiT
i1 i1i2
i2 i2
i2
iT
iT
V
full
brightly
V
12V
12V
12V
sharedbulb /branch
removed/blown
stays on
there is still a complete path
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Basic Circuit Rules Series Circuit
Current through___________ is_________________________.
Voltage _______ acrosseach resistor is
______________ to itsresistance.
Total voltage equals sum of
Parallel Circuit
Voltage drop across_________ is
________________________.
Current _______ each_______ is _____________
to its total resistance. current in
= Symbol for resistor
both resistorsthesame.
(theres only onepath!)Drop
proportional
100 200
V V
12V
4V 8V
100
200
both resistors
the
same.
(must go back with
0V)through branchproportional
Total the circuit
A
A
A
3A2A
1A
A
3A
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Short Circuits
In parallel circuits we can have _________ ___________ wewant.
However, if one of the branches consists only of a good__________ (no ______ or _______ of any kind) we will get a
______________.
Virtually _________ will flow through the branch with no______
This causes 2 things:
All of the other ____________________ go _____
An _________________ current in the __________branch
______ current = _____ heat = _______ or_______!!!
as many branches
conductor
loads devices short circuit
all current load
components / devces off
extremely large no - load
High High Sparks Fire
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Circuits Homework 1. Read pages 41-42 in textbook2. Answer Questions 1- 5 on pg 47-48
below________________________________________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______
____________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________
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Circuits Homework Contd____________________________________________________________________________________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________________________________________ _______
____________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
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Resistance Resistance can be thought of as ________ current.
Resistance is measured in _______________.
All materials (even __________) have some resistance.Materials with low resistance are called ________. Those withhigh resistance are _________.
Factors that affect Resistance are:
1) Length: _________________
_______________________
2) Cross-sectional Area:
_______________________
_______________________
3) Material: ________________
4) Temperature: _____________
________________________
slowing
ohms ()
conductors
conductors
insulators
the longer thewire;the greater the
resistance
As area resistanceLike a highway; more lanes;more cars through
different properties
resistance
as temperature
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Resistance Contd
Resistors: devices made to specifically provideresistance. They are used to
________________. In complicated circuits,such as those in __________, ______, and
___________ used to keep ________ and_________ at specific levels needed for othercomponents (parts) to work properly.
Resistors can have a large range of afew_______ to _________ of ______.
1 kilohm (____) = _______
1 megohm (____) = ___________
reducecurrent computers
TVs mobilephones
voltage
current
Ohms ()
millions Ohms ()
1k 1000
1M 1 000 000
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Circuits
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Ohms Law
In circuits; current, voltage, and resistance arerelated.
We can make a circuit to discover thisrelationship.
We can also draw them with symbols:
Power Supply (Cell):_______
Wires (Conductors):_____Resistors:____________
Voltmeter:________ Ammeter:_________
Circuit Diagram:
What does a battery look
like?
V A
A
Ammeter mustbe connected inseries
V
Voltmeter must be
connected in parallel
Oh L
http://images.google.com.au/imgres?imgurl=http://lateblt.tripod.com/resistor.gif&imgrefurl=http://lateblt.tripod.com/electron.htm&usg=___hCxSi1CdoqSrNKU9375XOR-z9s=&h=85&w=179&sz=1&hl=en&start=3&itbs=1&tbnid=_aNpgI800L_KqM:&tbnh=48&tbnw=101&prev=/images?q=resistor+symbol&hl=en&gbv=2&tbs=isch:1http://images.google.com.au/imgres?imgurl=http://lateblt.tripod.com/resistor.gif&imgrefurl=http://lateblt.tripod.com/electron.htm&usg=___hCxSi1CdoqSrNKU9375XOR-z9s=&h=85&w=179&sz=1&hl=en&start=3&itbs=1&tbnid=_aNpgI800L_KqM:&tbnh=48&tbnw=101&prev=/images?q=resistor+symbol&hl=en&gbv=2&tbs=isch:1 -
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Ohms Law Ohms Law: The ________ flowing through a circuit
(conductor) is __________ to the ________ _______between its ends.
V = _____
R = _____
I = _____
Ohms Law Problem: A circuit with a 12 resistor is connected to a 6Vpower supply. What is the current through it?
current
proportional potential difference
V
I R
IR
V/IV/R
Most commonform
Given: V = 6V
R = 12
I = ?
I = V/R
= 6/12
= 0.5A
Important:
Must use Proper Units:Voltage in VoltsCurrent in Amps
Resistance in OhmsIf not; you must convert first!
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Ohms Law Lab
Make a Circuit as shown and fill in the following charts:
Use Lab on page of booklet for method (we will use 56 and 330 resistorsso we can use bigger voltages then in the lab) Do it twice, once for each
PowerSupplySetting(Volts)
Voltmeter
Reading(V)
Ammeter
Reading(I)
V/I(ohm
s)
Resistance of
resistor(ohms)
2 V
4 V
6 V
8 V
10 V
12 V
PowerSupplySetting(Volts)
Voltmeter
Reading(V)
Ammeter
Reading(I)
V/I(ohm
s)
Resistance of
resistor(ohms)
2 V
4 V
6 V
8 V
10 V
12 V
A
V
Oh L L b C td
http://images.google.com.au/imgres?imgurl=http://lateblt.tripod.com/resistor.gif&imgrefurl=http://lateblt.tripod.com/electron.htm&usg=___hCxSi1CdoqSrNKU9375XOR-z9s=&h=85&w=179&sz=1&hl=en&start=3&itbs=1&tbnid=_aNpgI800L_KqM:&tbnh=48&tbnw=101&prev=/images?q=resistor+symbol&hl=en&gbv=2&tbs=isch:1 -
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Ohms Law Lab Contd Plot values from above graph and answer questions below:
1. Calculate the slope of the lines:______________________
2. What does the slope represent?_____________________
3. Explain the difference in slope of the lines.
_____________________________________________________
_____________________________________________________
Oh L H k
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________________________________________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________
Ohms Law Homework 1. Read pages 53-59 in textbook2. Answer Questions 1- 4 on pg 56 below3. Answer Questions 1- 6 on pg 59-60 below
Oh L H k C td
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Ohms Law Homework Contd____________________________________________________________________________________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________________________________________ _______
____________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Oh L H k C td
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Ohms Law Homework Contd____________________________________________________________________________________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________________________________________ _______
____________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
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Electrical Power
Power is__________________________________.
Its unit is __________. (_______=__________)
A general equation for poweris:_______________
Electric devices have __________.
Kettle:____________ Iron:__________
TV:_______ Power Drill:__________ Lamp:___________
For circuits: Power = ______ x ______ or
_______
the rate at which energy is transformedWatts (W) Power Energy/Time
P = E/t or E = Pt
power ratings2400W (2.4kW) 1100W (1.1kW) 80 W
400W 60W
Voltage curren
t
P = VI
P d P i F
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Power and Paying ForElectricity Why the electrical power equation works: The equation P=VI works because of how the_______, _________, _________, and _______are related.
Consider the battery on the right: General Description:
Each coulomb of charge______ _________ fromthe _________.
___ coulombs of chargeleave the battery
___________
So ___ joules of ________
energy is convertedener ever
ScientificDescription:
PD = ________
Current =_____
Battery
Volt
ampere coulomb joule
5km
Distance =5km + 5km= 10km
Displacement = 0km(finished where hestarted)
start
>
> finish8km
6km Distance =8km+ 6km= 14km
Displacement =(82 + 62)= (64 + 36)
= 10kmN
S
W E NE
direction
Speed and Velocity
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Speed and Velocity We often use speed and velocity interchangeably; however
they are technically different.
Speed is the ___________ in __________ over ________. Speed = ________ ________ (_________). It is a __________.
Velocity is the __________ in ____________ over ________.
Velocity = ______________ ________. It is a
_______________. Example: Calculate the average speed and Average velocity of trip if it takes me 15 minutes?
Most common units are _______ and _______.
We need to be able to convert between these units, heres how: (Example 3;page 11)
change distance timedistance time S = d/t scalar
change displacement
time
displaceme
nt
time vector V=disp/t
Given:d = 14kmt = 15min
= 0.25hr
converttohours!
S = d/t
= 14/0.25
= 56km/h
disp = 10kmNEt = 0.25hr
v = disp/t
= 10/0.25
= 40km/hNE
km/h m/s
Convert 60km/h tom/sGetunitsright!!!
Distance = 60km= 60 000m
Time = 1hr= 60min = 3600sec
S = d/t= 60 000m/3600sec
= 16.67m/s
So, 60km/h = 16.67m/s
Shortcut:
m/s -> km/h x3.6
Km/h -> m/s 3.6
Average Speed
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Average Speed Think about your trip to school. You did not go at a ___________
speed. You stopped and started, sped up and slowed down. If
you looked at the speedometer of your car (or bus) it would tell youyour ______________ speed or how fast you are going at thatexact __________. So if we know the distance travelled and timetaken, we can only calculate the ______________ speed.
Examples: 1. What is the average speed of a train ride that goes fromShorncliffe to the City
(25km) in 45 minutes. Give your answer in km/h.
2. A man completes a 70km bike race with an average speed of 30km/h.How long did it take him?
constant
instantaneousmoment
average
S
d
t
Given:d = 25kmt = 45min
= 0.75hr
S = d/t= 25/0.75
= 33.33km/h
*** if we left as min; our unitfor speed would be km/min
Given:
d = 70kms = 30km/ht = ?
t = d/s
= 70/30= 2.33hr
*** 0.33hr = 0.33(60)= 20min
= 2hr 20min
Acceleration
v = final speed
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Acceleration Acceleration is the __________ in speed over ______.
___________ = _________________ _____. (___ = ________)
Deceleration occurs when speed _________ over time. It has thesame _______ as acceleration but has a _______________.
Its main unit is ________ per _______ ________ (_______)
Acceleration due to gravity is _________. This means that every
second its speed has increased _______ from the last. So, 1second after an object is dropped its speed is _________
2 seconds after its going ____________; 5 seconds after________
Examples:
change time
Acceleration final initial
speed
time a (v-u)/t
u = initial speed
decreasesunit negative sign
metres second squared m/s2
9.8 m/s2
9.8 m/s9.8 m/s
2(9.8) = 19.6m/s
5(9.8) = 49 m/s
A car increases it speed from 95km/h to 110km/h to
pass. It does this in 5sec. What is its acceleration inkm/h/s? In m/s2
u = 95km/hv = 110km/ht = 5s
a = (v-u)/t
= (110-95)/5
= 15/5= 3 km/h/s
3km/h/s = 3 3.6 = 0.83m/s2
A runner finishes at race travelling at 12m/s. He comes
to a stop after 3 sec. Whats his acceleration?
u = 12m/sv = 0m/st = 3s
a = (v-u)/t
= (0-12)/3
= -12/3= -4 m/s2
Cartoon Physics!
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Cartoon Physics!
Cartoon Physics!
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Cartoon Physics!
Cartoon Physics!
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Cartoon Physics!
Speed & Acceleration
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Speed & AccelerationHomework
Read pages 7-11 of text and the cartoons in booklet
Complete all questions from Exercise 01 on pg.11 of text.___________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
___________________________________________________________________
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________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
________________________________________________________________
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Feeling Forces
Forces and Acceleration are ____________________; weactually feel them the same way.
This is because a force is need to________________________. (RECALL: Acceleration is a
change in motion) OR:No force, no change in ________; no acceleration!
Also, the ________ the force; the ________ theacceleration.
So, force and acceleration are said to be________________.
If I push two trolleys, one empty and one filled withgroceries, with the same force; which one goes further?
_______________________.
very closely related
cause a change in motion
motionbigger bigger
proportional
Spring cartdemo!!!the empty trolley!
smaller
halved
Or, it takes a ________ force to accelerate a _______ objecth h f bj
greater heavier
li h
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the at the same rate of a ________ object.
So, with a constant force; acceleration and mass are________ proportional
All this can be summarised with the following formula:
a = F/m (but it is more commonly given as _______)
This is Newtons Second Law of Motion!
__________________ experience a force dueto _____________ but dont continually ________because there is normally a ________
force from the ground or a desk If the supporting force is removed; all objects fall with an
__________________ of ____________ or _____________
So, the force due to gravity pulling a 100kg man to the Earth
is F = ma = (______)(___) = _____ (Force is measured in
lighter
inversely
F = ma
F = force (N)m = mass (kg)a = accel.(m/s2)
F
m aAll objects on Earth
gravity fall
supporting
acceleration
9.8m/s/s 9.8m/s2
100 9.8 980N Newtons (N)
We can also experience what is called a force.perceived
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We can also experience what is called a ____________ force.
This is because of _____________. This is the idea that all objectswill stay in their ______________________ unless acted up by anoutside force (Newtons ________ law of motion).
Examples: (fig 1.5a-b & train)
Just like how we are free to move around in a car or train; our_____________ ___________ can move around inside of us; This is whatgives you that funny feeling in your stomach when you_______________!!!
p
inertiacurrent state ofmotionfirst
internalorgans
fall suddenly
Cartoon Physics!
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Cartoon Physics!
Cartoon Physics!
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Cartoon Physics!
Feeling Forces Homework
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Read pages 12 & 13 and cartoons above
Answer questions 1-6 on page 16 of text
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g
Rollercoaster Forces
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Rollercoaster Forces Rollercoaster designers use the concepts of ___________
along with changes in the direction of the track to_______________ different _______ on the riders.
These forces combine with the force of ___________(_________ always acts on objects to pull them
_______________________)
Forces in a Loop:
inertia
create
forces Recall: A change in direction requires aforce!
gravity gravity
toward the centre of theEarth
Gravity always actingdown
NOTICE:
Gravity always samemagnitude (since mass ofcart does not change)
Force of cart always acting
toward the centre of thetrack
Combining Forces
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g Forces are _______; so they have a ________ (size) and a
_______.
We use _____________ to represent forces (and all_________)
The _______ of the _______ is proportional to the ______ ofthe force
The ______ points in the _______________ of the force
To add vectors we _______ the two (or more) forces___________ to form a _______________.
This triangle is a __________ triangle so we can use_____________ theorem to calculate the ___________ of thecombined _____ force.
In senior physics you will also learn to use_________________ to calculate the net forces exact
.
vectors magnitude direction
arrows vectors
length arrow sizearrow direction
Big force to the right small force to theleft
align Tip-to-tail
Vector triangle
Right-angle Pythagorasmagnitude net
trigonometry
direction
ObjectA 3N
B 2N
A + B tip-to-tail
Net force = 5N
Object 5N
ObjectA 3NB 2N
A + B
Net force = 1N
Object1N
Situation 1: There are 2 forces acting on an object. The first is 25N acting South andthe other is 35N acting West. What is the magnitude of the resultant force?
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g g
Situation 2: There are 3 forces acting on an object. The first is 125N acting North, thesecond is 70N acting East, and the other is 35N acting West. What is themagnitude of the resultant force?
Mathematically Graphically
Mathematically Graphically
N
S
W E
Object
25N
35N
25N
35N
Net force =
= (1850)
= 43N SW
(352 + 252)
43N
Scale: 1cm = 10N of Force
2.5cm= 25N
3.5cm= 35N
4.3cm
Net force
= 4.3(10)= 43 N SW
Object70N
35N
35N
125N
= (15625+1225)= 130N NE
(1252 + 352)
125N
Net force =
Scale: 1cm = 35N of
*125/35
=3.6cm
3.6cm= 125N
2 cm =70N
1 cm =35N
3.7cm
Net force
= 3.73(35)
= 129.5 N NE
Combining Forces:
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Read pages 13-15
Answer questions 7-10 on page 16 of text
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Rollercoasters as Energy
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gyConverters #1
Rollercoasters are only powered ________________ of the
ride; to get them to _______________________________. Its the speed from the __________that keeps it going
after that!
Heres why: When an object is ______; it gains
____________________________
PE = _____ where: __ = ______ (in ___)
__ = ___________ due to ________(_______)
__ = __________ of the object (in __)
When an object is dropped it gains ________________ (___)
KE = (_____)/___ where: ___ = ______ (in ____)
at the
beginningthe top of the first hill/drop
first drop
lifted Gravitational PotentialEnergy
mgh mmass
kg
g acceleration gravity 9.8m/s2
h height m
Kinetic Energy KEmv2 2 m
masskg
v velocity speed m/s
Joules J
***Actually ALL forms of energy measured in
Ki ti P t ti l E
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Kinetic vs. Potential Energy
At the point of maximum potential energy, the car has minimumkinetic energy.
Examples:
C
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What did you notice about the kinetic energy of the twoobjects?
A rollercoaster car andpassengers is pulled upthe first hill of the track. Itsmass is 350kg and the hill
is 120m tall. Calculate thePE.
Calculate the KineticEnergy of the samecart/passenger combowhen it has a speed of
30m/s.
A cannon ball of mass1.25kg is fired. It has amuzzle velocity of 500m/s.Calculate its KE.
*Units allgood!
m =350kg
g = 9.8m/s2
h = 120m
PE = mgh
= 350(9.8)(120)= 411600J
m =350kgv = 30m/s
*Units allgood!
KE = mv2
2
= 350(30)(30)2
= 157500J
m =1.25kgv = 500m/s
*Units allgood!
KE = mv2
2
= 1.25(500)(500)2
= 156250J
*VerySimilar
*velocity/speed is squared so a small object travelling very fast canhave as much KE as a big object travelling slower
How do we get Joules for PE & KE when we multiply totally different thingstogether? Lets consider units.
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g
There are only a few _______ units (these are __________, _________,and ___________); the rest are combinations of these _____ units.
Lets Prove that PE and KE have the same unit:
PropertyMeasured SI Unit Notes on the Unit
Base kilograms metresseconds Base
Height/distance/length Metre (m) SI Base Unit
Mass Kilograms (kg) SI Base Unit
Time Seconds (s) SI Base Unit
Speed/velocity Metres/second (m/s) A combination of base units
Acceleration Metres/second2(m/s2)
A combination of base units
Force Newtons (N)Given a special name but still a combinationof base units (1N = 1kgm/s2)
Energy Joule (J)
Given a special name but still a combination
of base units (1J = 1kgm2/s2)
PE = mgh
= kg (m/s2)(m)
= kgmms2
= kgm2
s2
KE = mv2
2No unit so we can leave it out
= kg (m/s)(m/s)
=kgmm
ss = kgm2
s2
Rollercoasters as Energy Converters #1 Homework:R d 19 21
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Read pages 19-21
Answer questions 1-3 on page 25 - 26 of text
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o ercoas ers as nergyC t #2
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gyConverters #2
As an object falls; its height obviously _____________. So,its PE also ______________.
But as it falls; its speed ____________. So, its KE_____________.
When an object falls; its PE is ________________to KE. Ifwe add the ___ and ___ of a falling object at any point of its
fall (just after release, half way down, just before contactwith ground); we will get ______________________.
We can use this knowledge to _______ the carts velocity from theearlier example at the bottom of the hill.
We know that at the bottom of the hill PE = ____ and at the top ofthe hill KE = ____ (just before it begins to fall)
So, this means _________ = _________ & __________ =__________
Example: Calculate the velocity of the cart at the bottom of the hill.
decreases
decreases
increases increases
constantlyconvertedPE KE
the same number
predict
0J
0JPEBOT KETOP PETOP KEBOT
KEBOT = PETOP =411600Jm =
350kgv = ?
KE = mv2
2
2KE =2
2(411600) = 350v2
v2 =823200/350
v=(2352) = 48.5m/s
But this this isnt exactly what happens inReal life
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But this this isn t exactly what happens in ______________.
If you were to touch the wheels of the cart what did you think youwould notice? _______________________
This is because of __________. _________ is a force that____________ motion and is present whenever two_____________________________. Friction causes _______and _______ is a form of __________. So some of the PE is
_____________ to heat. (Not all converts to ____)
You can also _________ the rollercoasters wheels rolling over thetrack. Sound is a form of ________ so some of the PE is alsoconverted to sound.
This is represented
in the graph:
Real life
They are
HOT!!! friction Friction opposesSurfaces move over eachotherheat heat energy
converted
KE
hearenergy
Cartoon Physics!
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y
Cartoon Physics!
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y
Rollercoasters as Energy Converters #2 Homework:
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Read pages 21-25 and cartoon physics
Answer questions 4-7 on page 26 of your textbook.
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Topic Review C l t ll ti (1 21)
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Topic Review: Complete all questions (1-21) on pages31-33
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Rollercoaster Investigation
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g Sketch of Track (Label the key dimensions):
Mass of car:
________________
Name of Section Section
Length
Key Heights
Rollercoaster Analysis I: Finding Speed & Velocity using Distance, Displacement and Time.
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Finding Speed & Velocity using Distance, Displacement and Time. Use the video to get times; distances and displacements by taking measurements directly from the
rollercoaster.Entire Rollercoaster
Average Speed Average Displacement
Track Section: First Drop
Average Speed Average Displacement Instantaneous Speed at end of drop
Track Section: Loop
Average Speed Average Instantaneous Speed at top of loop Instantaneous Speed at end of loop
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Average Speed AverageDisplacement
Instantaneous Speed at top of loop Instantaneous Speed at end of loop
Track Section: Second Hill
Average Speed Average Displacement Inst. Speed at top of 2nd Hill Inst. Speed at end of 2nd Hill
Track Section: Flat
Average Speed Average Displacement Instantaneous Speed at end of Flat
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Average Speed Average Displacement Instantaneous Speed at end of Flat
Rollercoaster Analysis II: Finding Speed & Velocity using Energy.
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Finding Speed & Velocity using Energy.
Entire Rollercoaster
PE & KE at Start of Track PE & KE at End of Track Energy Lost Energy Lost per cm of Track
Track Section: First Drop
PE at Start and End of Sectoin KE at Start and End of Section (includeLosses)
Speed at End of Section (Average orInst?)
Track Section: Loop
PE at Start, Top, End of Loop KE at Start, Top, End of Loop Speed at Top and End of Loop
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Track Section: 2nd Hill
PE at Start, Top, End of 2nd Hill KE at Start, Top, End of 2nd Hill Speed at Top and End of 2nd Hill
Track Section: Flat
PE at start and end of flat KE at the start and end of flat Speed at end of Flat
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p
Discussion Questions: 1. Complete the table:
Point on Track Speed (Method I) Speed (Method
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2. Discuss any differences. Which method do you think was more accurate, why?.____________________________________________________________________________________________________________________________________
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__________________________________________________________________
Point on Track Speed (Method I) Speed (MethodII)
End of First Drop
Top of Loop
End of Loop
Top of 2nd Hill
End of 2
nd
HillEnd of Flat
3) What are the advantages and disadvantages of each method?___________________________________________________________________
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4) Consider the Energy v Length of Track graph from below. Using all theinformation gathered using Method II (PE and KE) complete one of these for ourcoaster.
Energy Changes Over a Rollercoaster Track
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