Hooke's Law Experiment3
6
A Hooke's Law and Simple Harmonic Motion Purpose The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. We will determine the spring constant, , for an indiv idual spring using bot h Hooke's Law and t he properties of an oscillating spr ing system. It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. Background If an applied force varies linearly with position, the force can be defined as where is called the force constant. Once such physical system where this force exists is with a common helical spring acting on a body. If the spring is stretched or compressed a small distance from its equilibrium position, the spring will exert a force on the body given by Hooke's Law, namely (1) where is known as the spring force. Here the cons tant of proportionality, , is the k nown as the spring constant, and is the displacement of the body f rom its equilibrium position (at = 0 ). The s pring constant is an indication of t he spring's stiffness. A l arge v alue f or indicates that the spring is stiff . A low value for means the spring is soft . Generally speaking, springs with large values can balance larger forces than springs with low values. The negative sign in E quation 1 indicates that the direction of is always opposite the direction of the displacement. This implies that the spring force is a restoring force. In other words, the spring force always acts to restore, or return, the body to the equilibrium position regardless of the direction of the displacement, as shown in Figures 1a - 1c. Figure 1a.When t he dis placem ent is t o the r ight ( > 0) th e spring fo rce is directed to the left ( < 0) . Figure 1b.When t he dis place ment is to the lef t ( < 0) t he spr ing force is directed to t he r ight ( > 0) . Figure 1c. In both cases shown in Figures 1a and 1b, the effect of the spring force is to return the system to the equilibrium position. At this position, = 0 and the spring is unstretched, signifying = 0. When a ma ss, , is sus pended from a spring and the system is allowed t o reach equilibri um, as s hown in Figure 2, Newton's Second Law tells us that the magnitude of the spring force equals the weight of the body, . Therefore, if we know the mass of a body at equilibrium, we can determine the spring force acting on the body.
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Transcript of Hooke's Law Experiment3
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 16
A
Hookes Law and Simple Harmonic Motion
Purpose
The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations We will determine the
spring constant for an individual spring using both Hookes Law and the properties of an oscillating spring system It is alsopossible to study the effects if any that amplitude has on the period of a body experiencing simple harmonic motion
Background
If an applied force varies linearly with position the force can be defined as where is called the force constantOnce such physical system where this force exists is with a common helical spring acting on a body If the spring is stretched or compressed a small distance from its equilibrium position the spring will exert a force on the body given by Hookes Lawnamely
(1)
where is known as the spring force Here the constant of proportionality is the known as the spring constant and isthe displacement of the body from its equilibrium position (at = 0 ) The spring constant is an indication of the springs
stiffness A large value for indicates that the spring is stiff A low value for means the spring is soft Generally speaking
springs with large values can balance larger forces than springs with low values
The negative sign in Equation 1 indicates that the direction of is always opposite the direction of the displacement Thisimplies that the spring force is a restoring force In other words the spring force always acts to restore or return the body tothe equilibrium position regardless of the direction of the displacement as shown in Figures 1a - 1c
Figure 1aWhen the displacement is to the right ( gt 0) the
spring force is directed to the left ( lt 0)
Figure 1bWhen the displacement is to the left ( lt 0) the
spring force is directed to the right ( gt 0)
Figure 1c In both cases shown in Figures 1a and 1b the effect of the spring force is to return the system to theequilibrium position At this position = 0 and the spring is unstretched signifying = 0
When a mass is suspended from a spring and the system is allowed to reach equilibrium as shown in Figure 2 Newtons
Second Law tells us that the magnitude of the spring force equals the weight of the body Therefore if we know themass of a body at equilibrium we can determine the spring force acting on the body
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 26
Figure 2 A body of mass is suspended from a spring having a spring
constant If the system is in equilibrium the spring force is balanced by theweight of the body
Equation 1 applies to springs that are initially unstretched When the body undergoes an arbitrary displacement from some initial
position to some final position this equation can be written as
(2)
where is the bodys displacement For example in Figure 3 the initial position of the body is 0300m When a 0200kg massis added to the mass pan the spring is stretched to the 0320m-mark as shown in Figure 4 Therefore the displacement is
0020m The spring force must balance the weight of the added mass ( = 196N) We can then determine the spring
constant for this spring
Figure 3The initial position of thebody attached to the spring is 0300 mas measured by the meter stick
Figure 4The bodys mass is increased by0200 kg and the spring force must increase tobalance the added weight Here the spring isstretched to the 0320-m mark and the springconstant is calculated to be 980 Nm (see text)
If the body in Figure 4 is displaced from its equilibrium position some maximum distance and then released it will oscillate
about the equilibrium position The body will move back and forth between the positions and When the
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 36
mass travels from the maximum displacement to the minimum displacement and then back to the position
we say that the mass has moved through one cycle or oscillation When an oscillating mass (as in the case of amass bouncing on a spring) experiences a force that is linearly proportional to i ts displacement but in the opposite direction theresulting motion is known as simple harmonic motion This motion is periodic meaning the displacement velocity and
acceleration all vary sinusoidally The time required for the body to complete one oscillation is defined as the period and isgiven by
(3)
Notice the period is dependent only upon the mass of the oscillating body and the spring constant As the stiffness of the
spring increases (that is as increases) the period decreases which has the effect of increasing the bodys average velocityConversely an increase in the bodys mass means the period will also increase thereby requiring more time for the body tomove through one oscillation It should be noted that the period of motion is independent of the amplitude of the oscillations
Objectives
1 Use the apparatus and what you know about Hookes Law to determine the spring constant of your springRemember do not suspend more than 1000 from your spring
2 Use the apparatus and what you know about oscillating spring-mass systems to determine the spring constant of your spring Remember do not suspend more than 1000 from your spring
3 xxx
Equipment and setup
bull (Figure 5) The experimental setup
bull (Figure 6) A common helical spring
bull (Figure 7) Support stand and hook
bull (Figure 8) Mass pan
bull (Figure 9) Various slotted masses Do not suspend more than
1000 grams from the springs doing so will deform the springs
bull (Figure 10) Various hooked masses Do not suspend more
than 1000 grams from the springs doing so will deform thesprings
bull (Figures 11 and 12) The computer timing devices shown in
these figures are found on our physics lab web page (Figure11) and also in the Lab Programs folder found on the computer desk tops of each laboratory computer (Figure 12)
bull (Figure 13) A triple-beam balance
bull Meter stick
[Click on images to enlarge]
5 6
7 8
9 10
11 12
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 46
13
Hints and Cautions 1 Caution Only use masses 1000 grams and less Doing so will over-stretch the springs which will permanently
deform them and render them useless
Online Assistance 1 Stopwatch timer 2 Adding a trendline to an Excel plot
3 Adding a non-linear trendline to an Excel plot
4 Create plots of two data series on one graph
5 Fitting multiple curves (trendlines) to one data set
6 Clemson Physics Lab Tutorials
7 Measurement uncertainties
8 Using Excel
9 Graphing data using Excel
10 Using error bars in Excel
Lab Report Template
Each lab group should download the Lab Report Template and fill in the relevant information as you perform the experimentEach person in the group should print-out the Questions section and answer them individually Since each lab group will turn in
an electronic copy of the lab report be sure to rename the lab report template file The naming convention is as follows
[Table Number][Short Experiment Name]doc
For example the group at lab table 5 working on the Ideal Gas Law experiment would rename their template file as 5 GasLawdoc
Nudge Questions
These Nudge Questions are to be answered by your group and checked by your TA as you do the lab They should beanswered in your lab notebook
Objective 1 Nudges
1 Which set of masses will you use for this experiment the hooked masses or the slotted ones Why2 How will you determine the position of the hanging mass
3 What is the uncertainty in the position measurements
4 In order to conduct the experiment properly must you consider the position or the change in the position or both
5 How many data points will you take for this experiment
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 56
6 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
7 What is the uncertainty in the mass measurements
8 How will you measure the spring force
9 What quantities will you plot in order to determine
10 What value did you find for
11 What are your units of
12 From your data and graph what is the minimum mass necessary to stretch the spring
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
Objective 2 Nudges 1 Which set of masses will you use for this experiment the hooked masses or the slotted ones Why2 What oscillation amplitude will you use for this experiment How is this determined
3 Does the value of the oscillation amplitude affect your results (See Objective 2)
4 How will you determine the period of the oscillating spring-mass system
5 How will you decrease the uncertainty in the period measurement
6 What is the uncertainty in the period measurements
7 How many data points will you take for this experiment
8 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
9 What is the uncertainty in the mass measurements
10 What quantities will you plot in order to determine
11 What value did you find for
12 What are your units of
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
15 How does the value for found from Objective 1 compare to this value
16 Which value is more accurate and why
Objective 3 Nudges
1 xxx
Questions
These Questions are also found in the lab write-up template They must be answered by each individual of the group This is nota team activity Each person should attach their own copy to the lab report just prior to handing in the lab to your TA
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 66
1 From your data and graph in Objective 1 what is the minimum mass necessary to stretch the spring2 Does Hookes Law apply to an oscillating spring-mass system If so what equipment would you need and what
parameters would you record in order to take data for a Hookes Law experiment when the spring-mass system isoscillating
3 When a box of unknown mass is placed into the trunk of a car both rear shocks are compressed a distance of 70cm
If we assume the two rear shocks are made from springs each with a spring constant value of = 35000Nm whatis the mass of the box (Assume g = 980ms2)
4 Mass is added to a vertically hanging rubber band and the displacement is measured with the addition of each massThe recorded data is displayed in the table below Based on this data does a rubber band obey Hookes LawExplain why or why not
Rubber Band Experiment
Mass Added(kg)
Displacement x(m)
0100 010
0200 020
0300 035
0400 055
0500 080
5 A toy maker requires a spring mechanism to drive an attached component with a period of 050s If the mass of the
component is 10g what must the value of the spring constant be
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 26
Figure 2 A body of mass is suspended from a spring having a spring
constant If the system is in equilibrium the spring force is balanced by theweight of the body
Equation 1 applies to springs that are initially unstretched When the body undergoes an arbitrary displacement from some initial
position to some final position this equation can be written as
(2)
where is the bodys displacement For example in Figure 3 the initial position of the body is 0300m When a 0200kg massis added to the mass pan the spring is stretched to the 0320m-mark as shown in Figure 4 Therefore the displacement is
0020m The spring force must balance the weight of the added mass ( = 196N) We can then determine the spring
constant for this spring
Figure 3The initial position of thebody attached to the spring is 0300 mas measured by the meter stick
Figure 4The bodys mass is increased by0200 kg and the spring force must increase tobalance the added weight Here the spring isstretched to the 0320-m mark and the springconstant is calculated to be 980 Nm (see text)
If the body in Figure 4 is displaced from its equilibrium position some maximum distance and then released it will oscillate
about the equilibrium position The body will move back and forth between the positions and When the
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 36
mass travels from the maximum displacement to the minimum displacement and then back to the position
we say that the mass has moved through one cycle or oscillation When an oscillating mass (as in the case of amass bouncing on a spring) experiences a force that is linearly proportional to i ts displacement but in the opposite direction theresulting motion is known as simple harmonic motion This motion is periodic meaning the displacement velocity and
acceleration all vary sinusoidally The time required for the body to complete one oscillation is defined as the period and isgiven by
(3)
Notice the period is dependent only upon the mass of the oscillating body and the spring constant As the stiffness of the
spring increases (that is as increases) the period decreases which has the effect of increasing the bodys average velocityConversely an increase in the bodys mass means the period will also increase thereby requiring more time for the body tomove through one oscillation It should be noted that the period of motion is independent of the amplitude of the oscillations
Objectives
1 Use the apparatus and what you know about Hookes Law to determine the spring constant of your springRemember do not suspend more than 1000 from your spring
2 Use the apparatus and what you know about oscillating spring-mass systems to determine the spring constant of your spring Remember do not suspend more than 1000 from your spring
3 xxx
Equipment and setup
bull (Figure 5) The experimental setup
bull (Figure 6) A common helical spring
bull (Figure 7) Support stand and hook
bull (Figure 8) Mass pan
bull (Figure 9) Various slotted masses Do not suspend more than
1000 grams from the springs doing so will deform the springs
bull (Figure 10) Various hooked masses Do not suspend more
than 1000 grams from the springs doing so will deform thesprings
bull (Figures 11 and 12) The computer timing devices shown in
these figures are found on our physics lab web page (Figure11) and also in the Lab Programs folder found on the computer desk tops of each laboratory computer (Figure 12)
bull (Figure 13) A triple-beam balance
bull Meter stick
[Click on images to enlarge]
5 6
7 8
9 10
11 12
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 46
13
Hints and Cautions 1 Caution Only use masses 1000 grams and less Doing so will over-stretch the springs which will permanently
deform them and render them useless
Online Assistance 1 Stopwatch timer 2 Adding a trendline to an Excel plot
3 Adding a non-linear trendline to an Excel plot
4 Create plots of two data series on one graph
5 Fitting multiple curves (trendlines) to one data set
6 Clemson Physics Lab Tutorials
7 Measurement uncertainties
8 Using Excel
9 Graphing data using Excel
10 Using error bars in Excel
Lab Report Template
Each lab group should download the Lab Report Template and fill in the relevant information as you perform the experimentEach person in the group should print-out the Questions section and answer them individually Since each lab group will turn in
an electronic copy of the lab report be sure to rename the lab report template file The naming convention is as follows
[Table Number][Short Experiment Name]doc
For example the group at lab table 5 working on the Ideal Gas Law experiment would rename their template file as 5 GasLawdoc
Nudge Questions
These Nudge Questions are to be answered by your group and checked by your TA as you do the lab They should beanswered in your lab notebook
Objective 1 Nudges
1 Which set of masses will you use for this experiment the hooked masses or the slotted ones Why2 How will you determine the position of the hanging mass
3 What is the uncertainty in the position measurements
4 In order to conduct the experiment properly must you consider the position or the change in the position or both
5 How many data points will you take for this experiment
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 56
6 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
7 What is the uncertainty in the mass measurements
8 How will you measure the spring force
9 What quantities will you plot in order to determine
10 What value did you find for
11 What are your units of
12 From your data and graph what is the minimum mass necessary to stretch the spring
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
Objective 2 Nudges 1 Which set of masses will you use for this experiment the hooked masses or the slotted ones Why2 What oscillation amplitude will you use for this experiment How is this determined
3 Does the value of the oscillation amplitude affect your results (See Objective 2)
4 How will you determine the period of the oscillating spring-mass system
5 How will you decrease the uncertainty in the period measurement
6 What is the uncertainty in the period measurements
7 How many data points will you take for this experiment
8 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
9 What is the uncertainty in the mass measurements
10 What quantities will you plot in order to determine
11 What value did you find for
12 What are your units of
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
15 How does the value for found from Objective 1 compare to this value
16 Which value is more accurate and why
Objective 3 Nudges
1 xxx
Questions
These Questions are also found in the lab write-up template They must be answered by each individual of the group This is nota team activity Each person should attach their own copy to the lab report just prior to handing in the lab to your TA
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 66
1 From your data and graph in Objective 1 what is the minimum mass necessary to stretch the spring2 Does Hookes Law apply to an oscillating spring-mass system If so what equipment would you need and what
parameters would you record in order to take data for a Hookes Law experiment when the spring-mass system isoscillating
3 When a box of unknown mass is placed into the trunk of a car both rear shocks are compressed a distance of 70cm
If we assume the two rear shocks are made from springs each with a spring constant value of = 35000Nm whatis the mass of the box (Assume g = 980ms2)
4 Mass is added to a vertically hanging rubber band and the displacement is measured with the addition of each massThe recorded data is displayed in the table below Based on this data does a rubber band obey Hookes LawExplain why or why not
Rubber Band Experiment
Mass Added(kg)
Displacement x(m)
0100 010
0200 020
0300 035
0400 055
0500 080
5 A toy maker requires a spring mechanism to drive an attached component with a period of 050s If the mass of the
component is 10g what must the value of the spring constant be
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 36
mass travels from the maximum displacement to the minimum displacement and then back to the position
we say that the mass has moved through one cycle or oscillation When an oscillating mass (as in the case of amass bouncing on a spring) experiences a force that is linearly proportional to i ts displacement but in the opposite direction theresulting motion is known as simple harmonic motion This motion is periodic meaning the displacement velocity and
acceleration all vary sinusoidally The time required for the body to complete one oscillation is defined as the period and isgiven by
(3)
Notice the period is dependent only upon the mass of the oscillating body and the spring constant As the stiffness of the
spring increases (that is as increases) the period decreases which has the effect of increasing the bodys average velocityConversely an increase in the bodys mass means the period will also increase thereby requiring more time for the body tomove through one oscillation It should be noted that the period of motion is independent of the amplitude of the oscillations
Objectives
1 Use the apparatus and what you know about Hookes Law to determine the spring constant of your springRemember do not suspend more than 1000 from your spring
2 Use the apparatus and what you know about oscillating spring-mass systems to determine the spring constant of your spring Remember do not suspend more than 1000 from your spring
3 xxx
Equipment and setup
bull (Figure 5) The experimental setup
bull (Figure 6) A common helical spring
bull (Figure 7) Support stand and hook
bull (Figure 8) Mass pan
bull (Figure 9) Various slotted masses Do not suspend more than
1000 grams from the springs doing so will deform the springs
bull (Figure 10) Various hooked masses Do not suspend more
than 1000 grams from the springs doing so will deform thesprings
bull (Figures 11 and 12) The computer timing devices shown in
these figures are found on our physics lab web page (Figure11) and also in the Lab Programs folder found on the computer desk tops of each laboratory computer (Figure 12)
bull (Figure 13) A triple-beam balance
bull Meter stick
[Click on images to enlarge]
5 6
7 8
9 10
11 12
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 46
13
Hints and Cautions 1 Caution Only use masses 1000 grams and less Doing so will over-stretch the springs which will permanently
deform them and render them useless
Online Assistance 1 Stopwatch timer 2 Adding a trendline to an Excel plot
3 Adding a non-linear trendline to an Excel plot
4 Create plots of two data series on one graph
5 Fitting multiple curves (trendlines) to one data set
6 Clemson Physics Lab Tutorials
7 Measurement uncertainties
8 Using Excel
9 Graphing data using Excel
10 Using error bars in Excel
Lab Report Template
Each lab group should download the Lab Report Template and fill in the relevant information as you perform the experimentEach person in the group should print-out the Questions section and answer them individually Since each lab group will turn in
an electronic copy of the lab report be sure to rename the lab report template file The naming convention is as follows
[Table Number][Short Experiment Name]doc
For example the group at lab table 5 working on the Ideal Gas Law experiment would rename their template file as 5 GasLawdoc
Nudge Questions
These Nudge Questions are to be answered by your group and checked by your TA as you do the lab They should beanswered in your lab notebook
Objective 1 Nudges
1 Which set of masses will you use for this experiment the hooked masses or the slotted ones Why2 How will you determine the position of the hanging mass
3 What is the uncertainty in the position measurements
4 In order to conduct the experiment properly must you consider the position or the change in the position or both
5 How many data points will you take for this experiment
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 56
6 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
7 What is the uncertainty in the mass measurements
8 How will you measure the spring force
9 What quantities will you plot in order to determine
10 What value did you find for
11 What are your units of
12 From your data and graph what is the minimum mass necessary to stretch the spring
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
Objective 2 Nudges 1 Which set of masses will you use for this experiment the hooked masses or the slotted ones Why2 What oscillation amplitude will you use for this experiment How is this determined
3 Does the value of the oscillation amplitude affect your results (See Objective 2)
4 How will you determine the period of the oscillating spring-mass system
5 How will you decrease the uncertainty in the period measurement
6 What is the uncertainty in the period measurements
7 How many data points will you take for this experiment
8 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
9 What is the uncertainty in the mass measurements
10 What quantities will you plot in order to determine
11 What value did you find for
12 What are your units of
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
15 How does the value for found from Objective 1 compare to this value
16 Which value is more accurate and why
Objective 3 Nudges
1 xxx
Questions
These Questions are also found in the lab write-up template They must be answered by each individual of the group This is nota team activity Each person should attach their own copy to the lab report just prior to handing in the lab to your TA
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 66
1 From your data and graph in Objective 1 what is the minimum mass necessary to stretch the spring2 Does Hookes Law apply to an oscillating spring-mass system If so what equipment would you need and what
parameters would you record in order to take data for a Hookes Law experiment when the spring-mass system isoscillating
3 When a box of unknown mass is placed into the trunk of a car both rear shocks are compressed a distance of 70cm
If we assume the two rear shocks are made from springs each with a spring constant value of = 35000Nm whatis the mass of the box (Assume g = 980ms2)
4 Mass is added to a vertically hanging rubber band and the displacement is measured with the addition of each massThe recorded data is displayed in the table below Based on this data does a rubber band obey Hookes LawExplain why or why not
Rubber Band Experiment
Mass Added(kg)
Displacement x(m)
0100 010
0200 020
0300 035
0400 055
0500 080
5 A toy maker requires a spring mechanism to drive an attached component with a period of 050s If the mass of the
component is 10g what must the value of the spring constant be
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 46
13
Hints and Cautions 1 Caution Only use masses 1000 grams and less Doing so will over-stretch the springs which will permanently
deform them and render them useless
Online Assistance 1 Stopwatch timer 2 Adding a trendline to an Excel plot
3 Adding a non-linear trendline to an Excel plot
4 Create plots of two data series on one graph
5 Fitting multiple curves (trendlines) to one data set
6 Clemson Physics Lab Tutorials
7 Measurement uncertainties
8 Using Excel
9 Graphing data using Excel
10 Using error bars in Excel
Lab Report Template
Each lab group should download the Lab Report Template and fill in the relevant information as you perform the experimentEach person in the group should print-out the Questions section and answer them individually Since each lab group will turn in
an electronic copy of the lab report be sure to rename the lab report template file The naming convention is as follows
[Table Number][Short Experiment Name]doc
For example the group at lab table 5 working on the Ideal Gas Law experiment would rename their template file as 5 GasLawdoc
Nudge Questions
These Nudge Questions are to be answered by your group and checked by your TA as you do the lab They should beanswered in your lab notebook
Objective 1 Nudges
1 Which set of masses will you use for this experiment the hooked masses or the slotted ones Why2 How will you determine the position of the hanging mass
3 What is the uncertainty in the position measurements
4 In order to conduct the experiment properly must you consider the position or the change in the position or both
5 How many data points will you take for this experiment
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 56
6 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
7 What is the uncertainty in the mass measurements
8 How will you measure the spring force
9 What quantities will you plot in order to determine
10 What value did you find for
11 What are your units of
12 From your data and graph what is the minimum mass necessary to stretch the spring
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
Objective 2 Nudges 1 Which set of masses will you use for this experiment the hooked masses or the slotted ones Why2 What oscillation amplitude will you use for this experiment How is this determined
3 Does the value of the oscillation amplitude affect your results (See Objective 2)
4 How will you determine the period of the oscillating spring-mass system
5 How will you decrease the uncertainty in the period measurement
6 What is the uncertainty in the period measurements
7 How many data points will you take for this experiment
8 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
9 What is the uncertainty in the mass measurements
10 What quantities will you plot in order to determine
11 What value did you find for
12 What are your units of
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
15 How does the value for found from Objective 1 compare to this value
16 Which value is more accurate and why
Objective 3 Nudges
1 xxx
Questions
These Questions are also found in the lab write-up template They must be answered by each individual of the group This is nota team activity Each person should attach their own copy to the lab report just prior to handing in the lab to your TA
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 66
1 From your data and graph in Objective 1 what is the minimum mass necessary to stretch the spring2 Does Hookes Law apply to an oscillating spring-mass system If so what equipment would you need and what
parameters would you record in order to take data for a Hookes Law experiment when the spring-mass system isoscillating
3 When a box of unknown mass is placed into the trunk of a car both rear shocks are compressed a distance of 70cm
If we assume the two rear shocks are made from springs each with a spring constant value of = 35000Nm whatis the mass of the box (Assume g = 980ms2)
4 Mass is added to a vertically hanging rubber band and the displacement is measured with the addition of each massThe recorded data is displayed in the table below Based on this data does a rubber band obey Hookes LawExplain why or why not
Rubber Band Experiment
Mass Added(kg)
Displacement x(m)
0100 010
0200 020
0300 035
0400 055
0500 080
5 A toy maker requires a spring mechanism to drive an attached component with a period of 050s If the mass of the
component is 10g what must the value of the spring constant be
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 56
6 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
7 What is the uncertainty in the mass measurements
8 How will you measure the spring force
9 What quantities will you plot in order to determine
10 What value did you find for
11 What are your units of
12 From your data and graph what is the minimum mass necessary to stretch the spring
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
Objective 2 Nudges 1 Which set of masses will you use for this experiment the hooked masses or the slotted ones Why2 What oscillation amplitude will you use for this experiment How is this determined
3 Does the value of the oscillation amplitude affect your results (See Objective 2)
4 How will you determine the period of the oscillating spring-mass system
5 How will you decrease the uncertainty in the period measurement
6 What is the uncertainty in the period measurements
7 How many data points will you take for this experiment
8 What mass values will you use for this experiment Remember do not suspend more than 1000g from your spring
9 What is the uncertainty in the mass measurements
10 What quantities will you plot in order to determine
11 What value did you find for
12 What are your units of
13 Does the best-fit line of your graph fall within the data points error bars
14 What is the uncertainty in your value for
15 How does the value for found from Objective 1 compare to this value
16 Which value is more accurate and why
Objective 3 Nudges
1 xxx
Questions
These Questions are also found in the lab write-up template They must be answered by each individual of the group This is nota team activity Each person should attach their own copy to the lab report just prior to handing in the lab to your TA
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 66
1 From your data and graph in Objective 1 what is the minimum mass necessary to stretch the spring2 Does Hookes Law apply to an oscillating spring-mass system If so what equipment would you need and what
parameters would you record in order to take data for a Hookes Law experiment when the spring-mass system isoscillating
3 When a box of unknown mass is placed into the trunk of a car both rear shocks are compressed a distance of 70cm
If we assume the two rear shocks are made from springs each with a spring constant value of = 35000Nm whatis the mass of the box (Assume g = 980ms2)
4 Mass is added to a vertically hanging rubber band and the displacement is measured with the addition of each massThe recorded data is displayed in the table below Based on this data does a rubber band obey Hookes LawExplain why or why not
Rubber Band Experiment
Mass Added(kg)
Displacement x(m)
0100 010
0200 020
0300 035
0400 055
0500 080
5 A toy maker requires a spring mechanism to drive an attached component with a period of 050s If the mass of the
component is 10g what must the value of the spring constant be
7302019 Hookes Law Experiment3
httpslidepdfcomreaderfullhookes-law-experiment3 66
1 From your data and graph in Objective 1 what is the minimum mass necessary to stretch the spring2 Does Hookes Law apply to an oscillating spring-mass system If so what equipment would you need and what
parameters would you record in order to take data for a Hookes Law experiment when the spring-mass system isoscillating
3 When a box of unknown mass is placed into the trunk of a car both rear shocks are compressed a distance of 70cm
If we assume the two rear shocks are made from springs each with a spring constant value of = 35000Nm whatis the mass of the box (Assume g = 980ms2)
4 Mass is added to a vertically hanging rubber band and the displacement is measured with the addition of each massThe recorded data is displayed in the table below Based on this data does a rubber band obey Hookes LawExplain why or why not
Rubber Band Experiment
Mass Added(kg)
Displacement x(m)
0100 010
0200 020
0300 035
0400 055
0500 080
5 A toy maker requires a spring mechanism to drive an attached component with a period of 050s If the mass of the
component is 10g what must the value of the spring constant be
