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M o d e l   N o .   M E - 6 8 4 3

 Se n s o r - b a s e d  E x p e r i m e n t

5

Spring Compression

Release

4.

Press the 

ZERO

 or 

TARE

 button on the force sensor.

5.

Start data recording.

6.

Slowly pull back with the force sensor until the spring is 

almost

 completely com-

pressed.

Note: Have your partner hold the track to prevent it from slipping, but be careful not to block 
the motion sensor.

7.

Stop data recording.

8.

Determine 

k

 from the slope of the 

F

x

 versus 

x

 graph.

9.

Measure the area under graph. This area equals the work, 

W

, that you did on the 

spring. 

10.

From the graph, determine the displacement (or 

change

 in position) of the end of 

the spring.

11.

Use Equation 3 to calculate 

U

spring

, the potential energy stored in the spring after 

you compressed it.

12.

Compare 

W

 to 

U

spring

. Do both values have the same (or equivalent) units? What 

is the percent difference?

13.

Repeat steps 1 through 8 to determine the spring constants of all three springs.

Untie the string from the launcher shaft for the next part.

Spring Potential Energy and Kinetic Energy

In this part, you will study the relationship between the potential energy initially 
stored in the spring and the kinetic energy of the cart just after launch.

1.

Place a second end stop on the track about 8 cm behind the first end stop.

2.

Place the cart on the track with the launcher shaft through the hole in the first end 
stop. Position the cart so that the spring is touching the end stop but not com-
pressed.

3.

Start data recording.

4.

Wait a few seconds (to let the sensor measure the uncom-
pressed position). Push the shaft through both and stops and 
put the release pin into the shaft. Let the pin rest against the 
second end stop and wait a few more seconds (to let the sen-
sor measure the compressed position).

Important: In the next step, have your partner catch the cart before it 
hits the motion sensor.

5.

Pull out the release pin with a quick jerk to launch the cart

6.

Stop data recording.

7.

Determine the spring compression from the graph of position 
versus time.

Содержание ME-6843

Страница 1: ...n many of the PASCO dynamics systems See PASCO catalog or www pasco com for details 1 ME 6951 ME 6950 ME 9430 or ME 9454 Track2 1 ME 6953 or similar End Stops3 3 New style plastic end stops required These are included with PASCO dynamics systems starting in 2007 2 ME 9469 2 pack Recommended Equipment 250 g Compact Cart Mass 2 ME 6755 For sensor based method Motion Sensor4 4PASPORT sensors require ...

Страница 2: ...ck and two adjustable end stops 1 Fit the Spring Cart Launcher onto the top of the cart as illus trated Tighten the thumbscrews to secure it 2 Select one of the included springs Slide it onto the launcher shaft with the flared end out Turn the spring to secure the end in the spring retention hole as illustrated 3 Tie the string to the release pin 4 Install two end stops near one end of a dynamics ...

Страница 3: ...sition x1 to x2 the work that you do is equal to the area under the Fx versus x graph or eq 2 The potential energy stored in a spring is eq 3 The kinetic energy of a cart moving on a track is eq 4 where m is the mass of the cart and V is the magnitude of velocity The change in gravitational potential energy of a cart moving up an inclined track is eq 5 where g 9 8 m s2 s is the distance traveled a...

Страница 4: ... stop on the track If you are using a 1 2 m track place the end stop near one end If you are using a 2 2 m track place the end stop in the middle 3 Level the track so that the cart does not roll when release from a standstill 4 Clip the motion sensor to the end of the track opposite from the end stop Aim the sensor along the track Set the range switch to the NEAR or cart setting 5 Connect the moti...

Страница 5: ...all three springs Untie the string from the launcher shaft for the next part Spring Potential Energy and Kinetic Energy In this part you will study the relationship between the potential energy initially stored in the spring and the kinetic energy of the cart just after launch 1 Place a second end stop on the track about 8 cm behind the first end stop 2 Place the cart on the track with the launche...

Страница 6: ...ps 1 through 3 on page 2 2 Install an end stop about 20 cm from the end of the track 3 Clamp a pulley to the same end of the track 4 Position the track so that a mass hanging from the pulley is free to hang over the edge of your lab bench 5 Level the track so that the cart does not roll when release from a standstill 6 Place the cart on the track with the launcher shaft through the hole in the end...

Страница 7: ...sition of the cart as x2 5 Pull out the release pin with a quick jerk 6 Watch the cart carefully as it ascends the track Observe the highest position achieved Try to read it to the nearest centimeter Record this position as x3 7 Calculate the spring compression x x1 x2 8 Use x the value of k that you found in the previous part and Equation 3 to calcu late the initial potential energy of the spring...

Страница 8: ...llision with a Fixed Object Set up a track with an end stop at one end and a motion sensor at the other end Set the sampling rate to 50 Hz Start data recording Give the cart a push to make it roll along the track and bounce off the end stop Stop data recording Hold the cart stationary with the spring just touching the end stop and record a second data run to measure the zero compression position U...

Страница 9: ...ithout the written con sent of PASCO scientific is prohibited Trademarks PASCO PASCO scientific DataStudio PASPORT and ScienceWorkshop are trademarks or registered trademarks of PASCO scien tific in the United States and or in other countries All other brands products or service names are or may be trademarks or service marks of and are used to identify products or services of their respective own...

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