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Elastic Potential Energy

Instructions: Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

1.
If you use a rubber band as a slingshot for a paper ball, which of the following best describes when the rubber band is doing work on the paper ball?
1. when it is stretched completely and not moving
2. when it is moving forward
3. after the ball is launched into the air
4. it applies the same force until the ball hits something
2.
A block of mass $m$ is attached to an ideal spring is free to glide on a frictionless table, as shown below. At the point $x=X$, the block's potential energy reaches its                                                      .
1. minimum
2. maximum
3. average value
4. either maximum or minimum, depending on other factors
3.
In the system shown below, the spring constant $k$ is quadrupled by parallely connecting three more identical springs. As a result, the period of the simple harmonic motion will                          .
1. double
3. decrease by a factor of 2
4. decrease by a factor of 4
4.
A mass attached to an ideal spring is free to glide on a frictionless surface, as shown below. At the point $x=0$,the kinetic energy of the mass reaches its                                                      .
1. minimum
2. maximum
3. average value
4. either maximum or minimum, depending on other factors
5.
In the image below, the distance the spring will extend when released is inversely proportional to the restorative force of the spring.
1. True
2. False
6.
When testing a spring, you find that it takes 25 N of force to compress the spring by 15 cm. What is the spring constant for this spring?

7.
Victor is using resistance bands as part of his workout routine. If he can supply a maximum force of 667 N how far will he be able to stretch a resistance band that has k = 445 N/m?

8.
What is the elastic potential energy of a rubber band with a spring constant of 35.0N/m, if it is stretched by 8.0cm from its original length?

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