Review Questions

1. According to Hooke’s law for a mass vibrating on an ideal spring, doubling the stretch distance will

   1. double the velocity of the mass.
   2. double the force that the spring exerts on the mass.
   3. quadruple the force the spring exerts on the mass.
   4. double the period.
   5. double the frequency.

2. For an ideal spring, the slope of a force vs. displacement graph is equal to

   1. the work done by the spring.
   2. the amplitude.
   3. the period.
   4. the frequency.
   5. the spring constant.

3. Consider the force vs. displacement graph shown for an ideal spring.

   

   The work done in stretching the spring from 0.2 m to 0.3 m is

   1. 1 J.
   2. 10 J.
   3. 0.10 J.
   4. 0.15 J.
   5. 1.5 J.

4. A pendulum swings with an amplitude θ as shown.

   

   If the amplitude is increased and the pendulum is released from a greater angle,

   1. the period will decrease.
   2. the period will increase.
   3. the period will not change.
   4. the frequency will increase.
   5. the frequency will decrease.

5. A mass on an ideal spring vibrates between points A and E as shown.

   

   At which point is the acceleration of the mass the greatest?

   1. A
   2. B
   3. C
   4. D
   5. The acceleration is the same at all points.

6. A mass vibrates on an ideal spring as shown.

   

   The total energy of the spring is 100 J. What is the kinetic energy of the mass at point B?

   1. 25 J
   2. 50 J
   3. 75 J
   4. 100 J
   5. 200 J