Enter your Name:   Enter your E-mail Address:  Be sure to write all your answers with the proper number of significant figures and to list the units that go with your answers! 01. A system is pulled away from its equilibrium position and then released. If "z" is a measurement of the system's displacement from equilibrium, "C" is a constant, and F represents the restoring force, which of the following relationships between the variables will result in simple harmonic motion? 02. A mass/spring system is pulled 5.4 cm from equilibrium and then released. Its period of motion is measured to be 1.1 seconds. The system is then brought to a halt. Next, it is displaced 10.0 cm from its equilibrium position and released again. What will its new period of motion be? 03. In a mass/spring system, where does the mass have the greatest amount of kinetic energy? 04. In a mass/spring system, where does the mass experience the greatest acceleration? 05. You are doing an experiment to measure the period of simple harmonic motion exhibited by a pendulum. The instructions tell you to displace the pendulum from its equilibrium position and release it. Unfortunately, the instructions do not tell you how far from equilibrium to displace the pendulum. Keeping in mind that you are trying to study simple harmonic motion, should you displace the pendulum a large or small distance from equilibrium? 06. You construct two pendulums. The first has twice the mass as the second. Otherwise, they are identical. How do the periods of the pendulums compare? 07. You construct two pendulums. The first is significantly shorter than the second. Otherwise, they are identical. How do the periods of the pendulums compare? 08. If the motion of a mass/spring system has an amplitude of 12.1 cm, how far from equilibrium was it initially displaced? 09. A 34.5 kg mass bounces on a spring (k = 12.1 Newtons/m). What is the period of its motion? 10. An object is hung on a spring, causing the spring to stretch 15.1 cm. If the force constant of the spring is 2.9 Newtons/meter, what is the mass of the object? 11. A 5.61-kg fish is hung on a spring scale. The spring stretches 9.2 cm in response. The fisherman, in an effort to make the fish seem heavier, pulls down on the fish, displacing it an additional 3.1 cm. His wife, trying to make him honest, slaps his hand, making him release the fish. As a result, the fish begins bouncing up and down on the spring scale. What is the period of its motion? Questions 12 - 14 refer to the following situation: A 45.0 kg mass is hung on a spring (k = 5.11 Newtons/meter). The system is then displaced 30.0 cm from equilibrium and released. 12. What is the total energy of the mass/spring system? 13. What is the mass's maximum speed? 14. What will its speed be when it is 10.0 cm from equilibrium? 15. An astronaut has lost her star charts and has no idea what planet she has just landed on. Although she has no star charts, she does have a list of known planets and their gravitational accelerations. Being a good physicist, she puts together a 0.75-m long pendulum and measures its period to be 2.8 seconds. Given the list below, what planet is she on?