## What is the period of a pendulum with a length of 2 meters on Earth? On the Moon?

Physics II HW 1 SHM     Name___________________________

1. A 100 g object connected to a spring (k= 40 N/m) oscillates on a horizontal frictionless surface with an amplitude of 4.00 cm.  Find the period and the total energy of the system.
• What is the period of a pendulum with a length of 2 meters on Earth? On the Moon?
• A 5 kg mass is attached to a spring that is hanging vertically. The spring is stretched 0.25 m from its equilibrium position. What is the spring constant?
• A spring of constant k = 100 N/m hangs at its natural length from a fixed stand. A mass of 3 kg is hung on the end of the spring, and slowly let down until the spring and mass hang at their new equilibrium position.
• Find the value of the quantity x in the figure above.

The spring is now pulled down an additional distance x and released from rest.

• What is the potential energy in the spring at this distance?
• What is the speed of the mass as it passes the equilibrium position?
• How high above the point of release will the mass rise?
• What is the period of oscillation for the mass?
• Calculate the length of a pendulum on earth whose frequency of oscillation is 10 Hz.
• On planet X64J1, the period of a 0.50 m pendulum is 1.8 s.  What is the acceleration due to gravity on this planet?
• What is the value of g for a location where a pendulum 1.88 m long has a period of 2.20 s?
• The period of a mass on a spring is 2 s. If k=50 N/m, what is the mass?
• Explain SHM.
1. Explain Hook’s law.