16.03.18 AP Warm Up 5

A simple pendulum and a mass hanging on a spring both have a period of 1 sec when set into oscillatory motion on Earth. They are taken to Planet X, which has the same diameter as Earth but twice the mass. Which is true about the periods of the two objects on Planet X compared to their periods on Earth?

• Both are shorter.
• Both are the same.
• The period of the spring is shorter; the pendulum is the same.
• The period of the pendulum is shorter; the spring is the same

An object is attached to a spring and oscillates with amplitude A and period T, as represented on the graph. The nature of the velocity v and acceleration a of the object at time T/4 is best represented by which of the following?

• v > 0, a > 0 
• v > 0, a < 0
• v > 0, a = 0 
• v = 0, a < 0

An object swings on the end of a cord as a simple pendulum with period T. Another object oscillates up and down on the end of a vertical spring also with period T. If the masses of both objects are doubled, what are the new values for the Periods? See picture for answer choices.

• (A)
• (B)
• (C)
• (D)

A block on a horizontal frictionless plane is attached to a spring. The block oscillates along the x-axis with simple harmonic motion of amplitude A. Which of the following statements about energy is correct?

• The potential energy of the spring is at a minimum at x = 0.
• The potential energy of the spring is at a minimum at x = A.
• The kinetic energy of the block is at a minimum at x = 0.
• The kinetic energy of the block is at a maximum at x = A.

A simple pendulum consists of a l.0 kilogram brass bob on a string about 1.0 meter long. It has a period of 2.0 seconds. The pendulum would have a period of 1.0 second if the...

• string were replaced by one about 0.25 meter long
• string were replaced by one about 2.0 meters long
• bob were replaced by a 0.25 kg brass sphere
• bob were replaced by a 4.0 kg brass sphere