Part A. Determine the period of a 1.9-m-long pendulum on the Moon, where the free-fall acceleration is 1.62 m/s2. Express your answer to two significant figures and include the appropriate units.

Part B. Define the equation for the period of an object attached to a spring. Assume the mass of the object is m and a spring constant is k.

Part C. A 500-kg ball at the end of a 30-m cable suspended from a crane is used to demolish an old building. If the ball has an initial angular displacement of 10^o from the vertical, determine its speed at the bottom of the arc. A pendulum swings with amplitude 0.02 m and period of 2.0s.

Part D. What is its maximum speed? Express your answer to two significant figures and include the appropriate units.

Part E. The position of a vibrating object changes as a function of time as x=(0.17m)cos(Πs-1)t. Write an expression for the velocity as functions of time. Express your answer in terms of t and appropriate constants.