A frictionless spring of spring constant 500 N/m has one end attached to a vertical wall and the other end to a block of mass 3.0 kg, which is free to move in one dimension on a horizontal frictionless table. When the spring is relaxed, the block is at x = 0. Now the block is pulled to a displacement of 20 cm and left to oscillate. Assume no friction.
a. Find the amplitude and frequency of oscillation.
b. After how much time does the block first return to x = 0?
c. What is the time period of the oscillation?
d. What is the maximum Elastic Potential Energy?