A 2.1-kg block is released from rest and allowed to slide down a frictionless surface and into a spring. The far end of the spring is attached to a wall, as shown. The initial height of the block is 0.36 m above the lowest part of the slide and the spring constant is 475 N/m.
(a) What is the block's speed when it is at a height of 0.25 m above the base of the slide?
(b) How far is the spring compressed?