An elevator cable breaks when a 925-kg elevator is 28.5 m above the top of a huge spring (k = 8.00 × 104 N/m) at the bottom of the shaft. Calculate

(a) The work done by gravity on the elevator before it hits the spring;

(b) The speed of the elevator just before striking the spring;

(c) The amount the spring compresses (note that here work is done by both the spring and gravity).