A 5-kg block is held against a spring of force constant 20 N/cm, compressing it 3 cm. The block is released and the spring extends, pushing the block along a rough horizontal surface. The coefficient of friction between the surface and the block is 0.2.

(a) Find the work done on the block by the spring as it extends from its compressed position to its equilibrium position.

(b) Find the energy dissipated by friction while the block moves the 3 cm to the equilibrium position of the spring.

(c) What is the speed of the block when the spring is at its equilibrium position?

(d) If the block is not attached to the spring, how far will it slide along the rough surface before coming to rest?