A 10.0 kg block is to be projected across a rough horizontal floor by means of a compressed spring device. The spring has a spring constant of 5000 N/m, while the coeffiecient of static and kinetic friction between the block and the floor are known to be 0.575 and 0.385, respectively. The spring is initially compressed a distance of 0.250 m. Answer the following:
(a) What is the potential energy, in joules, stored in the spring before it is released?
(b) What is the work done by friction, in joules, as the block slides to a stop?
(c) How far, in meters, will the block slide from its initial position against the compressed spring before it stops moving?