The 20-lb box slides on the surface for which μk = 0.3. The box has a velocity v = 15 ft/s...

The 20-lb box slides on the surface for which μk = 0.3. The box has a velocity v = 15 ft/s when it is 2 ft from the plate. If it strikes the smooth plate, which has a weight of 10 lb and is held in position by an unstretched spring of stiffness k = 400 lb/ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly.