A package of mass m = 6.00 kg is released on a 53.1∘ incline, a distance D = 5.00 m from a long spring with force constant 1.30×102N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are μs = 0.400 and μk = 0.200. The mass of the spring is negligible.

(a) What is the maximum compression of the spring?
(b) Calculate the instant net force exerted on the package at its lowest point. Will the package remain there?
(c) Using the general energy equation for the motion of the package between the lowest and the final points, find how close the package is to its original position. (The package rebounds up the incline. When it stops again, how close does it get to its original position?)
(d) What is the change in the internal energy of the package and incline from the point at which the package is released until it rebounds to its maximum height?