A block of mass m approaches the foot of a hill with a speed of v.. It heads up the frictionless hill of height h and reaches the top. The top is rough with coefficient of kinetic friction u; over a distance d. After the rough patch, there is a spring of spring constant k. Ignore air resistance. a) Assume that the block does not make it through the rough patch. Determine the length L that it travels through the rough patch before coming to rest. b) For the situation in (a), what is the work done by non-conservative forces? c) Now assume that the block does make it through the rough patch. Determine the maximum compression of the spring