On a particularly bad day, the cable of a 1800. Kg elevator snaps when the elevator is at rest on the first floor and falls a distance of 3.740 m onto a spring with spring constant of 0.150MN/m. A safety device clamps onto the elevator against guide rails onto the guide rails so that a constant frictional force of 4.4 kN opposes the elevators motion. a) Find the speed of elevator just before it hits the spring. (4 points) b) Find the maximum compression of the spring. (The frictional force continues to act on the elevator). (4 points) c) Find the distance that the elevator bounces up the shaft. (4 points) d) Using conservation of energy, find the approximate total distance than elevator will more before coming to rest. (4 points)