2) An Elevator with a mass of 2500Kg rests at a level 10 m above the base of an elevator shaft. It israised to 100 m above the base of shaft, where the cable holding itbreaks. The elevator falls freely to the base of the shaft andstrikes a strong spring. The spring is designed to bring theelevator to rest and to hold the elevator at the position ofmaximum spring compression. Assuming the entire process to befrictionless, calculate:
a) The potential energy of the elevator in its position relativeto the base of the shaft.
b) The work done in raising the elevator.
c) The potential energy of the elevator in its highest positionrelative to the base of the shaft.
d) The velocity and kinetic energy of the elevator just beforeit strikes the spring.
e) The potential energy of the compressed spring.