A loaded ore car has a mass of 955 kilogram and rolls on rails with negligible friction. It starts from rest and is pulled up a mine shaft by a cable connected to a winch. The shaft is inclined at 30.0o above the horizontal. The car accelerates uniformly to a speed of 2.20 m/s in 13.0 second and then continues at constant speed.
(a) Find what power must the winch motor provide when the car is moving at constant speed?
(b) Find what maximum power must the winch motor provide?
(c) Find what total energy transfers out of the motor by work by the time the car moves off the end of the track, which is of length 1300 meter?