A loaded ore car has a mass of 950 kg 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 at25.5above the horizontal. The car accelerates uniformly to a speed of2.00m/s in10.0s and then continues at constant speed.

(a) What power must the winch motor provide when the car is moving at constant speed? Find the force that must be exerted by the cable in order to keep the cart moving at constant velocity and use that force to find the power required.kW (b) What maximum power must the motor provide? Use the given information to find the acceleration of the cart and the total force that the cable must exert. Then use that information to find the maximum power expended.kW (c) 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 1,250 m? J