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A loaded ore car has a mass of 935 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 at 28.5° above the horizontal. The car accelerates uniformly to a speed of 2.20 m/s in 10.5 s and then continues at constant speed.

(a) What power must the winch motor provide when the car is moving at constant speed?

W

(b) What maximum power must the winch motor provide?

W

(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 1250 m?

J

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