A loaded ore car has a mass of 950 kg and rolls on rails with negligible frictio

Question

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 at 28.5° above the horizontal. The car accelerates uniformly to a speed of 2.15 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? . 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?

Explanation / Answer

Power is the rate at which work is done. That is:

Power = work / time

Work is force times distance:

work = force

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