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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 36.0° above the horizontal. The car accelerates uniformly to a speed of 2.10 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?
kW
(b) What maximum power must the motor provide?
(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
A 1125 kg car and a 2250-kg pickup truck approach a curve on the express way that has a radius of 225 m. (a) At what angle should the highway engineer bank this curve so that vehicles traveling at 95 km/h can safely round it? (b) As car and truck ..
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