A loaded ore car has a mass of 9.50 x 102 kg and rolls onrails with negligible friction. It starts from rest and is pulledup a mine shaft by a cable connected to a winch. The shaftis inclined at 30.0° above the horizontal. The car acceleratesuniformly to a speed of 2.20 m/s in 12.0 s and then continuesat constant speed. (a) What power must the winch motor providewhen the car is moving at constant speed? (b) What maximumpower must the motor provide? (c) What total energytransfers out of the motor by work by the time the car movesoff the end of the track, which is of length 1 250 m?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 41P: A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from...
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A loaded ore car has a mass of 9.50 x 102 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 30.0° above the horizontal. The car accelerates
uniformly to a speed of 2.20 m/s in 12.0 s and then continues
at constant speed. (a) What power must the winch motor provide
when the car is moving at constant speed? (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?

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