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 34.5° above the horizontal. The car accelerates uniformly to a speed of 2.00 m/s in 12.5s and then continues at constant speed. (a) What power must the winch motor provide when the car is moving at constant speed? 10.55 ✓ kW (b) What maximum power must the motor provide? 10.80 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 m² 5.65 10'6 x Consider how the change in mechanical energy of the cart is related to the amount of energy that transfers into and out of the system. J Need Help? Read Masters

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 34.5° above the horizontal. The car accelerates uniformly to a speed of 2.00 m/s in 12.5s and then continues at constant speed. (a) What power must the winch motor provide when the car is moving at constant speed? 10.55 ✓ kW (b) What maximum power must the motor provide? 10.80 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 m² 5.65 10'6 x Consider how the change in mechanical energy of the cart is related to the amount of energy that transfers into and out of the system. J Need Help? Read Masters

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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Instantaneous Power

Power is defined in physics as the amount of energy transmitted or transformed per unit time. The watt is the unit of electricity in the International System of Units, equivalent to one joule per second.

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 34.5° above the horizontal. The car accelerates uniformly to a speed of 2.00 m/s in 12.5s and then continues at constant speed.
(a) What power must the winch motor provide when the car is moving at constant speed?
10.55
✓ kW
(b) What maximum power must the motor provide?
10.86
✓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 m²
5.65 106
X
Consider how the change in mechanical energy of the cart is related to the amount of energy that transfers into and out of the system. J
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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 34.5° above the horizontal. The car accelerates uniformly to a speed of 2.35 m/s in 11.5 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? 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
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 26.5° above the horizontal. The car accelerates uniformly to a speed of 2.40 m/s in 10.0 s and then continues at constant speed. (a) What power must the winch motor provide when the car is moving at constant speed? 9969.8 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? 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?