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
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Chapter7: Conservation Of Energy
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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 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
Need Help?
Road !!
Transcribed Image Text: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 Need Help? Road !!
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