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# Problem: 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 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 winch motor provide?(c) What total energy has transferred 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?

###### FREE Expert Solution

Power is given by:

$\overline{){\mathbf{P}}{\mathbf{=}}\frac{\mathbf{W}}{\mathbf{t}}}$

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###### Problem Details

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 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 winch motor provide?
(c) What total energy has transferred 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?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Power concept. You can view video lessons to learn Power. Or if you need more Power practice, you can also practice Power practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Pan's class at UW-MADISON.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Physics for Scientists and Engineers - Serway Calc 9th Edition. You can also practice Physics for Scientists and Engineers - Serway Calc 9th Edition practice problems.