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You are to determine the size of the engine, in kilowatts and horsepower, needed

ID: 1518021 • Letter: Y

Question

You are to determine the size of the engine, in kilowatts and horsepower, needed to run the tow rope at a ski hill. You have determined that the hill is 220 m long, has a 23 degree slope, and that the average coefficient of kinetic friction between the skis and snow is = 0.10. The manager of the hill has told you the average mass of the skiers is 75 kg. the tow rope must be able to pull up to 30 skiers at a time, and it should take 2.0 min for the skiers to reach the top of the hill at a constant speed.

Explanation / Answer

Work done = mgh = 75*30*9.8*220*0.1*sin 23

Work done = 189543.67 J

Power = workdone/time = 189543.67 / 2*60 = 1579.5 Watts

Power = 1.579 Kilo Watts

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