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A ski lift carries 900 skiers per hour up a slope with a constant incline of 15 degrees and a vertical drop (difference in altitude between top and bottom) of 240 meters. It takes 3.5 minutes for the lift to bring each skier from the bottom to the top of the slope.
a) If there are no losses due to friction, what is the power required to run the lift? Make reasonable estimates for any quantities you need that are not given in the problem, and explain how you arrived at those estimates. (I used 70 kg for the weight of each skier.)
b) Assume the lift works by dragging the skiers along the snow and that the coefficient of kinetic friction between the skis and the snow is 0.04. Also, let's assume that 10% of the power is lost as heat in the lift's mechanisms. How much power is required to run the lift?
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