Concept explainers
A rope tow is used to move snow skiers along a 40° incline. The tow is designed to simultaneously carry 50
skiers of average mass 80.0 kg. The skiers simply stand on their skis and hold onto the rope as it pulls them
up the hill. The coefficient of kinetic friction between the skis and snow is 0.12.
(a) What total force must the winch at the top of the hill exert to pull a full complement of skiers up the hill at
a constant speed? Provide an appropriate free-body diagram.
(b) If the hill is 800.0 m long and a skier starts from rest at the top and heads straight down with maximum
acceleration for the first 3.0s, and then continues at a constant speed until she reaches the bottom, how long
will the entire descent take? Include a new free-body diagram.
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