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? (29000 N) (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 3.0 s, and then continues at a constant speed until she reaches the bottom, how long will the entire descent take? (51s)

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Chapter1: Units, Trigonometry. And Vectors
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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? (29000 N)
(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 3.0 s, and then continues at a constant speed until she reaches
the bottom, how long will the entire descent take? (51s)
Transcribed Image Text:塔 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? (29000 N) (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 3.0 s, and then continues at a constant speed until she reaches the bottom, how long will the entire descent take? (51s)
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