A ski tow carries people to the top of a nearby mountain. It operates on a slope of angle $ 15.7^\circ $ of length $ 260 $ $ \text{m} $. The rope moves at a speed of $ 13.0 $ $ \text{km/h} $ and provides power for $ 54 $ riders at one time, with an average mass per rider of $ 67.0 $ $ \text{kg} $.

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A ski tow carries people to the top of a nearby mountain. It operates on a slope of angle $ 15.7^\circ $ of length $ 260 $ $ \text{m} $. The rope moves at a speed of $ 13.0 $ $ \text{km/h} $ and provides power for $ 54 $ riders at one time, with an average mass per rider of $ 67.0 $ $ \text{kg} $.(a) Estimate the power required to operate the tow. Express your answer in watts.
, (b) If the input power were to double, how much faster will the riders reach the top of the mountain?
:

Jason · Accepted Answer

$3.47 \times 10^4 \;\text{W} $
Riders reach the top twice as fast

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