Question
Asked Dec 16, 2019
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A skier of mass 61 kg is pulled up a slope by a motor-driven cable.
(a) How much work is required to pull him 55 m up a 30° slope (assumed frictionless) at a constant speed of 2.1 m/s?
kJ
(b) What power (expressed in hp) must a motor have to perform this task?
hp
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A skier of mass 61 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 55 m up a 30° slope (assumed frictionless) at a constant speed of 2.1 m/s? kJ (b) What power (expressed in hp) must a motor have to perform this task? hp

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Expert Answer

Step 1

 

Given:

Mass = 61 kg

Distance to be covered = 55 m

Angle = 30o

Speed = 2.1 m/s

Step 2

Part (a): Work done can be calculated as:

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W = mgd, where, d is the vertical distance covered by the mass d = dsine d = 55 sin 30° d = 27.5 m W = 61×9.8× 27.5 W =16439.5J W =16.44kJ

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Step 3

Time taken by the skier to trav...

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t = 55 t = 2.1 t = 26.19s

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Science

Physics

Work,Power and Energy

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