A ski tow operates on a 15.0 degrees slope of lenth 300m. The rope moves at 12.0km/h and provides power for 50 riders at one time, with an average mass per rider of 70.0kg. Estimate the power required to operate the tow.

emancipezN

emancipezN

Answered question

2020-11-23

A ski tow operates on a 15.0 degrees slope of lenth 300m. The rope moves at 12.0km/h and provides power for 50 riders at one time, with an average mass per rider of 70.0kg. Estimate the power required to operate the tow.

Answer & Explanation

au4gsf

au4gsf

Skilled2020-11-24Added 95 answers

Gravity is doing negative work, so the rope must do positive work to lift the skirts. The force is gravity, and
F=Nmg
where N is the number of skiers on the rope. The power is then:
P=(Nmg)(v)cos(ϕ)
P=(50)(70)(9.8)(12 kmh)(1 ms3.6 kmh)
cos(9015)
P=2.96×104 W

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