A ski lift carries passengers up a 150 m high slope at the rate of one chair every 30.0 seconds.If the chair will hold two passengers with a total mass of 190 kg,then the power of the engine that powers the ski lift is

Question

Quizplus · Accepted Answer

First, we need to calculate the work done by the ski lift per chair:

Work = force x distance

The weight of the two passengers is:

m = 190 kg

The force required to lift them is:

F = mg = 190 kg x 9.8 m/s^2 = 1862 N

The distance lifted per chair is:

d = 150 m

Therefore, the work done per chair is:

W = F x d = 1862 N x 150 m = 279,300 J

The ski lift carries one chair every 30.0 seconds, so the power of the engine is:

P = W / t = 279,300 J / 30.0 s = 9310 W

We can then convert this to kW:

P = 9.31 kW

Therefore, the answer is D) 9.31 kW.

A Ski Lift Carries Passengers Up a 150 M High