Question

You use a rope to slowly pull a sled and its passenger 60 m up a...

You use a rope to slowly pull a sled and its passenger 60 m up a 20∘ incline, exerting a 140-N force on the rope. The system is the sled.

1. How much work will you do if you pull parallel to the incline?

2. How much work will you do if you exert the same magnitude force while slowly lowering the sled back down the incline and pulling parallel to the incline?

3.How much work did Earth do on the sled for the trip in Part 2?

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Answer #1

Given,

d = 60 m ; theta = 20 deg ; F = 140 N

1)when parallel, theta = 0 and cos(theta) = 1

W = F d cos(theta) = F d

W = 140 x 60 = 8400 J

Hence, W = 8400 J

2)W = F d cos(theta)

W = -140 x 60 x cos0 = -8400

Hence, W = -8400

c)W = 8400 J

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