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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Two toboggans (with riders) of the same mass are at rest on top of a steep hill. As they slide down the hill, toboggan A takes a straight path down the slope while toboggan B winds back and forth along a more gently sloping path. Toboggan A makes the trip in half the time of toboggan B. (a) Compare the work done by gravity on each toboggan. (b) Compare the average power delivered by gravity on the two toboggans.

(a)

To determine
The work done by gravity on each of the toboggan.

Explanation
Since, both of the toboggans are having the same mass and are in the same hill, the gravitational potential energy of each of the toboggans will be same as,

Wt=mgh

  • m is the mass of toboggan
  • g is acceleration due to gravity
  • h is the height of the hill

Consider the friction of the toboggans with the hill is negligible

(b)

To determine
The average power delivered by the gravity on the two toboggans.

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