College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Problem 1:** A heavy rope, 10 m long, weighs 0.5 N/m and hangs over the edge of a building 100 m high.

(a) How much work is done in pulling the rope to the top of the building?

(b) How much work is done in pulling the top half of the rope to the top of the building? (The bottom half of the rope is still hanging.)

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Explanation:

This problem involves calculating the work done in moving a heavy rope by considering its linear weight density and the gravitational force exerted on it.

Part (a) asks for the total work done to pull the full length of the rope to the top of the building. The work is calculated by integrating the weight over the distance it is moved against gravity.

Part (b) is about finding the work done in pulling only the top half of the rope to the top, with the bottom half remaining hanging.
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Transcribed Image Text:**Problem 1:** A heavy rope, 10 m long, weighs 0.5 N/m and hangs over the edge of a building 100 m high. (a) How much work is done in pulling the rope to the top of the building? (b) How much work is done in pulling the top half of the rope to the top of the building? (The bottom half of the rope is still hanging.) --- Explanation: This problem involves calculating the work done in moving a heavy rope by considering its linear weight density and the gravitational force exerted on it. Part (a) asks for the total work done to pull the full length of the rope to the top of the building. The work is calculated by integrating the weight over the distance it is moved against gravity. Part (b) is about finding the work done in pulling only the top half of the rope to the top, with the bottom half remaining hanging.
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