Solved: A uniform 3.00 kg rope 24.0 m long lies on the

Chapter 9, Problem 52E

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QUESTION:

Problem 52E

A uniform 3.00 kg rope 24.0 m long lies on the ground at the top of a vertical cliff. A mountain climber at the top lets down half of it to help his partner climb up the cliff. What was the change in potential energy of the rope during this maneuver?

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QUESTION:

Problem 52E

A uniform 3.00 kg rope 24.0 m long lies on the ground at the top of a vertical cliff. A mountain climber at the top lets down half of it to help his partner climb up the cliff. What was the change in potential energy of the rope during this maneuver?

ANSWER:

Solution 52E

Step 1 of 2:

Generally ,

Half the rope has mass 1.50 kg and length 12.0 m. Let  y =0 at the top of the cliff and take +y to be upward. The center of mass of the hanging section of rope is at its center and

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