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work done to pull the rope on the bench

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1. A rope having a total mass of 0.4 kg and total length of 4.0 meters, has 0.6 m of the rope hanging vertically down off a work bench. How much work must done to place all the rope on the bench?

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It shows how to find the work done to pull the rope on the bench. The solution is detailed and was rated '5/5' by the student who posted the questions originally.

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Please see the attached file.

Let x represent the amount of rope already reeled in. Thus, 0.6-x ...

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