Question

Suppose that at the bucket in the previous problem has a hole in the bottom that...

Suppose that at the bucket in the previous problem has a hole in the bottom that allows one pound of sand per second to leak out of the bottom of the bucket. The sand leaks continusously in a steady stream. If the chain & bucket are pulled up at a rate of ½ foot per second, how much work is required to pull the chain and bucket to the top of the building?

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Suppose that a bucket containing 60 lbs of sand is tied to the end of the chain in the previous problem. How much work is required to lift the bucket and chain to the top of the building?

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