Leaking Bucket Problem: Llara pulls a bucket of water up from the bottom of the well

Chapter 11, Problem 1

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Leaking Bucket Problem: Llara pulls a bucket of water up from the bottom of the well (Figure 11-2c). When she starts pulling, she exerts a force of 20 lb. But by the time she gets the bucket to the top, 50 ft up, enough water has leaked out so that she pulls with only 12 lb. Assume that both the rate she pulls the bucket and the rate the water leaks are constant, so the force she exerts decreases linearly with displacement from the bottom. How much work did Llara do in pulling the bucket out of the well? Figure 11-2c

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