A bucket that weighs 4 lb amd a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket starts with 40 lb of water and is pulled up at a rate of 2 ft/s , but the water leaks out of a hole in the bucket at a rate of 0.2lb/s. Find the work done in pulling the bucket to the top of the well.

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