A pail filled with water weighs 6 pounds. You lift the pail straight up 5 feet.
ID: 1531525 • Letter: A
Question
A pail filled with water weighs 6 pounds. You lift the pail straight up 5 feet. As you lift it, you spill water at constant rate so that the weight of the pail decreases 1/5 of a pound per foot raised. How much work was done lifiting the pail? Please show all work!! A pail filled with water weighs 6 pounds. You lift the pail straight up 5 feet. As you lift it, you spill water at constant rate so that the weight of the pail decreases 1/5 of a pound per foot raised. How much work was done lifiting the pail? Please show all work!!Explanation / Answer
A pail filled with water weighs = 6 pounds
the weight of the pail decreases 1/5 of a pound per foot raised = 6 - 1/5 y
Work done = integral [ (6 - 1/5 y) * dy ]
= 6y - y2/(2 * 5) [0 to 5]
= (6*5) - 25/10
Work done = 27.5 ft.lb
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