A bucket that weighs 4 lb and a rope of negligible weightare used to draw water from a well that is 80 ft deep. Thebucket is filled with 40 lb of water and is pulled up at a rateof 2 ft /s  , but water leaks out of a hole in the bucket at a rateof 0.2 lb / s . Find the work done in pulling the bucket to thetop of the well.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 42E: The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1...
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A bucket that weighs 4 lb and a rope of negligible weight
are used to draw water from a well that is 80 ft deep. The
bucket is filled with 40 lb of water and is pulled up at a rate
of 2 ft /s  , but water leaks out of a hole in the bucket at a rate
of 0.2 lb / s . Find the work done in pulling the bucket to the
top of the well.

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