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Precursor
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Homework Statement
A leaky 12 lb bucket is lifted from the bottom of a 10 ft well to the top at
a constant speed with a rope that weighs 0.6 lb/ft. Initially the bucket contains 60 lb
of water but the water leaks at a constant rate and finishes draining just as the bucket
reaches the top of the well. How much work is done?
Homework Equations
[tex]w = \int_{a}^{b} [F(x)]dx[/tex]
The Attempt at a Solution
[tex]w = \int_{a}^{b} [F(x)]dx[/tex]
[tex]w = \int_{0}^{10} [0.6(10 - x) + 6(10 - x)]dx[/tex]
[tex]w = 330[/tex] lb-ft
Is this correct?