(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

[tex]w = \int_{a}^{b} [F(x)]dx[/tex]

3. 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?

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# Homework Help: Work Integration problem

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