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Homework Help: Work Integration problem

  1. Feb 26, 2010 #1
    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?
  2. jcsd
  3. Feb 26, 2010 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Don't forget the weight of the bucket. :wink:
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