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Object at rope: work to lift it

  1. Feb 17, 2008 #1
    An old oaken bucket of mass 6.75 kg hangs in a well at the end of a rope. The rope passes over a frictionless pulley at the top of the well, and you pull horizontally on the end of the rope to raise the bucket slowly a distance of 4.00 m.

    So far, I have:
    F = force exerted by me
    s = displacement
    W_F=F x s

    How do I find F? Does it have anything to do with the tension of the rope?
     
  2. jcsd
  3. Feb 17, 2008 #2

    Kurdt

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    Work done is also the change in potential energy.
     
  4. Feb 17, 2008 #3
    I'm sorry, I meant to ask for the work done by me.
    So,
    H= height
    H_1 = 0
    H_2 = 4m
    Work_total = change of potential energy = mg(H_2 - H_1) = 264.6
    and W_total = W_me + mgH_1 = 264.6J
    W_me = 264.6 J
    Did I do something wrong, because it doesn't seem right.
     
  5. Feb 17, 2008 #4

    Kurdt

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    Looks Ok to me. What are you having trouble with?
     
  6. Feb 17, 2008 #5
    The answer in the book is 3.6 J.
     
  7. Feb 17, 2008 #6

    Kurdt

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    What was the question in full? Are you sure that's the answer to this question?
     
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