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Math Help - [SOLVED] A leaky bucket...

  1. #1
    Member >_<SHY_GUY>_<'s Avatar
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    [SOLVED] A leaky bucket...

    If a leaking bucket weights 2lbs and the water weights 8 lbs; if you lift the bucket 4 ft and all the water leaks out when it reaches 4 ft. How much work is done by the person lifting the bucket?

    i dont know how to set the integral correctly, all i know isthe limits are from 0-4, but when i tried to work out the problem, i got 16/5, and i feel as if i did something wrong.
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    Quote Originally Posted by >_<SHY_GUY>_< View Post
    If a leaking bucket weights 2lbs and the water weights 8 lbs; if you lift the bucket 4 ft and all the water leaks out when it reaches 4 ft. How much work is done by the person lifting the bucket?

    i dont know how to set the integral correctly, all i know isthe limits are from 0-4, but when i tried to work out the problem, i got 16/5, and i feel as if i did something wrong.
    variable force as a function of height, x ...

    F = 10 - 2x

    W = \int_0^4 10-2x \, dx
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    Member >_<SHY_GUY>_<'s Avatar
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    Quote Originally Posted by skeeter View Post
    variable force as a function of height, x ...

    F = 10 - 2x

    W = \int_0^4 10-2x \, dx

    im sorry but could you explain how you got F? i did the problem alot differently, i thought it was 4-x
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  4. #4
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    Quote Originally Posted by >_<SHY_GUY>_< View Post
    im sorry but could you explain how you got F? i did the problem alot differently, i thought it was 4-x
    at the start, the bucket weighs 10 lbs (2 lb bucket + 8 lb water)

    for every foot the bucket is lifted, it loses 2 lbs of water.

    F = 10 - 2x

    note that at x = 4 ft, F = 2 lbs ... the weight of the empty bucket.
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    Member >_<SHY_GUY>_<'s Avatar
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    Quote Originally Posted by skeeter View Post
    at the start, the bucket weighs 10 lbs (2 lb bucket + 8 lb water)

    for every foot the bucket is lifted, it loses 2 lbs of water.

    F = 10 - 2x

    note that at x = 4 ft, F = 2 lbs ... the weight of the empty bucket.
    thank you so much youve been such a great help to me
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