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Math Help - Amount of work

  1. #1
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    Amount of work

    An anchor weighing 100 lb in water is attached to a chain weighing 3 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 35 ft
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by amiv4 View Post
    An anchor weighing 100 lb in water is attached to a chain weighing 3 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 35 ft
    again, as i said in your last thread, the work here is going to be W = \int_0^{35} F(x)~dx.

    so we need to find F(x).

    Hint:

    there is a constant force of 100lb being hauled.

    there is also a variable force at play, that is, the weight of the chain. as we lift some of the chain, the force decreases, as we have to lift less weight. the chain weighs 3lb/ft, so for every foot we pull, we have 3lb less force to haul.

    let x be the distance we already hauled it
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  3. #3
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    so F(x) = 100 - 3x dx
    ?????
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by amiv4 View Post
    so F(x) = 100 - 3x dx
    ?????
    nope. remember, there is a constant force of 100lb

    now, in addition, there is a 35ft cable, that weighs 3lb/ft. it is the force from this cable that is decreasing.

    also, another tip, it helps to draw a diagram
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  5. #5
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    k how bout 100 - 3x/35
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