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Math Help - [SOLVED] Another work as a Riemann sum problem

  1. #1
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    [SOLVED] Another work as a Riemann sum problem

    I've attached it. Again in this problem we aren't given a spring constant or a force so I have no idea how I'd set up the problem to find WORK when I don't have the variables needed to find work. I thought maybe it'd be the (incorrect) answer I chose because 3 would just be the force, but obviously as I already partially knew this isn't the case.

    Could someone point me in the right direction?
    Attached Thumbnails Attached Thumbnails [SOLVED] Another work as a Riemann sum problem-picture-2.png  
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  2. #2
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    The work required to lift the chain is:

    3\int_{0}^{500}(500-y)dy

    The work needed to lift the 500 lbs of coal is 500(500)=250,000

    The work needed to lift the chain and the coal is then:

    250,000+3\int_{0}^{500}(500-y)dy

    This is in foot-pounds
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