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Math Help - Work and Force on a rubber band.

  1. #1
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    Work and Force on a rubber band.

    I've a test coming up in two days and have realized that i dont have many notes on this. i really only need help in setting up the question, but it would also be very helpful if you could work it through to the answer.

    1. A force of 2N will stretch a rubber band 2cm:

    A: Assuming that Hooke's law applies, how far will a 4N force stretch the rubber band?

    B: How much work does it take to stretch the rubber band this far?

    Thanks for any help in advance!
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  2. #2
    Senior Member Tinyboss's Avatar
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    Hooke says F=kx, so the first thing to do is solve for the spring constant: k=1 N/cm. Part (A) should be clear now.

    For (B), integrate kx from x=0 to 4. Since k=1, this shouldn't be too difficult.
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  3. #3
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    Note that the force is proportional to the displacement, but oppositely directed, so the equation is actually F = -kx. So the work will actually be negative, since the stretching occurs against the restoring force.
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