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Elastic Energy Equation

  1. Jan 16, 2012 #1
    1. The problem statement, all variables and given/known data
    Derive an equation for elastic energy, in terms of k and x. Show all steps.

    2. Relevant equations
    F=1/2kx^2


    3. The attempt at a solution
    I believe Force=1/2kx^2 is the answer but how would I show steps to get an elastic energy equation? Basically, going from F=kx, what steps do I need to take to go from that equation to the elastic energy equation.
     
    Last edited: Jan 16, 2012
  2. jcsd
  3. Jan 16, 2012 #2

    Delphi51

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    Homework Helper

    You need to find the work done by the F = kx force as it compresses the spring (or as the spring pushes with that force on some other object). x will vary from 0 (meaning no compression or extension) to some final value X. It would be easy if F didn't vary with x. Since it does vary with x, you will have to use calculus or some kind of workaround. Perhaps you can find a definition of work involving the area under a force graph.
     
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