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Hooke's law (confirmation if I did it right)

  1. Feb 27, 2012 #1
    1. The problem statement, all variables and given/known data
    Seven and one half foot pounds of work is required to compress a spring 2 inches from its natural length. Find the work required to compress the spring an additional one-half inch


    2. Relevant equations
    W=kd
    W=∫f(x)dx


    3. The attempt at a solution
    7.5=W
    ∫kxdx from (0,1/6)
    =(kx^(2))/2 from (0,1/6)
    =k/72=7.5
    K=540

    ∫(540x)dx from (4/24, 5/24)

    The rest is just algebra that's irrelevant; did i set up the problem right?
     
  2. jcsd
  3. Feb 27, 2012 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Yes, that is correct.
     
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