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Total work done on clay during Spring Compression

  1. Feb 19, 2012 #1
    1. The problem statement, all variables and given/known data

    A 4.63-kg ball of clay is thrown downward from a height of 2.69 m with a speed of 5.01 m/s onto a spring with k = 1610 N/m. The clay compresses the spring a certain maximum amount before momentarily stopping.

    b) Find the total work done on the clay during the spring's compression.

    2. Relevant equations

    Us=integral(-kx dx)

    3. The attempt at a solution

    From part of the question I found the maximum compression of the spring to be 0.50230 m, and I know that is correct.

    I thought that the total amount of work done on something by the spring's compression was equal to the integral that is in the relevant equations section.

    Therefore, that is what I did. I Us=integral(-kx dx) from 0 to 0.50230. The resulting answer was -203.106 J. But that is not correct, does anyone have some insight to what went wrong?
     
  2. jcsd
  3. Feb 19, 2012 #2
    Nevermind, i figured it out.

    W = Ks + Ub

    W=(-1/2)(1610)(0.502302) + (4.63)(9.81)(0.50230)

    W= -180.3 J
     
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