1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook