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Spring problem

  1. Nov 27, 2007 #1
    1. The problem statement, all variables and given/known data
    A spring is hung from the ceiling. A pan of mass 100.0 g is attached to the end, which causes it to stretch 5.00 cm. Find the maximum distance the pan moves downward when a lump of clay of mass 120.0 g is dropped from a height of 40.0 cm onto the pan.
    2. Relevant equations
    K * distance = force of spring
    integral(kx) = work
    momentum p1 + p2 = p1' + p2'
    potential energy = g * h * m
    3. The attempt at a solution
    .1 * 9.8 = k * .05, k = 19.6N/s
    integral from .05 to x of 19.6x dx = .120 * .4 * 9.8 SO

    9.8 * x^2 - 9.8(.05) = .4704
    x = .313 m
    .313 - .05 = .263 meters maximum movement downward

    the answer is 0.233 m
     
  2. jcsd
  3. Nov 27, 2007 #2
    Correct.
     
  4. Nov 27, 2007 #3
    no, it's off by .03 meters. I'm not sure why.

    my answer is .263 and the real answer is .233
     
  5. Nov 27, 2007 #4
    Fine, wrong.
     
  6. Nov 27, 2007 #5
    lol thanks for the help
     
  7. Nov 27, 2007 #6
    No problem.
     
  8. Nov 27, 2007 #7
    LOL that was the right answer, i just used wrong math
     
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