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Mass dropped onto vertical spring what is the max compression?

  1. Mar 1, 2013 #1
    1. The problem statement, all variables and given/known data
    A mass m = 0.5 kg is dropped from a height of 1.5m above the end of an uncompressed vertical spring with k = 500 N/m. What is the maximum compression of the spring?


    2. Relevant equations
    f_sp = -kx
    W_sp = 1/2 kx^2
    W_nc = ΔK + ΔU
    K = 1/2 mv^2
    U = mgh
    W = Fdcos∅
    p = mv


    3. The attempt at a solution
    My friend and me were in different groups and they did the problem differently and came to a different answer. We set up ours as mg(h_0 + Δx) = 1/2hΔx^2 and came to a answer of .18 and rounded to .20 for Δx. My friend got much higher number so I was wondering what the answer really was and how to do it correctly if we are wrong.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 1, 2013 #2
    What are 'h' and 'h_0' in you formula?
     
  4. Mar 1, 2013 #3

    ehild

    User Avatar
    Homework Helper
    Gold Member

    You meant 1/2 kdx^2....


    Your solution is correct.

    ehild
     
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