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Determine the distance that the spring is compressed

  1. Mar 19, 2007 #1
    A 2 kilogram block is dropped from a height of .45 meter above an uncompressed spring. The spring has an elastic constant of 200 newtons per meter and negligible mass. The block strikes the end of the spring and sticks to it.

    A) Determine the distance that the spring is compressed
    B) Determine the maximum compression of the spring
    C) Determine the amplitude of the SHM

    Mass = 2kg
    Height = .45m
    k = 200N/m

    for A...I think I have to use conservation of energy, but I don't know what to put for the maxmium speed of the block.
     
  2. jcsd
  3. Mar 19, 2007 #2
    When the spring is compressed completely, how fast is the block moving?
     
  4. Mar 19, 2007 #3
    the speed would be 0, right? at max. compression
     
  5. Mar 19, 2007 #4
    yes, that is right
     
  6. Mar 19, 2007 #5
    so..........do i use

    Ui + Ki = Uf + Kf
    .5mv^2=.5kx^2
    mv^2=kx^2......

    ? if i do, what's the velocity?
     
  7. Mar 19, 2007 #6
    What other types of potential energy do you know of?
     
  8. Mar 19, 2007 #7
    That would be true for a horizontal situation, but you have to take gravity into account for this problem. Dont be intimidated by the quadratic
     
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