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Homework Help: Determining spring's max compression on frictionless track

  1. Jun 22, 2010 #1
    1. The problem statement, all variables and given/known data
    A 0.280-kg block along a horizontal track has a speed of 1.30 m/s immediately before colliding with a light spring of force constant 43.6 N/m located at the end of the track. What is the spring's maximum compression if the track is frictionless?


    3. The attempt at a solution
    mgy=1/2mv2
    y=1/2v2 / g
    y=1/2 (1.30 m/s)2 / 9.8 m/s2
    y=0.086m

    mgy=1/2kx2
    x2 = 2mgy / k
    x2 = 2 (.280 kg)(9.8 m/s2)(0.086m) / 43.6N/m
    x=0.11m
     
  2. jcsd
  3. Jun 22, 2010 #2
    Answer looks good, an alternate method is shown in the attachment.
     

    Attached Files:

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