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Work energy theorem to find the maximum compression

  1. Jun 22, 2009 #1
    1. The problem statement, all variables and given/known data
    A 6.0 kg box moving at 3.0 m/s on a horizontal, frictionless surface runs into a light spring of force constant 75N/cm. Use the work energy theorem to find the maximum compression of the spring.


    2. Relevant equations
    Wtotal=K2-K1

    k1=1/2mv^2=27 J


    3. The attempt at a solution
    I mus tbe missing something conceptually here, this doesn't appaear to be a difficult problem but I just don't know how to approach it. I don't know the total work, how do I find it?
     
  2. jcsd
  3. Jun 22, 2009 #2
    Can you find the kinetic energy of the box before it hits the spring?
     
  4. Jun 22, 2009 #3

    mgb_phys

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    At the maximum compression the box stops
    So all the initial Ke is now spring energy.
    What's the equation for energy stored in a spring in terms of spring force and extention?
     
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