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Homework Help: Shm question

  1. May 31, 2010 #1
    i have the following question and i have no idea how to answer it can any please help out...

    consider a Mass M which is dropped a height z onto a spring of stiffness k N/m. when the mass hits the spring, the spring will deflect a distance x before the mass stops moving down. show that the distance x is a function of the mass M, acceleration due to gravity g and of stiffness of the spring k.

    please help
     
  2. jcsd
  3. May 31, 2010 #2

    Doc Al

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    Staff: Mentor

    Hint: Is anything conserved?
     
  4. May 31, 2010 #3
    energy both pe and ke
     
  5. May 31, 2010 #4

    Doc Al

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    Staff: Mentor

    The total mechanical energy is conserved. Use that to set up an energy equation to solve for X.
     
  6. Jun 1, 2010 #5
    i do not need to solve the equation. i need to find the derivative of the equation. i need to conclude that x is a function of the mass M, acceleration due to gravity g and of stiffness of the spring k.
     
  7. Jun 1, 2010 #6

    Doc Al

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    Staff: Mentor

    Set up the energy balance equation--which will involve x, z, M, g, and k--then you can rearrange to get x as a function of the other parameters. (That's what I mean by 'solving for x'.)
     
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