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Homework Help: A Spring in a Conservation of Energy Problem?

  1. Mar 11, 2004 #1
    Not totally lost but for the most part.. i'm pretty lost..

    A Block of mass m = 7.20 kg is released from rest at a heigh of H = 9 m on a curved frictionless ramp. At the foot of the ramp is a spring whose spring constant is k = 306 N/m. What is the maximum compression of the spring, x?

    Alright so using conservation of energy, i got the final velocity to be 13.2816 m/s. The "ramp" becomes flat, and is frictionless, so there is no acceleration, correct?
    This is where i am stuck.
    The only thing i can think of to find the maximum compression of the spring is: F = -Kx

    Is there anything else i can do? Or is there something i am missing?

  2. jcsd
  3. Mar 11, 2004 #2
    You'd have an easier time with a simpler energy argument.

    [tex]E_e = \frac{1}{2}kx^2[/tex]

    Where [itex]E_e[/itex] is the elastic energy due to the compression in the spring.

  4. Mar 11, 2004 #3
    Elastic potential energy?

    Would that just be the potential energy before the block begins to move at the top of the ramp?
  5. Mar 11, 2004 #4
    Wow, I got it. Thanks alot. Very much appreciated.
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