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Total energy in a spring?

  1. Nov 6, 2011 #1
    1. The problem statement, all variables and given/known data
    Since the total energy in a spring is
    (1/2)kA^2

    Can we rearrange this...
    given k=F/x
    (1/2)(FA^2/x)

    Since x is also the amplitude, we have:
    (1/2)(FA)
    (1/2)(mgA)

    I am pretty sure this is wrong, but why?

    Thanks
     
  2. jcsd
  3. Nov 6, 2011 #2

    PhanthomJay

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    Science Advisor
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    Gold Member

    yes, where F is the max force in the spring and A is the absolute value of x.
    Only if F = mg, as when a mass is attached from a hanging spring and released.
     
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