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Energy and Derivatives

  1. Sep 17, 2008 #1
    1. The problem statement, all variables and given/known data
    Prove:
    Even derivatives conserve energy and that odd derivatives give an energy loss.

    This is for general forces acting on a system of some sort. Like drag force, etc.

    2. Relevant equations



    3. The attempt at a solution
    I have no clue. I need resources. Any clues on where to begin?
     
  2. jcsd
  3. Sep 18, 2008 #2
    Is there any other context given for this problem? It seems a bit vague. What are these derivatives with respect to?
     
  4. Sep 18, 2008 #3
    The derivatives are rates of displacement. Taken with respect to time.
    An example is:
    [tex] \vec{F}=-b \frac{dx}{dt} [/tex] The force of drag on a particle creates an energy loss in the system.
     
  5. Sep 18, 2008 #4
    I can't think of how to prove it formally but it will probably involve looking potential energy and closed loop integrations, are you familiar with those concepts?
     
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