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Change in potential and kinetic energy

  1. Apr 23, 2009 #1
    1. The problem statement, all variables and given/known data
    how is the change in potential energy related to the change in kinetic energy?

    2. Relevant equations
    i just know that for a tossed object, the KE decreases, and its PE increases until it reaches the top. Then it has potential energy at the top, and its KE increases, while its PE decreases. im not sure how to relate the change in PE and KE though.

    3. The attempt at a solution
  2. jcsd
  3. Apr 23, 2009 #2


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    Staff Emeritus
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    It very much depends whether there are any non-conservative forces acting on the system. If there are no dissipative forces acting on the system then the sum of the kinetic and potential energies is constant.
  4. Apr 23, 2009 #3


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    Homework Helper

    Tha rate of change of potential eenrgy = dp/dt = mg*dh/dt = mgv
    Rate of change of kinetic energy = dE/dt = 1/2*m*2v*dv/dt = mgv.
    So they are equal.
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