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Orbiting particle with given potential. Find the total energy. Need help!

  1. May 24, 2009 #1
    1. The problem statement, all variables and given/known data

    (a) A light particle of mass m orbits in a circular orbit around a massive attractive centre with a potential that is given by

    V(r) = Cr^2

    (b) Using the equations for circular motion show that the total energy of such a particle must be given by

    E = 2Cr^2

    Use the Bohr postulate for the quantization L = mvr = nh(bar) in combination with the answer to part (a) to arrive at an expression for the energy associated with the allowed orbits in terms of the mass of the particle n and other constants.


    I have no idea how to even begin this!

    ANY help would be deeply appreciated!

    thanks!
     
  2. jcsd
  3. May 25, 2009 #2

    tiny-tim

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    Welcome to PF!

    Hi PanosP ! Welcome to PF! :smile:

    (try using the X2 tag just above the Reply box :wink:)
    Find the force from V(r), then use good ol' https://www.physicsforums.com/library.php?do=view_item&itemid=26" :smile:
     
    Last edited by a moderator: Apr 24, 2017
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