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Central force

  1. Jun 8, 2010 #1
    1. The problem statement, all variables and given/known data
    a body of mass 1kg moves under the influence of a central force with potential energy question V(r)= -exp(-3r/2)/5r2
    .it is found to move under a circular orbit of radius 2 m

    2. Relevant equations
    find the total energy and the angular momentum


    3. The attempt at a solution
     
  2. jcsd
  3. Jun 8, 2010 #2

    phyzguy

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    You need to at least attempt to solve the problem if you expect help.
     
  4. Jun 8, 2010 #3
    see, since i have the potential energy fn, i can calculate the force by calculating the negative of grad of V.
    This force will be balanced by the centripital corce i.e mv^2 /r. from here i can cal the velocity, v.
    thus the angular mom is simply mvr and total energy is P.E+K.E
     
  5. Jun 8, 2010 #4

    phyzguy

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    Sounds good. So what is your question?
     
  6. Jun 9, 2010 #5
    firstly the mathematical calculation is very tedious. So is there sm another meathod
     
  7. Jun 9, 2010 #6

    phyzguy

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    I don't know of a better way. It doesn't look that bad. If you have access to software like Mathematica, it will be a snap, but even without that it should be less than one page.
     
  8. Jun 10, 2010 #7
    Your method seems correct and it's not tedious at all. You should be able to do it with pencil and paper just fine.
     
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