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Find mass of mars given period of moon orbit and radius of orbit

  1. Oct 10, 2009 #1
    1. The problem statement, all variables and given/known data

    Given data: A moon of mars orbits with a period of 459 minutes. The radius of the moon's orbit is 9.4x10^6 m. What is the mass of mars?



    2. Relevant equations



    3. The attempt at a solution

    The only relevant equation I could find was Fmars on moon= (G*m1*m2)/(r2)

    I have the radius, but to solve I would need the mass of the moon and the gravitational force. Could I use F=mv2/r ? Or how about v= [tex]\sqrt{}GM/r[/tex] ?
     
  2. jcsd
  3. Oct 10, 2009 #2
    Alright, I actually figured it out myself.

    v= [tex]\sqrt{}Gm/r[/tex] and v=[tex]\omega[/tex]*r

    so the mass of mars is 6.5*10^23 kg!
     
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