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How do you compute an average mass for Jupiter?

  1. Oct 24, 2015 #1
    1. The problem statement, all variables and given/known data

    Io and Europa are two of Jupiter's moons. Io orbits Jupiter at a distance of 421,000 km in a time of 1.769 days. Europa orbits Jupiter at a distance of 671,000 km in a time of 3.551 days. Compute an average mass for Jupiter.
    2. Relevant equations
    a=v^2/r

    F=Fgravity=GMplanetMmoon/r^2
    3. The attempt at a solution
    I found the accelerations of the two moons however I have no idea how to use that to find Jupiters mass
     
  2. jcsd
  3. Oct 24, 2015 #2
    I do not think we have enough information. I could be wrong though.
     
  4. Oct 24, 2015 #3

    Mister T

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    Science Advisor

    For each moon, set its mass times acceleration equal to the force exerted on it.
     
  5. Oct 24, 2015 #4
    The problem is, the masses are not given, and nor is the distance between the moon and Jupiter.
     
  6. Oct 24, 2015 #5

    Mister T

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    Science Advisor

    The distances are given.
     
  7. Oct 24, 2015 #6
    Yes they are. My bad.
     
  8. Oct 24, 2015 #7
    thank you I will try this!
     
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