How do you compute an average mass for Jupiter?

[Haley Feider]

Homework Statement

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.

Homework Equations

a=v^2/r

F=Fgravity=GMplanetMmoon/r^2

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

 

[Isaac0427]

I do not think we have enough information. I could be wrong though.

 

[Herman Trivilino]

For each moon, set its mass times acceleration equal to the force exerted on it.

 

[Isaac0427]

For each moon, set its mass times acceleration equal to the force exerted on it.

The problem is, the masses are not given, and nor is the distance between the moon and Jupiter.

 

[Herman Trivilino]

The distances are given.

 

[Isaac0427]

The distances are given.

Yes they are. My bad.

 

[Haley Feider]

thank you I will try this!