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## Homework Statement

The planet Jupiter has a moon Europa (m = 5x10^22kg) that is orbiting at a velocity of 14,000m/s at a distance of 7x10^8m measured from the center of Jupiter to the center of the moon. What is the mass of Jupiter?

## Homework Equations

According to the lecture notes for class, we have the law of universal gravitation [itex]F=\frac{Gm1m2}{r^2}[/itex] and then the formula for "Velocity of a satellite in orbit" [itex]V=\sqrt{\frac{GM}{r}}[/itex]. There's more things like field theory, etc but may not be relevant.

## The Attempt at a Solution

I can't seem to get a good result, google says the mass of Jupiter is 1.898x10^27kg although when I plug the numbers into the velocity formula and solve for M, i keep getting a mere 205604.

This exact same question is posted on yahoo answers, but the first guy's solution is something beyond my course, and everyone else just doesn't seem to be right.

I'm stuck, not sure what formula/equation I need to use and what throws me is that with all the given information I'm not sure if it's all needed or if it's there for distraction.

I would really like just a quick hint to get me in the right direction instead of an entire work through :)