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## Homework Statement

An object of mass 7.1x1023 circles the Earth and is attracted to it with a force whose magnitude is given be Gmem/r2. If the period of rotation is 32 days, what is the distance from the Earth to the object? Here G=6.67x10-11 Nm2/kg2, me=6x1024 kg.

## Homework Equations

F

_{g}=G*m*M

_{e}/r

^{2}

T=2pi/Omega

## The Attempt at a Solution

I used the first equation to isolate r, the distance from the Earth to the object to get sqrt((G(m*M

_{e})/F

_{g})=r

But this is where I get stuck, i don't see how to find the other unknown, F

_{g}I'm guessing it has to do something with the period of 23 days, but I cannot connect the two in my head.