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## Homework Statement

## Homework Equations

fg=Gm1m2/r^2

## The Attempt at a Solution

Let FgE be the force of gravity of Earth, and FgM be force of gravity of the moon.

We need a net gravitational force of 0 N. So:

FgE-FgM=0

FgE=FgM

Can someone attempt to solve this and see if the answer matches the book answer which is 3.8 x 10^7.

I have tried this with many different methods, and the closest I got was 4.2 x 10^7. So if someone gets the same answer as me or the book, can you please reply.