Satellite at 90% of Earth-Moon distance experiences no net gravitational force

[JorgeLuis]

Given that the distance between the Earth and the Moon is d = 3.84 x 10^8 m, show
that a satellite located exactly in-between the Earth and the Moon at a distance of
90% d from the Earth experiences no net force (at least when only the
gravitational force due to the Earth and the Moon at taken into account). Draw a
diagram showing the forces acting on the satellite.

 

[LowlyPion]

Welcome to PF.

And your attempt at the solution would be?

 

[JorgeLuis]

i don't even know what to do it, there was another 2 question about it which i got but i don't get this and the drawing..Help Please!

 

[LowlyPion]

i don't even know what to do it, there was another 2 question about it which i got but i don't get this and the drawing..Help Please!

What's the equation for the force of gravity?

If there is a fixed distance between two bodies, isn't a distance to 1 from a point in between = to the fixed distance - the distance to the other?