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## Homework Statement

There is a point between the earth and the moon where the total gravitational field is zero. Given that the mass of Earth is 6.0*10^24 kg, the mass of the moon is 7.3*10^22 kg and the radius of the Moon's orbit is 3.8*10^8 m, calculate the distance of this point from the center of the earth.

## Homework Equations

If there is always a gravitational field when does the field become negligible? (because it says the gravitational field is zero).

## The Attempt at a Solution

i attempted substituting the equation into one another (g=F/m with g=Gm/r^2) but just got an answer that was way off. Maybe i substituted wrong.