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## Homework Statement

There is a point on the line between the centres of the earth and the moon where their gravitational fields have equal magnitude but are in opposite directions, effectively creating a point of zero gravity. Calculate the distance of this point from the centre of the earth.

gearth = 9.81 ms[itex]^{}-2[/itex]

mearth = 6.02 x10[itex]^{}24[/itex] kg

## Homework Equations

F = GMm/d[itex]^{}2[/itex]

g = -GM/d[itex]^{}2[/itex]

## The Attempt at a Solution

Using ratio of the inverse square laws Rm[itex]^{}2[/itex]/Re[itex]^{}2[/itex] = Mm/Me

Using F = 0 and gearth = gmoon