How to get the distance from earth when the net gravitational force of the spaceship is zero?

sorry for the pressure. but can someone answer this problem? actually i don't know what solution to use.



this is the situation: a spaceship is on a straight line path between the earth and its moon. at what distance from earth is the net gravitational force of the spaceship is zero?



it will really help a lot. thanks for your concern.How to get the distance from earth when the net gravitational force of the spaceship is zero?
Since the 1st answer's equation can't be read, I'll go through it also.

Me = Earth mass, Mm = moon mass, xt = distance between Earth and moon, x = zero-g distance from Earth

GMe/x^2 = GMm/(xt-x)^2

x = xt/sqrt(Mm/Me)+1)

Mm/Me = 0.0123 (ref.)

xt = 3.844E8 m (ref.)

x = 3.460E8 m (answer)How to get the distance from earth when the net gravitational force of the spaceship is zero?
Thank-you.

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gravitaional force form the earth or the moon is = GxM/r^2



5.98x10^24/(X)^2=7.35x10^22/(3.84x10^8鈥?br>


ans=3.457x10^8m