ap physics c
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astronauts on their way to the moon reach a point > at this point, the moon's gravitational pull becomes stronger than the earth's gravitational pullfind the distance between this point and the center of the EARTH

Equate the gravitational pulls from the earth and the moon.
Let
D=distance between the centres of the earth and the moon.
x=distance of the equality point from the centre of the earth.
M=mass of the earth
m=mass of the moon
Then
GM/x² = Gm/(Dx)²
Solve for x in terms of D, M and m.
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