Posted by APpreciative student on .
Hi! I am struggling with this problem any help would be much appreciated
thank you
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

ap physics c 
MathMate,
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.