is there a point between the earth and the moon for which the net gravitational force on an object is zero? Where is this point located? Note that the mass of the earth is 5.98x10^24 kg, the mass of the moon is 7.35x10^22kg, and the distance between the centres of earth and moon is 3.84x10^8m.
so GMeMp/x^2 = GMmMp/(r-x)^2
p being the point, x being the radius of earth
The Attempt at a Solution
i tried to rearrange...to find r. and got MeMm=x^2*(r-x)^2 ???
so that means 5.98*10^24(7.35*10^22)= x^2(3.84*10^8-x)^2 ?!?!
Can someone tell me how to rearrange it, cause it's supposed to be rearraned to Mm/Me(x^2)=R^2-2r+x^2 ... Thanks!