I'm stuck at one of my homework questions.Basically,it says there is a line EM between the Earth's and moon's centre of masses.The moon revolves around the Earth in circular motion.Point X(somewhere in between moon and earth)represents a point where the resultant gravitational force is 0.Mass of moon/Mass of earth=0.012. Given distance EX is 3.4x10^8,determine distance of EM.
Sorry I can't show a diagram.
I can only think of this.
The Attempt at a Solution
It's quite lengthy and after some time I realized it was wrong so I think it would be better if I just read some suggested solutions from you guys.