Answer to Question #40068 in Mechanics | Relativity for Aphiwe

Question

At a point along the line joining the centres of the earth and moon, the gravitational forces they exert on a third body are equal in magnitude but in opposite directions. Determine the distance of this point from the centre of the moon, in terms of 'x', You may take the mass of the earth to be 81 times the mass of the moon, and the distance between the centres of the earth and moon to be 'x'.