Find the minimum velocity that must be given to a body of mass m on the surface of earth so that it reaches moon?

Dear student,

We need to give energy to the body sufficient only to make it reach at a point between Earth and Moon where the net force is zero. After that point, the body will be attracted to moon by itself.

Let the point be at a distancefrom center of earth.


We can find the value ofand use it in the conservation of energy equation-