or

Show that 'g' produced by a freely falling body is independent of its mass.

Let us consider a body of mass 'm' falling towards the center of any heavenly body of mass 'M' and radius 'R' with the acceleration due to gravity 'g'.

So, force of attraction = (G.M.m)/R2

or,        mg = (G.M.m)/R2
or,
        g    =  (G.M)/R2

Hence, g produced in any body falling freely has no effects by its mass.