Weight of a body is less in the mines. Why?
The weight of a body is less in the mines because when we move deeper the earth gravity decreases but our mass is always constant.
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.