If a body of mass m is moved from the earth surface at height ‘h’ above the earth work done against gravity. When (h<<<R) here R is radius of earth.
-mgR
-mgh
mgR
mgh
As we learn
Work done against gravity when 'h' is very small -
W= work done
height
- wherein
is small as compared to earth
Work done against gravity
if h<<<<Re
hence w = mgh