Question

show that gravitational potential energy on the earth surface is V=- GM/ R, where V=0 at r=oo
help me and no irrelevant answer​

Answer 1

Let consider a source of mass 'm' is placed at a point along x- axis

A small amount of work is done in bringing that object without acceleration through a very small distance 'dx'

so

dw = F . dx where f = GMm/x^2

here 'f' is attractive force

dw = GMm/x^2 .dx

Integrating on both side

for this pls follow pic

w = - GMm/r

work done us stored in the form of energy which is gravitational potential energy

U = - GMm/r

I hope this answer will help you

pls like vote and follow me