# How gravitational potential energy depends upon the difference in heights of initial and final position?

2
by Deleted account

2015-02-10T12:35:50+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Gravitational potential energy is zero at infinity and decreases as the distance decreases.

This is because gravitational force exerted on the body by the earth is attractive.

Hence gravitational potential energy(U) is negative.

U = -

2015-02-10T15:23:29+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let M = Mass of planet
m = mass of body
r = distance of body from the center of the planet

The word Potential energy defined only for conservative force field.

So the change in Potential energy (dU) of a system corresponding to a conservative internal force is given by

dU =  F.dr x cos(180)       {since the displacement is  anti-                                                                            parallel to the gravitational pull}

⇒

⇒

⇒ ΔU =

⇒ ΔU =

⇒   ΔU =

which proves that gravitational potential depends on the difference of the initial and final heights of the body.
hope thihs helps
plz mark as best
i didnt get it
standard ?