Question

when an object is at height 'h' from the surface of earth, its potential energy is equal to_____, where earth's radius is R and mass is M​

Answer 1

Explanation:

Total energy of the body T.E=

2r

−GMm

where r is the distance of body from center of earth

∴ r=R+H

⟹ T.E=

2(R+H)

−GMm

...........(1)

Potential energy P.E=

(R+3R)

−GMm

=

4R

−GMm

...........(2)

According to the question,

2(R+H)

−GMm

=

4R

−GMm

or, R+H=2R

or, H=R