Question

2. A body of mass 'm' is at a height ‘h' from the ground level. If the acceleration due to gravity is 'g' its potential energy is :
​

Answer 1

Answer:

If a point mass m is placed at a height h from surface of earth, the potential energy is

U

h

​

=−

(R+h)

GMm

​

=

R(1+

R

h

​

)

−gR

2

m

​

=

R

−gR

2

m

​

(1+

R

h

​

)

−1

(∵g=

R

2

GM

​

)

U

h

​

=

R

2

−gR

2

m(R−h)

​

=−gm(R−h)

⇒V=

m

U

h

​

​

=

m

−gm(R−h)

​

=−g(R−h)

Explanation: