Question

work done on a satelliteof mass'm' at a height 'h' by the gravitational force of attraction of the earth is​

Answer 1

At a height h, acceleration due to gravity be g

′

As, g

′

=g(1+

R

h

)

−2

Now, for h=R,⟹g

′

=

4

g

potential energy, P.E=−

(R+h)

GMm

, and g

′

=

(R+h)

2

GM

⟹P.E=−mg

′

(R+h)

For h=R,P.E=−m×

4

g

×2R

Thus, P.E=−

2

mgR