Question

a satellite of mass M moving in a circular orbit of radius R above the surface of a Planet of mass M and radius R. The amount of work done to shift the satellite to higher orbit of radius 2R is
plz ans it ..I want correct answer ​

Answer 1

Answer:

Centripetal acceleration of the satellite is provided by the gravitational force exerted by earth,

⟹

r

mv

2

=

r

2

GMm

⟹v

2

=

r

GM

Total energy of the system=K.E.+ G.P.E.=

2

1

mv

2

−

r

GMm

=−

2r

GMm

Therefore energy required to jump from orbital radius of 2R to orbital radius of 3R is given by,

E=

2

GMm

(

2R

1

−

3R

1

)

E=

12R

GMm

Explanation:

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