Show the nature of the following graph for a satellite orbiting the earth.

(a) KE vs orbital radius R


(b) PE vs orbital radius R


(c) TE vs orbital radius R.


Given


Radius of satellite’s orbit = R


(a) Let the mass of earth be M and the mass of the satellite be m. Then the orbital velocity of the satellite will be



then, the kinetic energy of the satellite will be



(b) the potential energy of the satellite is given by



(c) the total energy of the satellite is given by





Therefore, the curves are as follows


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