Two satellite A and B of the same mass are revolving around the Earth in circular orbits such that the distance of B from the centre of the Earth is thrice as compared to the distance of A from the centre. What will be the ratio of centripetal force on B to that on A.

Two satellite A and B of the same mass are revolving around the Earth

1.	Two satellite A and B of the same mass are revolving around the Earth in circular orbits such that the distance of B from the centre of the Earth is thrice as compared to the distance of A from the centre. What will be the ratio of centripetal force on B to that on A.
Answer» Solution :Thenecessarycentripetalforceis providesby the gravitationalforceof attraction , for circularorbit Force on A ,`(mv^(2))/R = (GMm)/(r^(2))` Force on B , `(mv^(2))/r = (GMm)/(3r)^(2)` The RATIOOF CENTRIPETALFORCE , `(F_(B))/(F_(A)) = (GMm)/(9R^(2)) xx (r^(2))/(GMm)` `(F_(B))/(F_(A)) = 1/9 `