A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is .........

A satellite of mass m revolves around the earth of radius R at a heigh

1.	A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is .........
Answer» gx `(GR)/(R-x)` `(gR^2)/(R+x)` `((gR^2)/(R+x))^(1/2)` SOLUTION :`implies` For circular MOTION CENTRIPETAL force = Gravitational force `(mv_0^2)/(R+x) = (GMm)/((R+x)^2)` `:. v_0 = sqrt((GM)/(R+x))= sqrt((rR^2)/(R+x))"" [ :. GM = gR^2]` `:. v_0 = [(gR^2)/(R+x)]^(1/2)`