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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) gR2/R+ x(b) gR / R- x(c) gx(d) (gR2/R+x)1/2
. (d) Gravitational force provides the necessary centripetal force. ? mv2/(R+x) = GmM / (R+x)2 also g = GM /R2 ? mv2/( R+x ) = m (GM/R2) R2/( R + x )2 ? v2 = gR2/R+x ? v = (gR2 / R+x )1/2
. (d) Gravitational force provides the necessary centripetal force.
? mv2/(R+x) = GmM / (R+x)2 also g = GM /R2
? mv2/( R+x ) = m (GM/R2) R2/( R + x )2
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