A satellite is orbiting close to the surface of the earth, its speed is
Correct answer: B. √Rg
- A. √2gR
- B. √Rg
- C. Rg/2
- D. Rg
Explanation
The force on a mass m, having an angular velocity ω orbiting in a circular path of radius R is F=mRω2. But v=ω R, where v is the linear velocity so F=mv2/R. Equating this with the weight of the body we get, mg=mv2 /R. Or, v2 = Rg. Or, v=√(Rg)
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About Satellite Motion and Orbital Velocity
Satellite motion uses gravitational force as the centripetal force required for circular orbit, giving relationships among orbital radius, period and orbital velocity. Questions cover geostationary conditions and weightlessness, while distinguishing orbital velocity, escape velocity and the satellite's tangential speed.
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