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Physics
Grade-10
Easy
Question
If r represents the radius of the orbit of a planet of mass m moving around the Sun of mass M, the orbital velocity of the planet is given by:
Hint:
When a planet revolves around the sun, the centripetal force is provided by the gravitational force exerted on the planet by the Sun.
The correct answer is:
Mass of the Sun = M, Mass of the planet = m, The centripetal acceleration of the planet = ac Fg = Fc = mac GMm/r2 = mv2/r Hence the orbital velocity v for the planet is given by V = √GM/r Where G = Universal Gravitational Constant V2 = GM/r