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:

  1.  
  2.   

hintHint:

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
    F= 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

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