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If the force of gravity acts on all bodi...

If the force of gravity acts on all bodies in proportion to their masses, why does heavy body not all faster than a light body?

Text Solution

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(i) If F be the gravitational force on a body of mass m then
`F = (GMm)/(R^2) = mg" " g = (GM)/(R^2)`
(ii) `F prop m` but g does not depend on m. So all bodies fall with same speed if there is no air resistance.
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Knowledge Check

  • Moment of inertia of a body is proportional to

    A
    `omega`
    B
    `(1)/(omega)`
    C
    `omega^(2)`
    D
    `(1)/(omega^(2))`
  • If the force acting on a body is inversely proportional to its speed, the kinetic energy of the body is:

    A
    constant
    B
    directly proportional to time
    C
    inversely proportional to time
    D
    directly proportional to the square of time
  • The force acting on a body it is a rest

    A
    is gravitational force
    B
    Normal force
    C
    Both gravitational as well as normal force
    D
    No force is acting'
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