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The centre of mass of an extended body o...

The centre of mass of an extended body on the surface of the earth and its centre of gravity

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the centre of gravity of a body on the earth coincides with its centre of mass for a small object whereas for an extended object it may not ,what is the qualitaitve meaning of small and extended in this regard ? for which of the following two coincides ? A building , a pond , a lake ,a mountain ?