the centre of gravity and centre of mass of bodies coincide
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If the gravitational field remains uniform over a space, i.e., field is independent of spatial position, the centre of mass and centre of gravity of a body in that space coincides. All parts of the body (however small) experiences same gravitational pull.
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Center of Mass is a point where the weighted relative position of the distributed mass is zero. If the acceleration due to gravity has the same value at all points on a body, its center of gravity coincides with its center of mass.
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