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According to the law of gravitation,the earth attracts each object around it,towards its centre.The force with which the earth attracts a body is called the force due to graity on the body. It always acts vertically downwards at the centre of gravity of the body
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Gravitational force is the force of attraction between any 2 bodies in the universe. It is independent of presence of 3rd body in between the 2 given bodies. It is a central force i.e. it acts along the line joining the centers of 2 bodies. It is independent of the medium between the 2 bodies. It is a long range force. It obeys inverse square law. It is negligible between 2 lighter bodies but become appreciable for massive bodies. 
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