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How does the force of gravitation between two objects change when the distance between them is reduced to half ?
According to the Universal law of gravitation, the force of attraction between two bodies is given by:
and are the masses of the two bodies, G is the gravitational constant and r is the distance between the two bodies.
Given that the distance is reduced to half then,
The new force when the distance becomes half is given by
From equation (1)
Therefore, when the distance between the objects is reduced to half, then the force of gravitation will increase by fourfold the first force.
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