What happens to the magnitude of the force of gravitation between two objects ifmass of both objects as well as distance between them is doubled?
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If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.
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From the relationship, (i) If the mass of one object (say body 1) is doubled, then Thus, the gravitational force between the two objects gets doubled. ... If the distance between the two objects is tripled, then Thus, the gravitational force between the two objects becomes one-ninth.
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