What happens to the force between two objects, if the distance between the objects is doubled and tripled? According to the universal law of gravitation, the force of gravitation between two objects is given by:- `F=(Gm_1m_2)/r^2` F is inversely proportional to the square of the distances between the objects. If the distance is doubled, then the gravitational force becomes one-fourth of its original value. Similarly, if the distance is tripled, then the gravitational force becomes one-ninth of its original value. Concept: Newton’s Universal Law of Gravitation Is there an error in this question or solution? Page 2What happens to the force between two objects, if the masses of both objects are doubled? According to the universal law of gravitation, the force of gravitation between two objects is given by:- `F=(Gm_1m_2)/r^2` F is directly proportional to the product of masses of the objects. If the masses of both the objects are doubled, then the gravitational force becomes four times the original value. Concept: Newton’s Universal Law of Gravitation Is there an error in this question or solution? Text Solution Solution : As gravitational force between two object, `F prop (m_(1)m_(2))/r^(2)` thereforce, <br> (i) when mass of one object is doubled, the force become twice. (ii) when distance between the objects is doubled, force become `(1//4)` of its previous value. When distance between the objects is tripled, the force become `(1//9)` of its previous value . (iii) when masses of both object are doubled, force becomes 4 times.
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