Question

Two objects are kept at some distance. if the mass of each of the two objects is doubled then the value of gravitational force between them will be.

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Answer 1

Answer:

4 times

If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will be. i.e, gravitational force become 4 times.

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Answer 2

Answer:

If the mass of each of the two objects is doubled then the value of gravitational force between them will be four times the previous force.

Explanation:

The gravitational force between two objects is found using the equation:

                   F = G Mm / d²

Where F is the force of gravitation, M and m are the masses of the objects and d is the distance between them.

If the masses are doubled, then,

M = 2M and m = 2m in the above equation.

So the new force of attraction will be,

F' = G × 2M × 2m / d²

F' = 4 × GMm / d²

F' = 4 × F

So we can say that, when the masses of the objects are doubled, then the force of attraction between them will be increased by four times.