Question

what will happen to the gravitational force between two bodies if the mass of one body is doubled​

Answer 1

Answer:

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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Answer 2

The gravitational force between two bodies will double if the mass of one body is doubled​.

• The gravitational force between any two bodies is directly proportional to the product of the masses of the two bodies.

         $G \alpha (m_{1} * m_{2})$

• Here, G is the gravitational force between the two masses m₁ and m₂.

• Due to this, when the mass of one of the bodies doubles, the gravitational force between them also doubles.

         $2 * G \alpha (2*m_{1}*m_{2})$

         $2G \alpha 2m_{1}m_{2}$

• As evident from the proportionality, the gravitational force is doubled.