When the mass of one object is doubled, the gravitational force between that object and another object doubles as well.

Here's why:

* Newton's Law of Universal Gravitation: This law states that the force of gravity between two objects is directly proportional to the product of their masses.

* Mathematical Representation: F = G * (m1 * m2) / r², where:

* F is the gravitational force

* G is the gravitational constant

* m1 and m2 are the masses of the two objects

* r is the distance between their centers.

If you double the mass of one object (let's say m1), the force (F) also doubles, assuming the other mass (m2) and the distance (r) remain the same.