The gravitational force will quadruple.
Explanation:
Newton's Law of Universal Gravitation states:
* F = G * (m1 * m2) / r²
Where:
* F is the gravitational force
* G is the gravitational constant (a constant value)
* m1 and m2 are the masses of the two objects
* r is the distance between the centers of the two objects
If you double both m1 and m2:
* The numerator of the equation becomes (2m1 * 2m2) = 4 * (m1 * m2)
* Since the force is directly proportional to the product of the masses, the force will be four times stronger.
In summary: Doubling the mass of both objects increases the gravitational force between them by a factor of four.
