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. This means if you increase one mass, the force of gravity increases proportionally.
* Mathematical Representation: The formula for gravitational force is:
F = G * (m1 * m2) / r^2
Where:
* F is the force of gravity
* G is the gravitational constant
* m1 and m2 are the masses of the two objects
* r is the distance between their centers
* Doubling the Mass: If you double the mass of one object (say, m1), the new force (F') will be:
F' = G * (2 * m1 * m2) / r^2 = 2 * (G * m1 * m2 / r^2) = 2 * F
Therefore, the gravitational force doubles.
