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 and inversely proportional to the square of the distance between their centers.
* Mathematical Representation: The formula is: 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 both masses are doubled:
* You're essentially multiplying (m1 * m2) by 2 * 2 = 4.
* Since the force is directly proportional to the product of the masses, doubling both masses results in a four-fold increase in the gravitational force.
