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.
* The Formula:
F = G * (m1 * m2) / r²
Where:
* F is the force of gravity
* G is the gravitational constant
* m1 and m2 are the masses of the objects
* r is the distance between their centers
* Tripling the Distance: If you triple the distance (r), the denominator of the equation becomes 9 times larger (3² = 9). Since the force is inversely proportional to the square of the distance, the force of gravity becomes 1/9th of its original value.
