Here's why:
Newton's Law of Universal Gravitation states:
* 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 two objects
* r is the distance between their centers
The key takeaway is that the force of gravity is inversely proportional to the square of the distance.
* If you halve the distance (r/2), you are dividing the denominator by 4.
* This results in the force being multiplied by 4 (F * 4).
In simpler terms: As objects get closer, the gravitational pull between them becomes stronger.
