* Every particle of matter in the universe attracts every other particle with a force that is:
* Proportional to the product of their masses: The more massive the objects, the stronger the gravitational pull between them.
* Inversely proportional to the square of the distance between their centers: The farther apart the objects are, the weaker the gravitational force.
This can be represented mathematically as:
F = G * (m1 * m2) / r^2
where:
* F is the force of gravity
* G is the gravitational constant (approximately 6.674 × 10^-11 m^3 kg^-1 s^-2)
* m1 and m2 are the masses of the two objects
* r is the distance between their centers
Here's a breakdown of the relationship:
* Mass: If you double the mass of one object, the gravitational force doubles. If you double the mass of both objects, the force increases fourfold.
* Distance: If you double the distance between the objects, the gravitational force decreases by a factor of four. This is because the force decreases with the square of the distance.
In simpler terms:
* Heavier objects pull harder.
* Objects closer together pull harder.
Examples:
* The Earth pulls more strongly on a heavier person than on a lighter person.
* The Moon is held in orbit around the Earth by gravity, but the force is weaker because of the large distance.
Important Note: While gravity is a weak force at the atomic scale, it's the dominant force over large distances. It's what holds the planets in orbit around the Sun, keeps galaxies together, and even causes the universe to expand.
