F = G * (m1 * m2) / r²

Where:

* F is the force of gravity between two objects

* G is the gravitational constant (approximately 6.674 × 10⁻¹¹ N⋅m²/kg²)

* m1 is the mass of the first object

* m2 is the mass of the second object

* r is the distance between the centers of the two objects

Explanation:

* The formula shows that the force of gravity is directly proportional to the product of the masses of the two objects. This means that the more massive the objects, the stronger the gravitational force between them.

* The formula also shows that the force of gravity is inversely proportional to the square of the distance between the objects. This means that the farther apart the objects are, the weaker the gravitational force between them.

Note:

* This formula applies to point masses, meaning that the objects are considered to be infinitely small points in space.

* For real-world objects with finite size, the formula can still be used, but the distance "r" is taken to be the distance between the centers of mass of the objects.

* The force of gravity is always attractive, meaning that it pulls objects towards each other.

Example:

Let's say we have two objects with masses of 1 kg each and they are 1 meter apart. Using the formula above, we can calculate the force of gravity between them:

F = (6.674 × 10⁻¹¹ N⋅m²/kg²) * (1 kg * 1 kg) / (1 m)²

F = 6.674 × 10⁻¹¹ N

This means that the force of gravity between these two objects is approximately 6.674 × 10⁻¹¹ Newtons.