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 m³ kg⁻¹ s⁻².
* 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.
Key Observations:
* Direct Proportionality: The force of gravity is directly proportional to the product of the masses of the two objects. This means if you double the mass of one object, you double the force of gravity.
* Inverse Square Law: The force of gravity is inversely proportional to the square of the distance between the objects. This means if you double the distance between the objects, the force of gravity becomes four times weaker.
In summary:
* Larger Mass: The greater the mass of an object, the stronger the gravitational force it exerts.
* Closer Objects: The closer two objects are, the stronger the gravitational force between them.
Example:
Imagine you have two objects, one with a mass of 1 kg and another with a mass of 2 kg, separated by a distance of 1 meter. The force of gravity between them would be:
F = (6.674 × 10⁻¹¹ m³ kg⁻¹ s⁻²) * (1 kg * 2 kg) / (1 m)²
F ≈ 1.33 × 10⁻¹⁰ N (Newtons)
Note: This formula calculates the force of gravity between two objects. For a single object, it's more accurate to speak of the gravitational field it creates, which is the force it would exert on a unit mass at a given distance.
