Newton's Law of Universal Gravitation
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.
* Directly proportional: If you increase the mass of either object, the gravitational force increases.
* Inversely proportional: If you increase the distance between the objects, the gravitational force decreases.
The Formula
The formula that describes this relationship is:
```
F = G * (m1 * m2) / r^2
```
Where:
* F is the force of gravity (measured in Newtons)
* G is the gravitational constant (approximately 6.674 × 10^-11 N⋅m²/kg²)
* m1 is the mass of the first object (measured in kilograms)
* m2 is the mass of the second object (measured in kilograms)
* r is the distance between the centers of the two objects (measured in meters)
Example
Let's say you have two objects:
* Object 1: Mass = 100 kg
* Object 2: Mass = 50 kg
* Distance between their centers: 10 meters
To find the force of gravity between them:
1. Plug the values into the formula:
F = (6.674 × 10^-11 N⋅m²/kg²) * (100 kg * 50 kg) / (10 m)^2
2. Calculate:
F ≈ 3.337 × 10^-8 Newtons
Key Points
* The force of gravity is always attractive, meaning it pulls objects towards each other.
* Even objects with small masses exert a gravitational force on each other, but it's usually too small to notice.
* The gravitational force is what keeps us on Earth and what causes the planets to orbit the sun.
Let me know if you have any specific scenarios you'd like to explore!
