Mass:
* Direct Proportion: The more massive the objects are, the stronger the gravitational attraction between them. If you double the mass of one object, the gravitational force doubles. If you double the mass of both objects, the gravitational force quadruples.
Distance:
* Inverse Square Proportion: The farther apart the objects are, the weaker the gravitational attraction. If you double the distance between two objects, the gravitational force between them decreases to one-fourth its original strength. This is an inverse square relationship because the force is inversely proportional to the square of the distance.
Formula:
The relationship between mass, distance, and gravitational force is described by Newton's Law of Universal Gravitation:
```
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 the centers of the two objects
In Summary:
* More mass = stronger gravity: Bigger objects exert a stronger pull.
* Greater distance = weaker gravity: Objects farther apart experience a weaker gravitational force.
Examples:
* The Earth has a larger mass than the Moon, so the Earth's gravity is stronger, holding the Moon in orbit.
* The gravitational attraction between two people standing close together is very weak because their masses are relatively small.
* The Sun has a massive amount of mass, which is why its gravitational pull keeps all the planets in our solar system in orbit around it.
