Here's a breakdown:
* Mass: The amount of matter in an object.
* Force of Gravity: The attractive force between any two objects with mass.
Direct Relationship: This means that the two quantities change in the same direction.
* If you increase the mass of an object, the force of gravity it exerts on other objects also increases.
* If you decrease the mass of an object, the force of gravity it exerts also decreases.
Example:
* Imagine a small ball and a large boulder. The boulder has much more mass than the ball.
* The boulder will exert a stronger gravitational pull on other objects (like a nearby small rock) than the ball will.
Formula:
This relationship is expressed mathematically 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
* m1 and m2 are the masses of the two objects
* r is the distance between the centers of the two objects
This formula shows that the force of gravity is directly proportional to the product of the masses (m1 * m2).