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  • Understanding Gravitational Force: Mass and Distance Explained
    Here's how mass and distance affect gravitational force:

    1. Mass:

    * Direct Proportionality: Gravitational force 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 gravitational force.

    * If you double the mass of both objects, you quadruple the gravitational force.

    2. Distance:

    * Inverse Square Law: Gravitational force is inversely proportional to the square of the distance between the centers of the two objects. This means:

    * If you double the distance between the objects, the gravitational force becomes four times weaker.

    * If you triple the distance, the gravitational force becomes nine times weaker.

    In Summary:

    * Greater mass = Stronger gravitational force.

    * Greater distance = Weaker gravitational force.

    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 N⋅m²/kg²)

    * m1 and m2 are the masses of the two objects

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

    Examples:

    * The Earth and the Moon: The Moon has less mass than the Earth, but it's still affected by Earth's gravity because it's relatively close.

    * The Sun and the Earth: The Sun has a much larger mass than the Earth, and its gravitational force keeps the Earth in orbit.

    * Two Apples: Even two apples sitting on a table experience a tiny gravitational force between them, but it's so weak it's practically impossible to detect.

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