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  • Gravitational Force and Distance: Understanding the Inverse Square Law
    The gravitational force between two objects decreases significantly when the distance between them is quadrupled. Here's why:

    Newton's Law of Universal Gravitation:

    * F = G * (m1 * m2) / r²

    Where:

    * F is the gravitational force

    * 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

    The Relationship:

    * The force of gravity is inversely proportional to the square of the distance between the objects.

    * This means that if you double the distance, the force becomes four times weaker.

    * If you quadruple the distance, the force becomes 16 times weaker (4² = 16).

    In Summary:

    Quadrupling the distance between two objects results in a 16-fold decrease in the gravitational force between them.

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