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  • Newton's Law of Universal Gravitation: Force, Mass, and Distance
    The gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This is summarized in Newton's Law of Universal Gravitation:

    F = G * (m1 * m2) / r²

    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

    Let's break down how mass and distance affect gravitational force:

    * Mass: The more massive the objects, the stronger the gravitational force between them. This means if you double the mass of one object, the force of gravity will double.

    * Distance: The farther apart the objects are, the weaker the gravitational force between them. This means if you double the distance between two objects, the force of gravity will be reduced to one-fourth its original strength.

    In simpler terms:

    * Bigger objects pull harder: Heavier objects exert a stronger gravitational force.

    * Closer objects pull harder: Objects that are closer together experience a stronger gravitational pull.

    Important points to remember:

    * Gravity is always attractive; it pulls objects together.

    * Gravity acts over long distances, but its effect weakens rapidly as the distance increases.

    * Even though gravity is a weak force, it is the force responsible for holding the Earth in orbit around the Sun, and for keeping us on the ground.

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