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  • Gravitational Force and Distance: Calculating the New Force
    Here's how to solve this problem:

    Understanding the Relationship

    Newton's Law of Universal Gravitation states that the force of gravity between two objects is:

    * Directly proportional to the product of their masses.

    * Inversely proportional to the square of the distance between their centers.

    The Calculation

    1. The Inverse Square Relationship: If the distance between the masses is tripled, the force of gravity will decrease by a factor of 3² (3 squared), which is 9.

    2. New Force: Therefore, the new gravitational force will be: 36 N / 9 = 4 N

    Answer: If the distance between the two masses is tripled, the gravitational force between them will decrease to 4 N.

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