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he gravitational force between two objects is _____ proportional to the product of their masses and _____ proportional to the distance between their centres of mass .

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Final answer:

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 of mass.

Step-by-step explanation:

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 canters of mass. This relationship is encapsulated by Newton's Law of Universal Gravitation, which defines the force of gravity between two bodies. The formula representing this law is
F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of mass of the objects. The law points out that as the mass of either object increases, the force of gravity between them also increases, and as the distance between the centers of mass increases, the gravitational force decreases.

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