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The gravitational force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between their centers of mass.
Mathematically, the equation for gravitational force is given by:
F = G * (m1 * m2) / r^2
Where:
- F is the gravitational force between the two objects,
- G is the gravitational constant (approximately 6.67430 x 10^-11 N(m/kg)^2),
- m1 and m2 are the masses of the two objects, and
- r is the distance between the centers of mass of the two objects.
In this equation, we can see that the gravitational force is directly proportional to the product of the masses (m1 * m2) of the two objects. The larger the masses, the stronger the gravitational force between them.
Additionally, the force is inversely proportional to the square of the distance (r^2) between the centers of mass. This means that as the distance between two objects increases, the gravitational force between them decreases. Essentially, the force weakens rapidly as the objects move farther apart.
Therefore, we can conclude that the gravitational force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.