A PERSON State Center, gravitational force between two objects depend upon the mass of the object in the distance between them which argument best supports the person statement a. If the distance between two objects decreases the gravitational force between objects will not change.B. If the distance between two objects increases, the gravitational force between objects will decrease. C. If the distance between two objects increases, the gravitational force between objects will increase.D. If the distance between two objects increases, the gravitational force between objects will decrease.

C. If the distance between two objects increases, the gravitational force between objects will increase.

The argument that best supports the person's statement is option D: "If the distance between two objects increases, the gravitational force between objects will decrease."

According to Newton's Law of Universal Gravitation, the force of gravity between two objects is inversely proportional to the square of the distance between them. In other words, as the distance between two objects increases, the gravitational force between them will decrease.

To determine the best argument that supports the person's statement, let's break down the options:

A. If the distance between two objects decreases, the gravitational force between objects will not change.
This statement is incorrect. According to Newton's law of universal gravitation, the gravitational force between two objects is inversely proportional to the square of the distance between them. As the distance decreases, the gravitational force increases.

B. If the distance between two objects increases, the gravitational force between objects will decrease.
This statement is correct. As the distance between two objects increases, the gravitational force between them will decrease. This is because the force of gravity weakens with increasing separation between objects.

C. If the distance between two objects increases, the gravitational force between objects will increase.
This statement is incorrect. It contradicts the basic understanding of gravity. As objects move farther apart, the gravitational force between them actually weakens.

D. If the distance between two objects increases, the gravitational force between objects will decrease.
This statement is the same as option B, and it is correct. The correct statement is that as the distance between two objects increases, the gravitational force between them will indeed decrease.

Therefore, the argument that best supports the person's statement is option B: If the distance between two objects increases, the gravitational force between objects will decrease.