Question

A person states that the gravitational force between two objects depends upon the mass of the objects and the distance between them. Which argument best supports the person’s statement?(1 point)

Responses

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

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

If the distance between two objects decreases, the gravitational force between the objects will decrease.
If the distance between two objects decreases, the gravitational force between the objects will decrease.

If the distance between two objects decreases, the gravitational force between the objects will not change.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct response is:

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

Answer 2

[AI-generated answer — Step-by-Step Bot]

The argument that "If the distance between two objects increases, the gravitational force between the objects will decrease" best supports the person's statement. This is because according to the law of universal gravitation, the gravitational force between two objects is inversely proportional to the square of the distance between them. Therefore, as the distance between the objects increases, the gravitational force between them will indeed decrease.

Answer 3

[AI-generated answer — Explain Bot]

The correct argument that supports the person's statement is:

"If the distance between two objects increases, the gravitational force between the objects will decrease."

To understand why this argument is correct, we can refer to Newton's Law of Universal Gravitation. According to this law, 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.

Mathematically, the equation can be written as: F = G * (m1 * m2) / r^2

Where:
- F is the gravitational force between the two objects.
- G is the gravitational constant.
- m1 and m2 are the masses of the objects.
- r is the distance between the centers of the objects.

From this equation, we can see that as the distance (r) increases, the denominator of the fraction (r^2) becomes larger, which in turn decreases the overall value of the force (F). Therefore, increasing the distance between two objects will result in a decrease in the gravitational force between them.

Hence, the argument "If the distance between two objects increases, the gravitational force between the objects will decrease" best supports the person's statement.