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)%0D%0AResponses%0D%0A%0D%0AIf the distance between two objects increases, the gravitational force between the objects will decrease.%0D%0AIf the distance between two objects increases, the gravitational force between the objects will decrease.%0D%0A%0D%0AIf the distance between two objects decreases, the gravitational force between the objects will not change.%0D%0AIf the distance between two objects decreases, the gravitational force between the objects will not change.%0D%0A%0D%0AIf the distance between two objects decreases, the gravitational force between the objects will decrease.%0D%0AIf the distance between two objects decreases, the gravitational force between the objects will decrease.%0D%0A%0D%0AIf 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 decrease.
The argument that best supports the person’s statement is: "If the distance between two objects increases, the gravitational force between the objects will decrease."
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 supports the person's statement, we can refer to the Law of Universal Gravitation, which states that 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, this can be represented 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 (r^2) becomes larger, meaning that the gravitational force (F) decreases. Therefore, if the distance between two objects increases, the gravitational force between them will indeed decrease.
The other arguments mentioned do not accurately represent the relationship between distance and gravitational force. For example, if the distance decreases, the gravitational force will actually increase, not stay the same or decrease.