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 decreases, the gravitational force between the objects will not change.
If the distance between two objects decreases, the gravitational force between the objects will not change.
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 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 increases, the gravitational force between the objects will increase.
If the distance between two objects decreases, the gravitational force between the objects will decrease.
The argument that best supports the person's statement is: "If the distance between two objects decreases, the gravitational force between the objects will decrease."
The argument that best supports the person's statement is the following:
"If the distance between two objects increases, the gravitational force between the objects will decrease."
To explain why this argument supports the person's statement, we can refer to Newton's law of universal gravitation. This law 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 them.
Mathematically, this can be expressed as:
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 them.
According to this equation, if the distance between two objects increases (r increases), the gravitational force between them will decrease. This is because the denominator of the equation gets larger, resulting in a smaller overall value for the gravitational force.
Therefore, the argument that states that "If the distance between two objects increases, the gravitational force between the objects will decrease" best supports the person's statement about the dependence of gravitational force on the mass of the objects and the distance between them.