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 not change. 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 decrease.
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 argument that best 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 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 them.
Mathematically, the formula for gravitational force (F) is given by:
F = G * (m1 * m2) / r^2
Where:
- F represents the gravitational force between the objects
- G is the gravitational constant
- m1 and m2 are the masses of the objects
- r is the distance between the objects
Now, let's consider the argument: "If the distance between two objects increases, the gravitational force between the objects will decrease."
If we focus on the denominator of the formula, we see that as the distance (r) between the objects increases, the square of that distance (r^2) becomes larger. As a result, the overall value of the denominator increases. Since F is inversely proportional to the square of the distance, when the denominator increases, the gravitational force (F) will decrease.
Therefore, based on the principles of Newton's Law of Universal Gravitation, the argument stating that if the distance between two objects increases, the gravitational force between the objects will decrease best supports the person's statement.