How does the gravitational force between Earth and the Moon change when the distance between the two objects doubles but mass doesn’t change%3F(1 point) Responses The gravitational force between Earth and the Moon would completely disappear. The gravitational force between Earth and the Moon would completely disappear. The gravitational force between Earth and the Moon would stay the same. The gravitational force between Earth and the Moon would stay the same. The gravitational force between Earth and the Moon would go down by a proportional amount. The gravitational force between Earth and the Moon would go down by a proportional amount. The gravitational force between Earth and the Moon would goes up by a proportional amount.
The gravitational force between Earth and the Moon would go down by a proportional amount
The correct answer is: "The gravitational force between Earth and the Moon would go down by a proportional amount."
To understand why, let's look at the equation for gravitational force:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force between the two objects
G is the gravitational constant (a constant value)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects
In this case, we are told that the mass of both the Earth and the Moon does not change. So, the only thing that changes is the distance, which doubles.
If we double the distance (r) in the equation, the denominator (r^2) will become four times larger, and thus the force will become four times smaller. This means that the gravitational force between Earth and the Moon would go down by a proportional amount.