How does the gravitational force between Earth and the Moon change when the distance between the two objects doubles but mass doesn't change?
The gravitational force between Earth and the Moon would completely disappear.
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 up by a proportional amount.
The gravitational force between Earth and the Moon would stay the same
The correct answer is: The gravitational force between Earth and the Moon would go down by a proportional amount.
According to Newton's law of gravitation, the gravitational force between two objects is inversely proportional to the square of the distance between them. Therefore, if the distance between Earth and the Moon doubles, the gravitational force will decrease by a factor of four (2 squared).