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 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 completely disappear.

The gravitational force between Earth and the Moon would goes up by a proportional amount.

1 answer

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 universal gravitation, the force of gravitational attraction between two objects is inversely proportional to the square of the distance between them. This means that if the distance between Earth and the Moon doubles, the force of gravitational attraction between them would decrease by a factor of four.