How does the gravitational force between Earth and the Moon change when the distance between the two objects doubles but mass doesn’t change?(1 point) Responses 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 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 goes up 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 response is: The gravitational force between Earth and the Moon would go down by a proportional amount.
The gravitational force between Earth and the Moon changes when the distance between them doubles but the mass doesn't change. To understand this, we can use Newton's law of universal gravitation, which states that the force of gravitational attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
So, let's consider the scenario where the distance between Earth and the Moon doubles. Since the mass of both objects doesn't change, the only variable that affects the gravitational force is the distance.
According to the inverse square law, if the distance between Earth and the Moon doubles, the denominator in the equation (the square of the distance) will become 4 times larger. This means that the gravitational force will decrease by a factor of 4.
Therefore, the correct answer is that the gravitational force between Earth and the Moon would go down by a proportional amount.