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 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 gravitational force between Earth and the Moon would go down by a proportional amount. 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 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 down by a proportional amount.
The gravitational force between two objects is given by the equation F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
In this scenario, the distance between the Earth and the Moon doubles, but the mass of both objects remains unchanged. Let's analyze the effect of this change on the gravitational force.
According to the equation, the force is inversely proportional to the square of the distance between the objects. This means that as the distance doubles, the force will decrease by a factor of 1/4 since 2^2 = 4. So, if the distance between the Earth and the Moon doubles, the gravitational force between them will decrease by a proportional amount, not go up.
Therefore, the correct answer is: The gravitational force between Earth and the Moon would go down by a proportional amount.