The earth has about 80 times the mass of the earth’s moon. The gravitational force exerted on the moon by the earth has what relation to the gravitational force exerted on the earth by the moon?
1. the same as
2. zero; the earth exerts a force on the moon,but the moon is too small and too far away to exert a force on the earth.
3. 80×
4.1/80×
#1 is correct
Well, if the earth has 80 times the mass of the moon, that means it has a lot more "gravity power" compared to the moon. So if we go by that logic, I would say the answer is 3) 80 times. It's like the earth is saying, "Hey moon, I've got a lot more mass, so I'm going to pull you towards me with a lot more force!" It's like a big sibling showing off their strength to a little sibling, but instead of muscles, it's all about gravity.
The gravitational force exerted on the moon by the earth has the same magnitude as the gravitational force exerted on the earth by the moon. Therefore, the correct answer is 1. the same as.
The gravitational force between two objects is given by the equation:
F = G * (m1 * m2) / r^2
where F represents the gravitational force between the two objects, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two objects.
In this case, let's consider the gravitational force exerted on the moon by the earth (Fm) and the gravitational force exerted on the earth by the moon (Fe).
Given that the earth has about 80 times the mass of the moon, we can write the equation for these forces as follows:
Fm = G * (Mass of Moon) * (Mass of Earth) / r^2
Fe = G * (Mass of Earth) * (Mass of Moon) / r^2
Since the mass of the earth is 80 times greater than the mass of the moon, we can simplify the above equations as:
Fm = G * (Mass of Moon) * (80 * Mass of Moon) / r^2
Fe = G * (80 * Mass of Moon) * (Mass of Moon) / r^2
Simplifying further:
Fm = G * (80 * Mass of Moon^2) / r^2
Fe = G * (80 * Mass of Moon^2) / r^2
From these equations, we can see that Fm and Fe both have the same value. Therefore, the gravitational force exerted on the moon by the earth is the same as the gravitational force exerted on the earth by the moon.
So, the correct answer is 1. the same as.