Which, if any part, is greater: the earth pulling on the moon, or the moon pulling on the earth?

Question

There is an interaction between the earth and the moon that we call gravity. Part of the interaction is the earth pulling on the moon, and the other part is the moon pulling on the earth. Which, if any part, is greater: the earth pulling on the moon, or the moon pulling on the earth?

Answer 1

They both exert the same force on each other. F_g = G*M_E*M_M/r².

Even if you were asked does the Earth's gravity pull u down harder than your gravity, the answer would be the same. While the same force is exerted, F=m*a, so a = F/m so if it has a larger mass then the acceleration is gonna be smaller, and the earth's acceleration towards you is much smaller than your acceleration towards it (which is 9.8 m/s²)