When it comes to gravity there are two key issues we need to think about. First, the force of gravity increases as the mass of an object increases. The earth has roughly 80 times more mass than the moon, so is the force of gravity 80 times stronger on earth? No, the force of gravity is only about 6 times stronger on the earth than on the surface of the moon. So why this discrepancy? It relates to the second key issue: size. The force of gravity decreases rapidly with increased size (measured as distance to the center). The earth is roughly 4 times as large as the moon, meaning that we would expect the moon to have roughly 4 times stronger gravity on its surface than on the surface of the earth. When we combine these two key factors - mass and size - it ends up that the sheer mass of the earth gives it a gravitation edge up and gravity ends up being about 6 times stronger on the earth than on the moon.

The force of attraction known as gravity is created by mass. Because the Earth has a lot more mass than the moon, we feel a stronger pull of gravity from the Earth.