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The weight of a human on the Earth is unaffected by the Moon's gravity, because the Moon is so far away. Even if the Moon were much closer, the effect on people would be insignificant.

If the Moon were VERY close - a few thousand miles, perhaps, the direct effect of the Moon's gravity on people would still be trivial, but the effect of the Moon's gravity on the Earth would probably be devastating. We might expect every earthquake fault in the world to let loose, and the tides would be high enough to swamp coastal cities. (With New Orleans being below sea level anyway, we could say goodbye to the Big Easy.)

The reason that the effect of Moon's gravity would be tiny even with the Moon at 3000 miles is that the force of gravity decreases with the square of the distance. The Moon is only just over 1,000 miles in radius. If the Moon were 3000 miles away from Earth, then people would be 4,000 miles from the center of the Moon - 4 times further than they would be ON the Moon. 4 times further away means that the force of gravity would be 1/16th of normal, and the Moon's gravity is already very low compared to Earth; about 1/6th Earth-normal. So the gravitational effect on a human of the Moon being 3,000 miles away would be about one one-hundredth of the Earth's gravitational force.

As I said - an insignificant difference.

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If you put a moon rock on the earth would the weight of the rock change?

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Ocean tides would be most affected by a change in the moon's mass. A larger moon mass would increase the gravitational pull on the Earth, causing stronger and higher tides.


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