Question

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What law of nature did Newton discover and how did he relate his discovery to the relationship between the Earth and the Moon?

Answer 1

Newton discovered motion.

By discovering this he discovered gravity and the Earth and Moon are pretty much the same size, thus the gravity of each others masses are pulling on each other and that is why we have waves. (Bad grammar but that is the answer)

Answer 2

The law of nature that newton discovered was gravity. The misconception to think that the laws of nature are discovered. So the relationship from the moon and earth with newtons discover by discovering the gravity earth and the moon are pretty much. So the gravity of the earth and moon are pulling each other that how they get they waves. The notion of the gravity that applies to projectiles on the earth of viewing the earth and the moon and the plants.