Newton's law vs Newton's law of motion

Newton's law and Newton's law of motion both are nouns.

Word	Noun	Adjective	Verb	Adverb
Newton's law	Yes	No	No	No
Newton's law of motion	Yes	No	No	No

As nouns, Newton's law and Newton's law of motion are synonyms defined as:

Newton's law and Newton's law of motion: one of three basic laws of classical mechanics

Other synonyms of Newton's law include law of motion.

Newton's law (noun)	Newton's law of motion (noun)
one of three basic laws of classical mechanics	one of three basic laws of classical mechanics