Newton's second law vs second law of motion

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

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

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

Newton's second law and second law of motion: the rate of change of momentum is proportional to the imposed force and goes in the direction of the force

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

Newton's second law (noun)	second law of motion (noun)
the rate of change of momentum is proportional to the imposed force and goes in the direction of the force	the rate of change of momentum is proportional to the imposed force and goes in the direction of the force