Friday 21 June 2019

newtonian mechanics - Are Newton's 1st and 3rd laws just consequences of the 2nd?


Can Newton's 1st and 3rd laws be assumed given just $F=ma$. I know that the argument would be, "No, then there would only be 1 law". But I can't think of any situation where 1 and 3 aren't superfluous.


If you just told me $F=ma$: I would assume nothing else causes an acceleration besides a force. So things not experiencing a force don't change velocity, even when velocity is 0. 1 ✔️



And, when two things that exist interact they use only their mass and acceleration to do so so they both must change in opposite ways. 3 ✔️




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