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Physics LibreTexts

10.1: Momentum and Newton’s Second Law

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Up to this point we have stated Newton’s second law in its conventional form, F=ma. However, in the non-relativistic case ma=mdu/dt=d(mu)/dt, so we can also write Newton’s second law as

F=dpdt (Newton's second law) 

where p=mu is the non-relativistic kinetic momentum. This form of Newton’s second law is actually closer to Newton’s original statement of the law. It also has the advantage that it is correct even in the relativistic case when the relativistic definition of kinetic momentum, p=mw(1u2/c2)1/2 (as defined earlier), is substituted.


This page titled 10.1: Momentum and Newton’s Second Law is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by David J. Raymond (The New Mexico Tech Press) via source content that was edited to the style and standards of the LibreTexts platform.

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