Invariance of Newton's second law

  • Thread starter Emanuel84
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Is someone able to proove the invariance under Galilean transformations of F=dp/dt within a system of variable mass? In particular is the momentum invariant? i.e. p=p', as Goldstein states? Please answer me! :wink:
 

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pervect
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Do you have Goldstein? I think he proves this in the text. Online, try looking up Noether's theorem (and in Goldstein, too for that matter)

http://math.ucr.edu/home/baez/noether.html

Note that you need to know that your forces are derived from a Lagrangian to prove this is true, this is equivalent to assuming Hamilton's principle of least action.
 

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