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Invariance of Newton's second law

  1. Oct 24, 2005 #1
    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:
  2. jcsd
  3. Oct 24, 2005 #2


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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)


    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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