How can inelastic collision actually have conserved momentum.

student34
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When heat and acoustic energy are radiated from the system, doesn't this mean that the mass must have decreased as we know E = mc^2? I must be wrong, but I can't see where.
 
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Radiation has momentum too.
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...

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