Momentum/Kinetic Energy Stacking

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When a mass with an initial momentum of "1" receives an additional boost that would accelerate it to momentum "1" if at rest, its new momentum becomes "2." This confirms that the momentum adds linearly when considering the boost. The discussion emphasizes the straightforward nature of momentum accumulation in this scenario. The participants agree on the principle of momentum stacking. Overall, the interaction illustrates basic concepts of momentum and kinetic energy in physics.
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Momentum/Kinetic Energy "Stacking"

Just a simple question... if a mass moving (ignoring friction) with momentum "1" gets a boost (via something such as a rocket) that would, if the mass was not in motion, accelerate it to momentum "1", then will the mass be now at momentum "2"?

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Yes. (or 2*1, if you're considering 1 to be some variable)
 


Oh excellent :3
 

Thread 'Derivation of Hamilton's Principle: Questions'

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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