Conservation of Momentum in Inelastic Collisions

AI Thread Summary
In inelastic collisions, momentum is conserved, meaning the total momentum before the collision equals the total momentum after the collision. The equation m_1\vec{v}_1 + m_2\vec{v}_2 = (m_1 + m_2)\vec{v}_f illustrates this principle, where m represents mass and v represents velocity. The vector nature of momentum indicates that both magnitude and direction must be considered in the calculations. Participants in the discussion referenced external resources to clarify concepts related to inelastic collisions. Understanding these principles is crucial for analyzing the behavior of colliding objects.
kevina
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Can someone explain to me the vector nature of momentum in a case where two objects collide and stick together?
 
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Yes! I remember seeing that link once before. I was looking for it but couldn't find it. Thanks Doc Al. :)
 
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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