Finding initial velocity of two elementary particles

AI Thread Summary
The discussion revolves around understanding the derivation of the kinetic energy term (1/2)mv^2 in the context of two elementary particles. Participants clarify that both particles contribute to the total kinetic energy, which is essential for calculating their initial velocities. The final velocities of both particles are noted to be zero, impacting the overall energy considerations. The confusion primarily stems from the application of kinetic energy formulas in a multi-particle scenario. Clear comprehension of these principles is crucial for accurate calculations in particle physics.
asilvester635
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I'm not sure how they got the extra (1/2)mv^2? My question is shown using pink font in the image below as well as my attempt.

IMG_2520.jpeg
 

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asilvester635 said:
I'm not sure how they got the extra (1/2)mv^2?
There are two particles so you must consider the KE of both. (Note that in the figure both particles end up with zero final velocity.)
 
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