Finding initial velocity of two elementary particles

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SUMMARY

The discussion centers on calculating the initial velocity of two elementary particles by considering their kinetic energy (KE). The formula for kinetic energy, KE = (1/2)mv^2, is crucial for understanding the energy dynamics of the particles. Participants emphasize the importance of accounting for both particles in the calculation, especially since both end with zero final velocity. This highlights the need for a comprehensive approach to energy conservation in particle physics.

PREREQUISITES
  • Understanding of kinetic energy formulas, specifically KE = (1/2)mv^2
  • Basic knowledge of elementary particle physics
  • Familiarity with conservation of energy principles
  • Ability to analyze motion and velocity in physics
NEXT STEPS
  • Study the principles of conservation of momentum in particle collisions
  • Learn about the implications of zero final velocity on energy calculations
  • Explore advanced kinetic energy concepts in multi-particle systems
  • Investigate the role of mass in determining initial velocities of particles
USEFUL FOR

Students and professionals in physics, particularly those focusing on particle dynamics and energy conservation, will benefit from this discussion.

asilvester635
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<Moderator's note: Moved from a technical forum and thus no template.>

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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