Exercise
https://texercises.com/exercise/colliding-particles/
Question
Solution
Short
Video
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
The following formulas must be used to solve the exercise:
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Two particles of identical mass m whose kinetic energy is twice the rest energy collide and form a pair of new particles with identical mass. What is the new particles' maximum mass? Why is it usually smaller?

Solution:
The total energy in the collision is E E_ + sscEkin E_ + E_ E_ The maximum rest energy per new particle is thus E'_textrmmax fracE E_ It follows for the maximum mass of the new particles m' m_e Usually a significant part of the total energy will be kinetic energy of the new particles so their mass is generally smaller than m_e.
Meta Information
\(\LaTeX\)-Code
Exercise:
Two particles of identical mass m whose kinetic energy is twice the rest energy collide and form a pair of new particles with identical mass. What is the new particles' maximum mass? Why is it usually smaller?

Solution:
The total energy in the collision is E E_ + sscEkin E_ + E_ E_ The maximum rest energy per new particle is thus E'_textrmmax fracE E_ It follows for the maximum mass of the new particles m' m_e Usually a significant part of the total energy will be kinetic energy of the new particles so their mass is generally smaller than m_e.
Contained in these collections:
  1. Colliding Particles by TeXercises
    1 | 3

Attributes & Decorations
Branches
special relativity
Tags
collision, equivalence mass energy, kinetic energy, rest energy
Content image
Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Algebraic
Creator by
Decoration
File
Link