Exercise
https://texercises.com/exercise/doubling-the-momentum/
Question
Solution
Short
Video
\(\LaTeX\)
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:
A particle of rest mass m_ travels at speed vO c. At what speed will its momentum be doubled?

Solution:
The initial momentum of the particle is p gamma m_ v and fter the alteration of the velocity the momentum is p' gamma' m_ v'. It now follows: p' &mustbe p gamma' m_ v' gamma m_ v fracv'sqrt-fracv'^c^ fracvsqrt-fracv^c^ fracv'^-fracv'^c^ fracv^-fracv^c^ fracc^v'^c^-v'^ fracc^v^c^-v^ c^-v^c^v'^ c^-v'^c^v^ c^-v^v'^ c^-v'^v^ c^v'^-v^v'^ c^v^-v'^v^ c^v'^+v^v'^ c^v^ c^+v^v'^ c^v^ v'^ frac c^c^+v^ v^ v' sqrtfrac c^c^+v^ v sqrtfrac c^c^+vO c^ vO c nQ c
Meta Information
\(\LaTeX\)-Code
Exercise:
A particle of rest mass m_ travels at speed vO c. At what speed will its momentum be doubled?

Solution:
The initial momentum of the particle is p gamma m_ v and fter the alteration of the velocity the momentum is p' gamma' m_ v'. It now follows: p' &mustbe p gamma' m_ v' gamma m_ v fracv'sqrt-fracv'^c^ fracvsqrt-fracv^c^ fracv'^-fracv'^c^ fracv^-fracv^c^ fracc^v'^c^-v'^ fracc^v^c^-v^ c^-v^c^v'^ c^-v'^c^v^ c^-v^v'^ c^-v'^v^ c^v'^-v^v'^ c^v^-v'^v^ c^v'^+v^v'^ c^v^ c^+v^v'^ c^v^ v'^ frac c^c^+v^ v^ v' sqrtfrac c^c^+v^ v sqrtfrac c^c^+vO c^ vO c nQ c
Contained in these collections:

Attributes & Decorations
Branches
Momentum, Work, Energy, Power
Tags
algebraic, energy, mass, momentum, physics, relativistic, relativity, srt
Content image
Difficulty
(4, default)
Points
4 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link