Einsteins Theory of relativity Equation help

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SUMMARY

The discussion centers on applying Einstein's Theory of Relativity to determine the velocity of a particle using the equation involving magnetic rigidity, the ratio of electron charge to mass, and the speed of light. The specific equation mentioned is the magnetic rigidity multiplied by the ratio of charge to mass, times the square root of (speed of light squared minus velocity squared) over speed of light squared. The expected result is 2.47 x 10^10, although the method to derive this answer is unclear to the original poster. Participants suggest reconsidering the experiment due to the complexity of measuring relativistic velocities for a science fair project.

PREREQUISITES
  • Understanding of Einstein's Theory of Relativity
  • Familiarity with Lorentz transformations
  • Knowledge of particle physics, specifically electron charge and mass
  • Basic grasp of experimental physics and measurement techniques
NEXT STEPS
  • Research the Lorentz equations and their application in relativistic physics
  • Explore methods for measuring particle velocities in experimental setups
  • Investigate simpler physics experiments suitable for science fairs
  • Learn about magnetic rigidity and its role in particle physics
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Students conducting science fair projects, educators teaching physics concepts, and anyone interested in experimental applications of Einstein's Theory of Relativity.

swordsworn2930
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For my science fair project I decided to test Einsteins Theory of relativity. Upon searching for hours on the internet I know that I'm supposed to be finding the velocity of a particle. I'm told the equation is the magnetic rigidity times ratio of electrons charge to mass times the square root of the speed of light squared minus velocity squared over the speed of light squared.

I'm also told that the answer is 2.47 x 10^10 but i have no idea how they came by this answer.

Please see my attachment for a cleaner version of the equation.
 

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What kind of apparatus were you planning on making? What is the goal of your testing, to find the velocity of particle? How will you find that velocity experimentally? In general a relativistic velocity will travel according to the Lorrentz equations.
 
I think you should find another experiment to undertake. Measuring relativistic velocities isn't all that practical for a science fair project!
 

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