Is my method for solving the GRE Relativity Problem correct?

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SUMMARY

The discussion centers on solving the GRE Relativity Problem using the rest energy of particles. The user attempts to equate the rest energy of a Kaon and a Proton, ultimately deriving a momentum equation. They express concern over the complexity of their method and its efficiency under GRE time constraints. The conclusion drawn is that while their method is mathematically valid, it is not the most efficient approach for solving the problem within the exam's time limits.

PREREQUISITES
  • Understanding of relativistic energy equations, specifically rest energy and total energy.
  • Familiarity with the concept of Lorentz factor (γ) in special relativity.
  • Basic algebra skills for manipulating equations involving momentum and energy.
  • Knowledge of particle physics, particularly the properties of Kaons and Protons.
NEXT STEPS
  • Study the derivation and application of the Lorentz factor (γ) in relativistic problems.
  • Learn efficient problem-solving techniques for GRE physics questions, focusing on time management.
  • Explore the relationship between rest energy, total energy, and momentum in special relativity.
  • Practice solving particle physics problems involving Kaons and Protons to enhance familiarity with their properties.
USEFUL FOR

Students preparing for the GRE Physics exam, particularly those focusing on special relativity and particle physics. This discussion is beneficial for anyone looking to improve their problem-solving efficiency under exam conditions.

PsychonautQQ
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Homework Statement


http://grephysics.net/ans/8677/20

So to do this, I solved for the total rest energy of both particles.
The rest energy of Kaon + K = Rest energy of Proton
Rest energy of Proton - Rest Energy of Kaon = K
K = P^2/2m
((Rest Energy of Proton - Rest Energy of Kaon)*(2*Mass of Kaon))^1/2 = P

P = mv/(sqrt(1-v^2/c^2)

If I do this and do all the algebra correct and solve for v, will this method give me the correct answer? I got the wrong answer but I suck at numbers X_x.

I realize after looking at the answers on the website this is a poor way to do this problem with GRE time constraints, I just want to know if this thought process is flawed or not.
 
Physics news on Phys.org
If the rest energy of a particle is 494 MeV, and its total energy is 938 MeV, what is γ? Since γ=\frac{1}{\sqrt{1-\beta^2}}, square both sides and solve for β2 in terms of γ2. What is the value of β?
 
Yeah, I see that this is the best way to do it. I was just wondering if my way works (even though it would take way longer).
 

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