What is the Relativistic Mass of a Muon?

AI Thread Summary
To calculate the relativistic mass of a muon traveling at 0.996c, the equation m = m0/sqrt(1-v^2/c^2) is used, where m0 is the rest mass. The rest mass energy of the muon is given as 1.69 x 10^-11 joules, which needs to be converted to mass using E=mc^2. The significance of the mountain in the problem is unclear, suggesting it may be a distraction or part of a larger context. Clarification on how to input values into the equation is needed to reach the expected answer of 2.1 x 10^-27 kg. Understanding the relationship between mass and energy is crucial for solving this problem.
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Homework Statement



A muon traveling with negligible energy loss at v = 0.996c travels past a 4730m mountain. What is the relavitistic mass of the muon given the rest mass energy of 1.69 x 10^-11 joules?

Homework Equations





The Attempt at a Solution



I think I should be using relativistic mass = m/sqrt(1-v^2/c^2). So m = 1.69 x 10^-11, however I am unsure how to imput the other values into the equation. The answer i need to find is 2.1 x 10^-27. Thanks for your help.
 
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I do not understand the significance of the mountain to this question. Is there another question to this problem?

It is incorrect to say that m = 1.69x10-11 Joules. Mass (in kg) is related to energy (in Joules) through what famous equation?
 
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(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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