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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs
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Integrated ConceptsPlans for an accelerator that produces

Chapter 33, Problem 48

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QUESTION:

Integrated Concepts

Plans for an accelerator that produces a secondary beam of \(K\)-mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of \(500 \ MeV\). (a) What would the relativistic quantity \(\gamma=\frac{1}{\sqrt{1-v^{2} / c^{2}}}\) be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?

Equation Transcription:

 

Text Transcription:

K

500 MeV

gamma = 1/ sqrt 1 - v^2/c^2

Questions & Answers

QUESTION:

Integrated Concepts

Plans for an accelerator that produces a secondary beam of \(K\)-mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of \(500 \ MeV\). (a) What would the relativistic quantity \(\gamma=\frac{1}{\sqrt{1-v^{2} / c^{2}}}\) be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?

Equation Transcription:

 

Text Transcription:

K

500 MeV

gamma = 1/ sqrt 1 - v^2/c^2

ANSWER:

Solution  48PE

a)  Mass–energy equivalence is a concept that explains the relationship between mass and energy. It states every mass has an energy equivalent which is numerically calculated as:

E = mc

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