A short-lived particle with mass 454.4 MeV/c² and lifetime 2.5 μs is created in the upper atmosphere with a total energy of 5 GeV. Calculate the length of the path which the particle travels during one lifetime, as measured by an observer on the surface of the earth.

A short-lived particle with mass 454.4 MeV/c² and lifetime 2.5 μs is created in the upper atmosphere with a total energy of 5 GeV. Calculate the length of the path which the particle travels during one lifetime, as measured by an observer on the surface of the earth.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter14: Special Theory Of Relativity

Section: Chapter Questions

Problem 14.13P

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Question

A short-lived particle with mass 454.4 MeV/c² and lifetime 2.5 ?�s is created in the upper atmosphere with a total energy of 5 GeV. Calculate the length of the path which the particle travels during one lifetime, as measured by an observer on the surface of the earth.

A short-lived particle with mass 454.4 MeV/c² and lifetime 2.5 μs is created in the upper atmosphere with a total energy of 5 GeV. Calculate the length of the
path which the particle travels during one lifetime, as measured by an observer on the surface of the earth.

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Step 3: Calculate distance traveled by the particle in lifetime

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