University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

Plans for ail 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 γ = 1 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?

To determine


Relativistic quantity of particles.



  γ=1 1 v 2 c 2

KE = 500MeV

Formula used:

Relativistic quantity is calculated by



Mass energy equivalence gives the relation between mass and energy. It states that every mass has an energy equivalent.


Here E is the energy of a physical system and c is the speed of light in vacuum.

The relativistic quantity is given by

  γ=1 1 v 2 c 2

Total energy is equal to relativistic quantity multiplied with the mass and speed of light's square.



  total energy=kinetic energy 

To determine


Its life time in laboratory.

To determine


The distance they travel in their lifetime..

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