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

(a) Calculate the relativistic quantity γ = 1 1 v 2 / c 2 for 1.00-TeV protons produced at Fermilab. (b) If such a proton created a π + having the same speed, how long would its life be in the laboratory? (c) How far could it travel in this time?

To determine


Relativistic quantity of protons.


Given data:

Energy, E = 1.00 TeV

  γ=11 v 2 c 2

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. E=Δmc2

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

From the mass-energy equivalence


On rearranging γ=Emc2

Substitute 1

To determine


Itslife time in laboratory.

To determine


The distance they travel in their lifetime..

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