   Chapter 11, Problem 80CP ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### 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

(a)

Relativistic quantity of protons.

Explanation

Given data:

Energy, E = 1.00 TeV

γ=11 v 2 c 2

Formula used:

Relativistic quantity is calculated by

γ=Emc2

Calculation:

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

E=γmc2

On rearranging γ=Emc2

Substitute 1

To determine

(b)

Itslife time in laboratory.

To determine

(c)

The distance they travel in their lifetime..

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