College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000



College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

What is the radio of the velocity of a 5.00−MeV (ray to that of an (panicle with the same kinetic energy? This should con?rm that (travel much faster than (s even when relativity is taken into consideration. (See also Exercise 31.11.)

To determine

The ratio of the velocity of a β particle to that of an a particle.


Given info:

From standard tables,

Rest mass of a β particle (electron)  (m0)β=9.109×1031kg

Rest mass of an a particle  (m0)α=6.644×1027kg

The kinetic energy of the particles  Ek=5.00 MeV

Formula used:

The relativistic kinetic energy of a particle of rest mass m0 is given by,


Here, m is the mass of the particle which moves with a velocity v , and is given by,

  m=m01 v 2 c 2


Express the kinetic energy in joules.

  Ek=5.00 MeV×1.6× 10 13J1 MeV=8.00×1013J

Using the formula for relativistic kinetic energy, calculate the relativistic mass of the β particle using the values of rest mass and kinetic energy of the particle.

  Ek=(mβ ( m 0 )β)c2mβ=Ekc2+( m 0)β

Using the given values,

  mβ=Ekc2+( m 0)β=( 8.00× 10 13 J ( 3.00× 10 8 m/s ) 2 )+(9.109× 10 31kg)=9

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Describe a situation when the intake of a phytochemical supplement or a functional food would be appropriate. G...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Why does helium fusion require a higher temperature than hydrogen fusion?

Horizons: Exploring the Universe (MindTap Course List)

For the system of four capacitors shown in Figure P26.19, find (a) the equivalent capacitance of the system, (b...

Physics for Scientists and Engineers, Technology Update (No access codes included)