• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Answers without the blur. Sign up and see all textbooks for free! → Illustration

Q8PE

Expert-verified
College Physics (Urone)
Found in: Page 1029
College Physics (Urone)

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later
Illustration

Short Answer

If relativistic effects are to be less than 3%, then γ must be less than 1.03. At what relative velocity is γ = 1.03?

The relative velocity v = 0.240c.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: To find the relative velocity

As we know the relativistic factor is given by

\(\gamma=\frac{1}{{\sqrt{1-{{\left({\frac{v}{c}}\right)}^2}}}}\) …. (1)

Where v is its velocity relative to an observer and c = 3.00 ×108 m/s is the speed of the light

Here given that the relativistic factor is

γ = 1.03

Step 2: To solve the equation

From the equation (1), we get

\(\begin{aligned}v &=c\sqrt{1-{{\left({\frac{1}{\gamma}}\right)}^2}}\\&=c\sqrt{1-{{\left({\frac{1}{{1.03}}} \right)}^2}} \\&= 0.240c\end{aligned}\)

Hence the relative velocity is v = 0.240c

Most popular questions for Physics Textbooks

Is the relativistic Doppler effect consistent with the classical Doppler effect in the respect that \({{\rm{\lambda }}_{{\rm{obs}}}}\) is larger for motion away?

Nuclear-powered rockets were researched for some years before safety concerns became paramount.

(a) What dfraction of a rocket’s mass would have to be destroyed to get it into a low Earth orbit, neglecting the decrease in gravity? (Assume an orbital altitude of \(250{\rm{ }}km\), and calculate both the kinetic energy (classical) and the gravitational potential energy needed.)

(b) If the ship has a mass of \(1.00{\rm{ }} \times {\rm{ }}{10^5}{\rm{ }}kg\)\((100{\rm{ }}tonns)\), what total yield nuclear explosion in tons of TNT is needed?

(a) Using data from Table \(7.1\), find the mass destroyed when the energy in a barrel of crude oil is released.

(b) Given these barrels contain \(200\) litres and assuming the density of crude oil is\(750{\rm{ }}kg/{m^3}\), what is the ratio of mass destroyed to original mass, \(\Delta m/m\)?

How does modern relativity modify the law of conservation of momentum?

Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. It moves by you at 0.980c0.980c, and it lives 1.24×10-8when at rest relative to an observer. How long does it live as you observe it?
Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

Work Energy and Power

Read explanation

Radiation

Read explanation

Astrophysics

Read explanation

Physics of Motion

Read explanation

Scientific Method Physics

Read explanation

Famous Physicists

Read explanation

Fluids

Read explanation

Torque and Rotational Motion

Read explanation

Nuclear Physics

Read explanation

Fields in Physics

Read explanation

Measurements

Read explanation

Space Physics

Read explanation

Electricity

Read explanation

Physical Quantities and Units

Read explanation

Medical Physics

Read explanation

Electrostatics

Read explanation

Further Mechanics and Thermal Physics

Read explanation

Mechanics and Materials

Read explanation

Engineering Physics

Read explanation

Energy Physics

Read explanation

Force

Read explanation

Particle Model of Matter

Read explanation

Waves Physics

Read explanation

Magnetism

Read explanation

Modern Physics

Read explanation

Atoms and Radioactivity

Read explanation

Dynamics

Read explanation

Electricity and Magnetism

Read explanation

Conservation of Energy and Momentum

Read explanation

Fundamentals of Physics

Read explanation

Kinematics Physics

Read explanation

Circular Motion and Gravitation

Read explanation

Linear Momentum

Read explanation

Rotational Dynamics

Read explanation

Oscillations

Read explanation

Translational Dynamics

Read explanation

Geometrical and Physical Optics

Read explanation

Thermodynamics

Read explanation

Magnetism and Electromagnetic Induction

Read explanation

Electromagnetism

Read explanation

Electric Charge Field and Potential

Read explanation

Turning Points in Physics

Read explanation

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.