Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 36: Q. 34 (page 1060)

At what speed, as a fraction of c, is a particle’s momentum twice its Newtonian value?

Short Answer

Expert verified

Speed of particle will be 0.866c.

Step by step solution

01

Given information 

We have given that, particle’s momentum twice its Newtonian value.

02

Step 1.

The Newtonian momentum is ρ=mv

Relativistic momentum of the particle is ρ=mv1-v2c2

As we have given that relativistic momentum is twice of Newtonian momentum, so :

mv1-v2c2=2mv

03

Step 2.

1-v2c2=14

v=32c

v=0.866c

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A modest supernova (the explosion of a massive star at the end of its life cycle) releases1.5×1044J of energy in a few seconds. This is enough to outshine the entire galaxy in which it occurs. Suppose a star with the mass of our sun collides with an antimatter star of equal mass, causing complete annihilation. What is the ratio of the energy released in this star-antistar collision to the energy released in the supernova?

Your friend flies from Los Angeles to New York. She carries an accurate stopwatch with her to measure the flight time. You and your assistants on the ground also measure the flight time.

a. Identify the two events associated with this measurement.

b. Who, if anyone, measures the proper time?

c. Who, if anyone, measures the shorter flight time?

At what speed, in m/s,would a moving clock lose role="math" localid="1649531760117" 1.0nsin 1.0day according to experimenters on the ground?

Hint: Use the binomial approximation.

As the meter stick in FIGURE Q36.8 flies past you, you simultaneously measure the positions of both ends and determine that L<1m.

a. To an experimenter in frame S′, the meter stick’s frame, did you make your two measurements simultaneously? If not, which end did you measure first? Explain.

b. Can experimenters in frame S′ give an explanation for why your measurement is less than 1 m.

A newspaper delivery boy is riding his bicycle down the street at 5.0m/s. He can throw a paper at a speed of 8.0m/s. What

is the paper’s speed relative to the ground if he throws the paper (a) forward, (b) backward, and (c) to the side?
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Particle Model of Matter

Read Explanation

Measurements

Read Explanation

Force

Read Explanation

Electric Charge Field and Potential

Read Explanation

Electrostatics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free