Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 36: Q. 40 (page 1060)

At what speed, as a fraction of c, is a particle’s total energy twice its rest energy?

Short Answer

Expert verified

v=32c

Step by step solution

01

Given Information

We have to find the speed, as a fraction of c, is a particle’s total energy twice its rest energy?

02

Simplify

Total energy formula is

Eο=mc21-v2c2

The rest of energy formula is

E=mc2

Now we will find the total energy twice its rest energy.

Eο=2Emc21-v2c2=2mc2mc2=1-v2c2·2mc2c22c2=1-v2c212=1-v2c214=1-v2c24v2=3c2v2=34c2v=32c

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

The diameter of the solar system is 10light hours. A spaceship crosses the solar system in15 hours, as measured on earth. How long, in hours, does the passage take according to passengers on the spaceship?

In an attempt to reduce the extraordinarily long travel times for voyaging to distant stars, some people have suggested traveling at close to the speed of light. Suppose you wish to visit the red giant star Betelgeuse, which is430lyaway, and that you want your 20,000kgrocket to move so fast that you age only 20yearsduring the round trip.

a . How fast, as a fraction of c, must the rocket travel relative to earth?

b. How much energy is needed to accelerate the rocket to this speed?

c. Compare this amount of energy to the total energy used by the United States in the year 2015, which was roughly1.0×1020J

Two rockets are each 1000mlong in their rest frame. Rocket Orion, traveling at 0.80c relative to the earth, is overtaking rocket Sirius, which is poking along at a mere 0.60c. According to the crew on Sirius, how long does Orion take to completely pass? That is, how long is it from the instant the nose of Orion is at the tail of Sirius until the tail of Orion is at the nose of Sirius?

Bjorn is standing at x=600m. Firecracker 1explodes at the origin and firecracker2explodes at x=900m. The flashes from both explosions reach Bjorn’s eye at t=3.0μs. At what time did each firecracker explode?

A cube has a density of 2000kg/m3while at rest in the laboratory. What is the cube’s density as measured by an experimenter in the laboratory as the cube moves through the laboratory at 90%of the speed of light in a direction perpendicular to one of its faces?
See all solutions

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Read Explanation

Kinematics Physics

Read Explanation

Electricity and Magnetism

Read Explanation

Fundamentals of Physics

Read Explanation

Rotational Dynamics

Read Explanation

Radiation

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