/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q22 P (a) Draw a space-time diagram re... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q22 P (page 532)

(a) Draw a space-time diagram representing a game of catch (or a conversation) between two people at rest, apart. How is it possible for them to communicate, given that their separation is spacelike?

(b) There's an old limerick that runs as follows:

There once was a girl named Ms. Bright,

Who could travel much faster than light.

She departed one day,

The Einsteinian way,

And returned on the previous night.

What do you think? Even if she could travel faster than light, could she return before she set out? Could she arrive at some intermediate destination before she set out? Draw a space-time diagram representing this trip.

Short Answer

Expert verified

(a) Draw a space-time diagram between two people at rest, 10 ft apart.


The conversation is not instantaneous because as sound wave need time to travel.

(b) Draw a space-time diagram representing this trip.

She will be returning late as the time required by her is more.

Step by step solution

01

Write the given data from the question.

Consider a space-time diagram representing a game of catch (or a conversation) between two people at rest, 10 ft apart.

02

(a) Draw a space-time diagram between two people at rest, 10ft apart.

Draw a space-time diagram between two people at rest, 10 ft apart.

Fig. 1

According to the circumstances, it is impossible for player to connect with player . Instead, player communicates with the player who receives the message later and learns of the answer from player when he is older.

03

(b) Draw a space-time diagram representing this trip.

Draw a space-time diagram representing this trip.

Fig. 2

For a moving observer, it could be feasible to claim that she arrived at B before she left A, but for a circuitous route, it is unavoidable that one must concede that she returns later than when she started.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

You may have noticed that the four-dimensional gradient operator 鈭�/鈭�x渭 functions like a covariant 4-vector鈥攊n fact, it is often written鈭�渭 , for short. For instance, the continuity equation, 鈭�渭J渭=0, has the form of an invariant product of two vectors. The corresponding contravariant gradient would be鈭�渭鈮�鈭�/鈭�x渭 . Prove that鈭�渭f is a (contravariant) 4-vector, if蠒 is a scalar function, by working out its transformation law, using the chain rule.

(a) Show that (E鈰�B)is relativistically invariant.

(b) Show that (E2-c2B2)is relativistically invariant.

(c) Suppose that in one inertial systemB=0but E鈮�0(at some point P). Is it possible to find another system in which the electric field is zero atP?

Question: Two charges approach the origin at constant velocity from opposite directions along the axis. They collide and stick together, forming a neutral particle at rest. Sketch the electric field before and shortly after the collision (remember that electromagnetic "news" travels at the speed of light). How would you interpret the field after the collision, physically?

An ideal magnetic dipole moment m is located at the origin of an inertial system S炉 that moves with speed v in the x direction with respect to inertial system S. InS炉 the vector potential is

A炉=渭04蟺m炉脳r^炉r炉2

(Eq. 5.85), and the scalar potentialV炉 is zero.

(a) Find the scalar potential V in S.

(b) In the nonrelativistic limit, show that the scalar potential in S is that of an ideal electric dipole of magnitude

p=v脳mc2

located atO炉 .

(a) Repeat Prob. 12.2 (a) using the (incorrect) definition p=mu, but with the (correct) Einstein velocity addition rule. Notice that if momentum (so defined) is conserved in S, it is not conserved inlocalid="1654750932476" S. Assume all motion is along the x axis.

(b) Now do the same using the correct definition,localid="1654750939709" p=m畏 . Notice that if momentum (so defined) is conserved in S, it is automatically also conserved inlocalid="1654750943454" S. [Hint: Use Eq. 12.43 to transform the proper velocity.] What must you assume about relativistic energy?
See all solutions

Recommended explanations on Physics Textbooks

Wave Optics

Read Explanation

Fields in Physics

Read Explanation

Circular Motion and Gravitation

Read Explanation

Magnetism

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Space Physics

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.