/*! 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} Q14P A rod is to move at constant spe... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 37: Q14P (page 1146)

A rod is to move at constant speed v along the xaxis of reference frame S, with the rod鈥檚 length parallel to that axis. An observer in frame Sis to measure the length Lof the rod. Figure 37-23 given length Lversus speed parameter 尾for a range of values for 尾. The vertical axis scale is set by La=1.00m. What is L if v=0.95c?

Short Answer

Expert verified

The value of L is 0.25 .

Step by step solution

01

The relation between lengths in different frames

The formula to find the length of the object in a reference frame is given by

L=L01-vc2.

02

The length of the rod

From the graph, it is clear that when 尾=0,L0=0.8 , and the value of v is 0.95c.

Substitute the known values and solve for L as follows:

L=L01-vc2L=0.81-0.95c2L=0.81-0.952L=0.25

Thus, the value of L is 0.25m .

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

Relativistic reversal of events. Figures 37-25a and b show the (usual) situation in which a primed reference frame passes an unprimed reference frame, in the common positive direction of the xand xaxes, at a constant relative velocity of magnitude . We are at rest in the unprimed frame; Bullwinkle, an astute student of relativity in spite of his cartoon upbringing, is at rest in the primed frame. The figures also indicate events Aand Bthat occur at the following spacetime coordinates as measured in our unprimed frame and in Bullwinkle鈥檚 primed frame:

Event Unprimed Primed

AB (xA,tA)(xB,tB) (x'A,t'A)(x'B,t'B)

In our frame, event Aoccurs before event B, with temporal separation鈭�t=tA-tB=1.00渭sand spatial separation鈭�x=xB-xA=400m. Let be the temporal separation of the events according to Bullwinkle. (a) Find an expression for鈭�t'in terms of the speed parameter 尾=vcand the given data. Graph鈭�t'versus 尾for the following two ranges of尾:

(b) 0to0.01( vis low, from 0 to0.01c)

(c) 0.1 to 1 ( vis high, from to the limitc)

(d) At what value of 尾is 鈭�t'=0? For what range of 尾is the sequence of events Aand Baccording to Bullwinkle (e) the same as ours and (f) the reverse of ours? (g) Can event Acause event B, or vice versa? Explain

Reference frame S鈥� is to pass reference frame S at speed v along the common direction of the and x axes, as in Fig. 37-9. An observer who rides along with frame S鈥� is to count off a certain time interval on his wristwatch. The corresponding time interval 鈭�t is to be measured by an observer in frame S. Figure 37-22 gives 鈭�tversus speed parameter 尾for a range of values for . The vertical axis scale is set by ta 14.0 s. What is interval 鈭�t if v = 0.98c?

A spaceship is moving away from Earth at speed 0.20c. A source on the rear of the ship emits light at wavelength 450 nm according to someone on the ship. What (a) wavelength and (b) color (blue, green, yellow, or red) are detected by someone on Earth watching the ship?


The premise of the Planet of the Apes movies and books is that hibernating astronauts travel far into Earth鈥檚 future, to a time when human civilization has been replaced by an ape civilization. Considering only special relativity, determine how far into Earth鈥檚 future the astronauts would travel if they slept for 120 y while traveling relative to Earth with a speed of 0.9990c, first outward from Earth and then back again?

Observer Sreports that an even occurred on thexaxis of his reference frame at x=3.00脳108mat time t=2.50s. ObserverS'and her frame are moving in the positive direction of the xaxis at a speed of0.400c. Furtherx=x'=0att=t'=0. What are the (a) spatial and (b) temporal coordinate of the event according to S'? If S'were, instead, moving in the negative direction of thexaxis, what would be that (c) spatial and (d) temporal coordinate of the event according toS'?
See all solutions

Recommended explanations on Physics Textbooks

Electricity

Read Explanation

Geometrical and Physical Optics

Read Explanation

Physics of Motion

Read Explanation

Fundamentals of Physics

Read Explanation

Scientific Method Physics

Read Explanation

Further Mechanics and Thermal 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.