Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 37: 11P (page 1116)

A rod lies parallel to the x axis of the reference frame S, moving along this axis at a speed of 0.630c. Its rest length is 1.70 m. What will be its measured length in frame S ?

Short Answer

Expert verified

The measured length in frame S is 1.32m.

Step by step solution

01

The relativistic formula

According to the relativistic formula, the length of the object measured another frame is l=l01-v2c2 . Here, l0 is the length of the object lies parallel to the x axis of reference of other frame and v is the velocity of the object.

02

Use the formula 

Here, the velocity of the rod along the axis of reference frame S is v=0.630c. The length of the rod at rest is l0=70.

So, the measured length in the frame S can be calculated as follows:

l=l01-v2c2l=1.701-0.630c2c2l=1.701-0.632l=1.32

Thus, the measured length in the frame S is1.32m .

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

You wish to make a round trip from Earth in a spaceship, traveling at constant speed in a straight line for exactly 6 months (as you measure the time interval) and then returning at the same constant speed. You wish further, on your return, to find Earth as it will be exactly 1000 years in the future. (a) To eight significant figures, at what speed parameter βmust you travel? (b) Does it matter whether you travel in a straight line on your journey?

A spaceship whose rest length is 350 m has a speed of 0.82c with respect to a certain reference frame. A micrometeorite, also with a speed of 0.82c in this frame, passes the spaceship on an antiparallel track. How long does it take this object to pass the ship as measured on the ship?

A spaceship, moving away from Earth at a speed of 0.900c, reports back by transmitting at a frequency (measured in the spaceship frame) of 100 MHz. To what frequency must Earth receivers be tuned to receive the report?

Spatial separation between two events. For the passing reference frames of Fig. 37-25, events A and B occur with the following spacetime coordinates: according to the unprimed frame,(xA,tA)and role="math" localid="1663045013644" (xB,tB)according to the primed frame,(x'A,t'A) androle="math" localid="1663045027721" (x'B,t'B). In the umprimed frameΔt=tB−tA=1.00 μsandrole="math" localid="1663045143133" Δx=xB−xA=240 m.(a) Find an expression forin Δx'terms of the speed parameterβand the given data. GraphΔx'versusβfor two ranges ofβ: (b)0 to0.01and (c)0.1to 1. (d) At what value ofβisΔx'=0?

Assuming that Eq. 37-36 holds, find how fast you would have to go through a red light to have it appear green. Take 620 nm as the wavelength of red light and 540 nm as the wavelength of green light.
See all solutions

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Read Explanation

Work Energy and Power

Read Explanation

Classical Mechanics

Read Explanation

Famous Physicists

Read Explanation

Kinematics Physics

Read Explanation

Mechanics and Materials

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