29 An experimenter arranges to trigger two flashbulbs simulta-neously, producing a big flash located at the origin of his referenceframe and a small flash at x = 30.0 km. An observer moving at aspeed of 0.707c in the positive direction of x also views the flashes.(a) What is the time interval between them according to her?(b) Which flash does she say occurs first?

Answered: 29 An experimenter arranges to trigger…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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29 An experimenter arranges to trigger two flashbulbs simulta-
neously, producing a big flash located at the origin of his reference
frame and a small flash at x = 30.0 km. An observer moving at a
speed of 0.707c in the positive direction of x also views the flashes.
(a) What is the time interval between them according to her?
(b) Which flash does she say occurs first?

Expert Solution

Step 1: Given Data and Conceptual Introduction

Two flashbulbs are triggered simultaneously in the reference frame of the experimenter.

$\begin{aligned} Big flash at the origin: & x_{0} = 0 \\ Small flash at & x = 30.0 km or 3.0 \times 10^{7} m \\ Observer's speed: & v = 0.707 c, where c is the speed of light. \end{aligned}$

The theory of relativity tells us that two events that are simultaneous in one reference frame might not be simultaneous in another moving reference frame.

The time difference between such events in a moving frame can be found using the Lorentz transformation.

We would use this to calculate the time difference perceived by the moving observer.

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