/*! 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} 6P Reference frame S鈥� is to pass ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 37: 6P (page 1145)

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?

Short Answer

Expert verified

The time interval for observer is 40s.

Step by step solution

01

Identification of given data

The speed of reference frame S鈥� is v=0.98c

The duration for the reference frame S鈥� is t=8s

The time dilation is used to find the duration for particle before decay from detector.

02

Determination of time interval for observer

The time interval for observer is given as:

鈭�t=t1-vc2

Here, cis the speed of light and its value is 3脳108m/s.

Substitute all the values in equation.

鈭�t=8s1-0.98cc2鈭�t=40s

Therefore, the time interval for observer is 40 s .

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

Question:The mass of a muon is 207 times the electron mass; the average lifetime of muons at rest is 2.20渭s. In a certain experiment, muons moving through a laboratory are measured to have an average lifetime of 6.90渭s. For the moving muons, what are (a) 尾 , (b) K, and (c) p (in MeV/c)?

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?

Particle A (with rest energy 200 MeV) is at rest in a lab frame when it decays to particle B (rest energy 100 MeV) and particle C (rest energy 50 MeV). What are the (a) total energy and (b) momentum of B and the (c) total energy and (d) momentum of C?

The car-in-the-garage problem. Carman has just purchased the world鈥檚 longest stretch limo, which has a proper length of Lc=30.5鈥尘. In Fig. 37-32a, it is shown parked in front of a garage with a proper length of Lg=6.00鈥尘. The garage has a front door (shown open) and a back door (shown closed).The limo is obviously longer than the garage. Still, Garageman, who owns the garage and knows something about relativistic length contraction, makes a bet with Carman that the limo can fit in the garage with both doors closed. Carman, who dropped his physics course before reaching special relativity, says such a thing, even in principle, is impossible.

To analyze Garageman鈥檚 scheme, an xc axis is attached to the limo, with xc=0 at the rear bumper, and an xg axis is attached to the garage, with xg=0 at the (now open) front door. Then Carman is to drive the limo directly toward the front door at a velocity of 0.9980c(which is, of course, both technically and financially impossible). Carman is stationary in the xcreference frame; Garageman is stationary in the role="math" localid="1663064422721" Xgreference frame.

There are two events to consider. Event 1: When the rear bumper clears the front door, the front door is closed. Let the time of this event be zero to both Carman and Garageman: tg1=tc1=0. The event occurs at xg=xc=0. Figure 37-32b shows event 1 according to the xg reference frame. Event 2: When the front bumper reaches the back door, that door opens. Figure 37-32c shows event 2 according to the xg reference frame.

According to Garageman, (a) what is the length of the limo, and what are the spacetime coordinates (b) xg2 and (c) tg2 of event 2? (d) For how long is the limo temporarily 鈥渢rapped鈥� inside the garage with both doors shut? Now consider the situation from the xc reference frame, in which the garage comes racing past the limo at a velocity of 鈭�0.9980c. According to Carman, (e) what is the length of the passing garage, what are the spacetime coordinates (f) Xc2and (g) tc2 of event 2, (h) is the limo ever in the garage with both doors shut, and (i) which event occurs first? (j) Sketch events 1 and 2 as seen by Carman. (k) Are the events causally related; that is, does one of them cause the other? (l) Finally, who wins the bet?

In fig. 37-9, the origins of the two frames coincide at t=t'=0 and the relative speed is 0.950c. Two micrometeorites collide at coordinates x=100km and t=200渭s according to an observer in frame S. What are the (a) spatial and (b) temporal coordinate of the collision according to an observer in frame S' ?
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Dynamics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Oscillations

Read Explanation

Physics of Motion

Read Explanation

Linear Momentum

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.