Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 36: Q. 17 (page 1059)

At what speed, as a fraction of c, would a round-trip astronaut “lose” 125 of the elapsed time shown on her watch?

Short Answer

Expert verified

At speed of 0.28c,a round-trip astronaut “lose”125 of the elapsed time shown on her watch.

Step by step solution

01

Given Information

We have given that the rate at which a round-trip astronaut loses 125of the time on her watch.

02

Simplify

We have: ∆t=γ∆t'.

Now, we use binomial approximation for γ:

localid="1649531467250" ∆t∆t'≈v22c2∆t∆t'=v22c2v2=2c2∆t∆t'v=c2∆t∆t'v=c2125v=0.28c

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

The star Alpha goes supernova. Ten years later and 100 ly away, as measured by astronomers in the galaxy, star Beta explodes.

a. Is it possible that the explosion of Alpha is in any way responsible for the explosion of Beta? Explain.

b. An alien spacecraft passing through the galaxy finds that the distance between the two explosions is 120 ly. According to the aliens, what is the time between the explosions?

You fly 5000kmacross the United States on an airliner at 250m/s.You return two days later at the same speed.

a. Have you aged more or less than your friends at home?

b. By how much?

Hint: Use the binomial approximation

A newspaper delivery boy is riding his bicycle down the street at 5.0m/s. He can throw a paper at a speed of 8.0m/s. What

is the paper’s speed relative to the ground if he throws the paper (a) forward, (b) backward, and (c) to the side?

The quantity dE/dv, the rate of increase of energy with speed, is the amount of additional energy a moving object needs per 1m/sincrease in speed.

a. A25,000kgkg truck is traveling at 30m/s. How much additional energy is needed to increase its speed by 1m/s?

b. A25,000kg rocket is traveling atrole="math" localid="1649677033976" 0.90c. How much additional energy is needed to increase its speed by1m/s?

Your job is to synchronize the clocks in a reference frame. You are going to do so by flashing a light at the origin at t=0s. To what time should the clock at (x,y,z)=(30m,40m,0m) be preset?
See all solutions

Recommended explanations on Physics Textbooks

Force

Read Explanation

Energy Physics

Read Explanation

Radiation

Read Explanation

Medical Physics

Read Explanation

Wave Optics

Read Explanation

Modern 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.

Sign-up for free