/*! 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} Q. 16 a. At what speed, as a fraction ... [FREE SOLUTION] | 91影视

91影视

Find study content
Learning Materials

Discover learning materials by subject, university or textbook.

Explanations

Textbooks
All Subjects

Anthropology

Archaeology

Architecture

Art and Design

Bengali

Biology

Business Studies

Greek

Chemistry

Chinese

Combined Science

Computer Science

Economics

Engineering

English

English Literature

Environmental Science

French

Geography

German

History

Hospitality and Tourism

Human Geography

Italian

Japanese

Law

Macroeconomics

Marketing

Math

Media Studies

Medicine

Microeconomics

Music

Nursing

Nutrition and Food Science

Physics

Polish

Politics

Psychology

Religious Studies

Sociology

Spanish

Sports Sciences

Translation

All Subjects

Biology

Business Studies

Chemistry

Combined Science

Computer Science

Economics

English

Environmental Science

Geography

History

Math

Physics

Psychology

Sociology
Features
Features

Discover all of these amazing features with a free account.

Flashcards

91影视 AI

Notes

Study Plans

Study Sets
What鈥檚 new?

Flashcards
Study your flashcards with three learning modes.

Study Sets
All of your learning materials stored in one place.

Notes
Create and edit notes or documents.

Study Plans
Organise your studies and prepare for exams.
91影视
Discover

All the hacks around your studies and career - in one place.

Find a degree

Magazine
Featured

Magazine
Trusted advice for anyone who wants to ace their studies & career.

The largest student job board with the most exciting opportunities.

Verified student deals from top brands.

Discover our mobile app to take your studies anywhere.

Learning Materials

Features

Discover

Chapter 36: Q. 16 (page 1059)

a. At what speed, as a fraction of $c,$ must a rocket travel on a journey to and from a distant star so that the astronauts age $10$ years while the Mission Control workers on earth age $120$ years?
b. As measured by Mission Control, how far away is the distant star?

Short Answer

Expert verified

$a .) v = 0.9965 c b .) 鈭� x = 119.58 l y$

Step by step solution

01

Part (a) Step 1: Given Information

We have given that,

鈭� 蟿 = 10 years 鈭� t = 120 years

02

Part (a) Step 2: Simplify

We have to find speed $v,$ as a fraction of $c,$ must a rocket move on a journey.

$鈭� t = \frac{鈭� 蟿}{\sqrt{1 - 尾^{2}}} 鈭� t = \frac{1}{\sqrt{1 - 尾^{2}}} \frac{120}{10} = \frac{1}{\sqrt{1 - {(\frac{v}{c})}^{2}}} (Substitutevaluesinequation.) 12 = \frac{1}{\sqrt{1 - {(\frac{v}{c})}^{2}}}$

$1 - {(\frac{v}{c})}^{2} = {(\frac{1}{12})}^{2} {(\frac{v}{c})}^{2} = 1 - {(\frac{1}{12})}^{2} \frac{v}{c} = \sqrt{1 - {(\frac{1}{12})}^{2}} v = \sqrt{1 - {(\frac{1}{12})}^{2} c} v = 0.9965 c$

03

Part (b) Step 1: Given Information

We have given that,

鈭� 蟿 = 10 years 鈭� t = 120 years

04

Part (b) Step 2: Simplify

We need to figure out how far away the distant star is.

$鈭� x = v 鈭� t 鈭� x = 0.9965 c 脳 (120 y) (Substitutevaluesinequation.) 鈭� x = 0.9965 \frac{l y}{y} 脳 (120 y) 鈭� x = 119.58 l y$

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

Firecrackers A and B are $600 m$ apart. You are standing exactly halfway between them. Your lab partner is $300 m$ on the other side of firecracker A. You see two flashes of light, from the two explosions, at exactly the same instant of time. Define event 1 to be 鈥渇irecracker A explodes鈥� and event 2 to be 鈥渇irecracker B explodes.鈥� According to your lab partner, based on measurements he or she makes, does event 1 occur before, after, or at the same time as event 2? Explain

Let鈥檚 examine whether or not the law of conservation of momentum is true in all reference frames if we use the Newtonian definition of momentum: $p_{x} = {mu}_{x}$ . Consider an object A of mass 3m at rest in reference frame S. Object A explodes into two pieces: object B, of mass m, that is shot to the left at a speed of c/2 and object C, of mass 2m, that, to conserve momentum, is shot to the right at a speed of c/4. Suppose this explosion is observed in reference frame S鈥� that is moving to the right at half the speed of light.

a. Use the Lorentz velocity transformation to find the velocity and the Newtonian momentum of A in S鈥�.

b. Use the Lorentz velocity transformation to find the velocities and the Newtonian momenta of B and C in S鈥�.

c. What is the total final momentum in S鈥�?

d. Newtonian momentum was conserved in frame S. Is it conserved in frame S鈥�?

FIGURE Q36.1 shows two balls. What are the speed and direction of each (a) in a reference frame that moves with ball 1 and (b) in a reference frame that moves with ball 2?

A $1.0 g$ particle has momentum $400, 000 k g m / s$ . What is the particle鈥檚 speed in m/s?

At what speed, as a fraction of $c,$ would a round-trip astronaut 鈥渓ose鈥� $\frac{1}{25}$ of the elapsed time shown on her watch?

See all solutions

Recommended explanations on Physics Textbooks

Translational Dynamics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Rotational Dynamics

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Geometrical and Physical Optics

Read Explanation

Fundamentals of 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.