/*! 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} Q21P Certain neutron stars (extremely... [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 13: Q21P (page 380)

Certain neutron stars (extremely dense stars) are believed to be rotating at about $1 rev / s$ . If such a star has a radius of $20 鈥塳尘$ , what must be its minimum mass so that material on its surface remains in place during the rapid rotation?

Short Answer

Expert verified

Mass of the material on the surface of the neutron star is $5 脳 10^{24} 鈥刱驳$

Step by step solution

01

The given data

1) Frequency of rotation of neutron star is

$f = 1 \frac{r e v}{s}$

2)Radius of neutron star is $R = 20000 鈥刴$

02

Understanding the concept of Differential acceleration equation

We use the acceleration difference equation to find the mass of the material on the surface of the neutron star.

Formula:

Acceleration difference equation due to revolution, $g = a_{g} 鈭� 蝇^{2} R$ ... (i)

03

Calculation of the mass of the material

From equation (i), we can get

$a_{g} = \frac{G M}{R^{2}}$

To stay stationary on the surface of the neutron star, forces should be balanced so that, g= 0.

Hence substituting g=0 in equation (i), we get

$\begin{matrix} 0 = \frac{G M}{R^{2}} 鈭� 蝇^{2} R \\ \frac{G M}{R^{2}} = 蝇^{2} R \\ M = \frac{蝇^{2} R^{3}}{G} \end{matrix}$

Substituting the values of $蝇 = 2 蟺 f 补苍诲鈥� R = 20000 鈥刴$ we get,

$\begin{matrix} M = \frac{{(2 蟺脳 1 鈥夆赌� \frac{rev}{s})}^{2} {(20000 鈥夆赌塵)}^{3}}{6.67 脳 10^{鈭� 11} {鈥夆赌塏m}^{2} {/kg}^{2}} \\ = 4.7 脳 10^{24} \\ 鈮� 5 脳 10^{24} 鈥刱驳 \end{matrix}$

The mass of the material on the neutron star should be $5 脳 10^{24} 鈥刱驳$ .

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

The Sun鈥檚 center is at one focus of Earth鈥檚 orbit. How far from this focus is the other focus,

(a) in meters and

(b) in terms of the solar radius, ${6.96脳10}^{8} m$ ? The eccentricity is $0.0167$ , and the semimajor axis is ${1.50脳10}^{11} m$ .

In the figure, three 5.00kgspheres are located at distances $d_{1}$ =0.300 mand $d_{2}$ =0.400 m. What are the (a) magnitude and (b) direction (relative to the positive direction of thexaxis) of the net gravitational force on sphereBdue to spheresAandC?

In Figure (a), particleAis fixed in place at $x = - 0.20 m$ on thexaxis and particleB, with a mass of 1.0 kg, is fixed in place at the origin. ParticleC(not shown) can be moved along thexaxis, between particleBand $x = 鈭�$ .Figure (b)shows thexcomponent $F_{net, x}$ of the net gravitational force on particleBdue to particlesAandC, as a function of positionxof particleC. The plot actually extends to the right, approaching an asymptote of $鈭� 4 .17 脳 10^{10} N$ as $鈫� 鈭�$ . What are the masses of (a) particleAand (b) particleC?

A satellite, moving in an elliptical orbit, is $360km$ above Earth鈥檚 surface at its farthest point and $180km$ above at its closest point.

Calculate (a) the semimajor axis and

(b) the eccentricity of the orbit.

Mountain pulls.A large mountain can slightly affectthe direction of 鈥渄own鈥� as determined by a plumb line. Assumethat we can model a mountain as a sphere of radius $R = 2.00 km$ and density (mass per unit volume). $2.6 脳 10^{3} kg / m^{3}$ Assume alsothat we hang a 0.50mplumb line at a distance offrom the sphere鈥檚 centre and such that the sphere pulls horizontally on thelower end. How far would the lower end move toward the sphere?

See all solutions

Recommended explanations on Physics Textbooks

Electrostatics

Read Explanation

Modern Physics

Read Explanation

Famous Physicists

Read Explanation

Fields in Physics

Read Explanation

Atoms and Radioactivity

Read Explanation

Torque and Rotational Motion

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.