Find study content
Learning Materials

Discover learning materials by subject, university or textbook.

Explanations

Textbooks

Exams
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

EXAM TYPES

GCSE

IGCSE

AS

A Level

International A Level

University Admissions Tests

GCSE SUBJECTS

GCSE 1

GCSE 2

GCSE 3

GCSE 4

GCSE 5

SOME-TEXT

IGCSE SUBJECTS

IGCSE 1

AS SUBJECTS

AS 1

A Level SUBJECTS

A Level 1

International A Level SUBJECTS

International A Level 1

University Admissions Tests SUBJECTS

University Admissions Tests 1
Features
Features

Discover all of these amazing features with a free account.

Flashcards

Vaia AI

Notes

Study Plans

Study Sets
What’s 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.
Resources
Discover

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

Find a job

Find a degree

Student Deals

Magazine

Mobile App
Featured

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

Job Board
The largest student job board with the most exciting opportunities.

Vaia Deals
Verified student deals from top brands.

Our App
Discover our mobile app to take your studies anywhere.

Go to App

Learning Materials

Features

Discover

Chapter 8: Q.9 (page 199)

Suppose the moon were held in its orbit not by gravity but by a massless cable attached to the center of the earth. What would be the tension in the cable? Use the table of astronomical data inside the back cover of the book

Short Answer

Expert verified

The tension in the cable is $F_{c} = 2.01 \times 10^{20} N$ .

Step by step solution

01

Given Information

From the table on the back cover of book Astronomical Data we can find that the value of the moon we needed.

m_{moon} = 7.36 \times 10^{22} kg

d_{from earth} = r = 3.84 \times 10^{8} km

period = t = 27.3 days = 2, 358, 720 s

02

Explanation

F_{c} = \frac{m v^{2}}{r}

F_{c} = \frac{m (r ω)^{2}}{r}

F_{c} = m r ω^{2}

F_{c} = m r {(\frac{2 π}{t})}^{2}

F_{c} = \frac{4 π^{2} m r}{t^{2}}

$F_{c} = \frac{4 π^{2} (7.36 \times 10^{22} kg) (3.84 \times 10^{8} km)}{(2, 358, 720 s)^{2}}$

F_{c} = 2.01 \times 10 N

03

Final Answer

The tension in the cable is $F_{c} = 2.01 \times 10 N$ .

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

A toy train rolls around a horizontal $1.0$ -m-diameter track. The coefficient of rolling friction is $0.10$ . How long does it take the train to stop if it’s released with an angular speed of $30$ rpm?

As a science fair project, you want to launch an $800 g$ model rocket straight up and hit a horizontally moving target as it passes $30 m$ above the launch point. The rocket engine provides a constant thrust of $15.0 N$ . The target is approaching at a speed of $15 m / s$ . At what horizontal distance between the target and the rocket should you launch?

If a vertical cylinder of water (or any other liquid) rotates about its axis, as shown in FIGURE CP8.71, the surface forms a smooth curve. Assuming that the water rotates as a unit (i.e., all the water rotates with the same angular velocity), show that the shape of the surface is a parabola described by the equation $z = (\frac{ω^{2}}{2 g}) r^{2}$

Hint: Each particle of water on the surface is subject to only two forces: gravity and the normal force due to the water underneath it. The normal force, as always, acts perpendicular to the surface.

A $2.0 k g$ projectile with initial velocity $\vec{v} = 8.0 \hat{ı} m / s$ experiences the variable force $\vec{F} = - 2.0 t \hat{l} + 4.0 t^{2} \hat{ȷ} N$ , where $t$ is in $s$ .

a. What is the projectile’s speed at $t = 2.0$ s?

b. At what instant of time is the projectile moving parallel to the $y -$ axis?

The weight of passengers on a roller coaster increases by $50 %$ as the car goes through a dip with a $30 m$ radius of curvature. What is the car’s speed at the bottom of the dip?

See all solutions

Recommended explanations on Physics Textbooks

Thermodynamics

Read Explanation

Scientific Method Physics

Read Explanation

Electrostatics

Read Explanation

Rotational Dynamics

Read Explanation

Turning Points in Physics

Read Explanation

Fluids

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