Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
bartleby

Videos

Question
Book Icon
Chapter 1, Problem 51GP
To determine

The volume of the moon.

Also, the number of moons needed to create a volume equal to the volume of Earth.

Expert Solution & Answer
Check Mark

Answer to Problem 51GP

Volume of the moon is 2.2×1019m3 and about 49 moons are required to create a volume equal to that of the Earth.

Explanation of Solution

Given:

The diameter of the moon = 3480 km.

Formula used:

The volume of sphere is

  V=43πr3

Where, r is the radius of the sphere.

Calculation

The moon is considered to be a sphere.

Diameter of the moon = 3480 km.

Radius of the moon is,

  r=34802km1740 km =1,740,000 m

Therefore, the volume of the moon is

  V=43πr3=43×π×17400003=2.2×1019m3

The radius of the Earth is 6371 km.

Therefore, the volume of Earth is,

  V=43πr3=43×π×63710003m3

To calculate the number moons required, divide the volume of the Earth by the volume of the moon.

So,

  N=43×π×6371000343×π×17400003=49.08

Conclusion:

Therefore, volume of Moon is V=2.2×1019m3

Also, 49 moons would be required to create a volume equal to that of the Earth.

Chapter 1 Solutions

Physics: Principles with Applications

Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY