(a) Use this model to predict the average density of the entire Earth. (b) If the radius of the Earth is 6380 km and its mass is 5.98 x 1024 kg, determine the actual average density of the Earth and compare it (as a percent difference) with the one you determined in (a).

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
**Earth's Density Model Analysis**

The Earth is not a uniform sphere; it consists of regions with varying density. A simplified model of the Earth divides it into three regions—inner core, outer core, and mantle. Each region is assumed to have a unique constant density that reflects the average density of that region in the real Earth:

| **Region**    | **Radius (km)** | **Density (kg/m³)** |
|---------------|-----------------|---------------------|
| Inner Core    | 0–1220          | 13,000              |
| Outer Core    | 1220–3480       | 11,100              |
| Mantle        | 3480–6380       | 4400                |

**Exercises:**

**(a)** Use this model to predict the average density of the entire Earth.

**(b)** Given that the Earth's radius is 6380 km and its mass is \(5.98 \times 10^{24}\) kg, calculate the actual average density of the Earth and compare it (as a percent difference) with the density you determined in part (a).
Transcribed Image Text:**Earth's Density Model Analysis** The Earth is not a uniform sphere; it consists of regions with varying density. A simplified model of the Earth divides it into three regions—inner core, outer core, and mantle. Each region is assumed to have a unique constant density that reflects the average density of that region in the real Earth: | **Region** | **Radius (km)** | **Density (kg/m³)** | |---------------|-----------------|---------------------| | Inner Core | 0–1220 | 13,000 | | Outer Core | 1220–3480 | 11,100 | | Mantle | 3480–6380 | 4400 | **Exercises:** **(a)** Use this model to predict the average density of the entire Earth. **(b)** Given that the Earth's radius is 6380 km and its mass is \(5.98 \times 10^{24}\) kg, calculate the actual average density of the Earth and compare it (as a percent difference) with the density you determined in part (a).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Unit conversion
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON