(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
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Author:Raymond A. Serway, Chris Vuille
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Chapter9: Fluids And Solids
Section: Chapter Questions
Problem 78AP
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7. (III) The Earth is not a uniform sphere, but has regions of varying
density. Consider a simple model of the Earth divided into three
regions-inner core, outer core, and mantle. Each region is
taken to have a unique constant density (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
(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 × 1024 kg, determine the actual average density of the Earth
and compare it (as a percent difference) with the one you
determined in (a).
Transcribed Image Text:7. (III) The Earth is not a uniform sphere, but has regions of varying density. Consider a simple model of the Earth divided into three regions-inner core, outer core, and mantle. Each region is taken to have a unique constant density (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 (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 × 1024 kg, determine the actual average density of the Earth and compare it (as a percent difference) with the one you determined in (a).
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