(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 man- tle. 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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(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 man-
tle. 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:(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 man- tle. 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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