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The Density of the Earth Using the known radius of the Earth and that g = 9.80 m/s2 at the Earth's surface, find the average density of the Earth. SOLUTION Conceptualize Assume the Earth is a perfect sphere. The density of material in the Earth varies, but let's adopt a simplified model in which we assume the density to be uniform throughout the Earth. The resulting density is the average of the Earth. Categorize This example is a relatively simple problem. Using the equation mg = G MEm RE2 , solve for the mass of the Earth. (Use the following as necessary: g, G, m, and RE.) ME = Substitute this mass and the volume of a sphere into the definition of density. (Use the following as necessary: g, G, and RE. Enter the final calculated value in kg/m3.) rhoE = ME VE = gRE2 G 4 3 πRE3 = 3g = kg/m3 EXERCISE Imagine that we discovered a planet that has gravity at its surface 3.7 times that on Earth's surface, while its radius is 4.80 ✕ 107 m. Determine the average density of the planet (in kg/m
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The Density of the Earth Using the known radius of the Earth and that g = 9.80 m/s2 at the Earth's s...
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