A model for the density of the earths atmosphere near its surface is = 619.09

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A model for the density δ of the earth’s atmosphere near its surface is δ = 619.09 - 0.000097p where  (the distance from the center of the earth) is measured in meters and δ is measured in kilograms per cubic meter. If we take the surface of the earth to be a sphere with radius 6370 km, then this model is a reasonable one for 6.370 X 106 < p < 6.375 x 106. Use this model to estimate the mass of the atmosphere between the ground and an altitude of 5 km.

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