"How much does all the air in the world weigh?" Calculate the mass of Earth's atmosphere using the irrelevant space integral. p(r) = poe- e-c(r-R) (Hint: Density is shape when r R.Here R = 6370 km, po : 1.225 kg/m³ and c = (In 10)/(17 km); the density drops to one-tenth in the 17 km distance. Integrals can be calculated with a suitable program.) (Answer: 5.10¹8 kg, or about 10 of the Earth's mass.) -4%

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"How much does all the air in the world weigh?"
Calculate the mass of Earth's atmosphere using the irrelevant space integral.
(Hint: Density is shape P(r) = Poe-c(r-R)
1.225 kg/m³ and c = (In 10)/(17 km); the density drops to one-tenth in the 17 km
distance. Integrals can be calculated with a suitable program.)
(Answer: 5.10¹8 kg, or about 10-4% of the Earth's mass.)
when r≥ R.Here R
=
6370 km, po =
Transcribed Image Text:"How much does all the air in the world weigh?" Calculate the mass of Earth's atmosphere using the irrelevant space integral. (Hint: Density is shape P(r) = Poe-c(r-R) 1.225 kg/m³ and c = (In 10)/(17 km); the density drops to one-tenth in the 17 km distance. Integrals can be calculated with a suitable program.) (Answer: 5.10¹8 kg, or about 10-4% of the Earth's mass.) when r≥ R.Here R = 6370 km, po =
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