The Earth's atmosphere is composed of about 78 percent nitrogen, 21 percent oxygen, 0.9 percent argon, and 0.1 percent other gasses. To find out why these gasses are "trapped" in the earth's atmosphere, consider a projectile with mass m that is about to launch vertically upward from earth. e. Ignore air resistance, show that the projectile can only escape the magnetie pull of the earth if it is launched vertically upward with a kinetic energy greater than mgRearth, where g= 9.80 m/s? and the earth's radius Rearth = 6378 km. f. Compute the temperature required by a nitrogen molecule (molar mass 28.0 g/mol) and an oxygen molecule (molar mass 32 g/mol) to achieve the average translational kinetie energy required to escape earth? g. Repeat part (b) for the moon, for which g = 1.63 m/s² and Rmoon = 1740 km. h. Present your conclusion on the atmosphere of earth and moon based on the results from parts (b) and (c).

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The Earth's atmosphere is composed of about 78 percent nitrogen, 21 percent oxygen, 0.9
percent argon, and 0.1 percent other gasses. To find out why these gasses are "trapped" in the
earth's atmosphere, consider a projectile with mass m that is about to launch vertically upward
from earth.
e. Ignore air resistance, show that the projectile can only escape the magnetie pull of the
earth if it is launched vertically upward with a kinetic energy greater than mgRearth, where
g = 9.80 m/s? and the earth's radius Rearth = 6378 km.
f. Compute the temperature required by a nitrogen molecule (molar mass 28.0 g/mol) and
an oxygen molecule (molar mass 32 g/mol) to achieve the average translational kinetie
energy required to escape earth?
g. Repeat part (b) for the moon, for which g = 1.63 m/s? and Rmoon = 1740 km.
h. Present your conclusion on the atmosphere of earth and moon based on the results from
parts (b) and (c).
Transcribed Image Text:The Earth's atmosphere is composed of about 78 percent nitrogen, 21 percent oxygen, 0.9 percent argon, and 0.1 percent other gasses. To find out why these gasses are "trapped" in the earth's atmosphere, consider a projectile with mass m that is about to launch vertically upward from earth. e. Ignore air resistance, show that the projectile can only escape the magnetie pull of the earth if it is launched vertically upward with a kinetic energy greater than mgRearth, where g = 9.80 m/s? and the earth's radius Rearth = 6378 km. f. Compute the temperature required by a nitrogen molecule (molar mass 28.0 g/mol) and an oxygen molecule (molar mass 32 g/mol) to achieve the average translational kinetie energy required to escape earth? g. Repeat part (b) for the moon, for which g = 1.63 m/s? and Rmoon = 1740 km. h. Present your conclusion on the atmosphere of earth and moon based on the results from parts (b) and (c).
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