(a) Show that a projectile with mass m can escape from the surface of a planet if...
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(b) If the planet in question is the earth, at what temperature does the average translational kinetic energy of a nitrogen molecule (molar mass 28.0 g/mol) equal that required to escape? What about a hydrogen molecule (molarmass2.02gfmol)?
(c) Repeat part (b) for the moon, for which g = 1.63 m/s2 and R0 = 1740 km.
(d) While the earth and the moon have similar average surface temperatures, the moon has essentially no atmosphere. Use your results from parts (b) and (c) to explain why.
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a IDENTIFY and SET UP Apply conservation of energy K U Wh KU where UGmm r Let point 1 be at the surf...View the full answer
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