At sea level, a nitrogen molecule in the air has an average kinetic energy of 6.2 · 10-21 J. Its mass is 4.7·10-26 kg. If the molecule could shoot straight up without colliding with other molecules, how high would it rise? What percentage of the Earths radius is this height? What is the molecule’s initial speed? (Assume that you can use g = 9.81 m/s2; although we’ll see in Chapter 12 that this assumption may not be justified for this situation.)
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