16-9. Show that the escape velocity from a planet's surface is given by v = (2gR)/2 where g is the gravitational constant and R the radius of the planet. Given that the gravita- tional constant of the earth is 980 cm/sec2 and the radius is 6.4 x 108 cm, calculate the raction of hydrogen, helium, nitrogen, and oxygen molecules having velocities exceeding he escape velocity.

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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16-9. Show that the escape velocity from a planet's surface is given by
v = (2gR)'/2
where g is the gravitational constant and R the radius of the planet. Given that the gravita-
tional constant of the earth is 980 cm/sec² and the radius is 6.4 × 10 cm, calculate the
fraction of hydrogen, helium, nitrogen, and oxygen molecules having velocities exceeding
the escape velocity.
Transcribed Image Text:16-9. Show that the escape velocity from a planet's surface is given by v = (2gR)'/2 where g is the gravitational constant and R the radius of the planet. Given that the gravita- tional constant of the earth is 980 cm/sec² and the radius is 6.4 × 10 cm, calculate the fraction of hydrogen, helium, nitrogen, and oxygen molecules having velocities exceeding the escape velocity.
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