Understanding Our Universe
Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 9, Problem 36QAP

(a)

To determine

The escape velocity at Io’s surface.

(b)

To determine

The escape velocity at Io’s surface compared with the vent velocity from Io’s volcanoes.

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Titan has a radius of 2500.0 km and a mass of 1.1 × 1023 kg. What is the escape velocity in km/s from Titan's exosphere, which begins at about 1400 km above the surface? The gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2.
Jupiter's moon, Io, loses about 1070.0 kg/s of sulfur dioxide to Jupiter's magnetosphere. Sulfur dioxide currently makes up 0.9 % of Io's mass. How long in years until Io runs out of sulfur dioxide at the current loss rate? Io has a mass of 1 × 1023 kg and there are 3.15 × 107 seconds in a year. incorrect
Titan's exosphere has a temperature of about 218 K. What is the thermal speed of hydrogen (in km/s) in Titan's exosphere? The mass of a hydrogen atom is 1.67 × 10-27 kg and Boltzmann's constant is k = 1.38 × 10-23 Joule/Kelvin.
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