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AS101 (233)
Lecture 19

# AS101 Lecture 19

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School
Wilfrid Laurier University
Department
Astronomy
Course
AS101
Professor
Patrick Mc Graw
Semester
Winter

Description
Lecture 19 4/10/2013 1:02:00 PM Jovian Planets and their moons, Part II An example to illustrate tidal force:  Imagine two pieces of rock, each with a mass of 10 kg. One of 9 them is at 10 m from Saturn (about the same distance as Titan) and the other is 5000km = 5x10 m farther out, so at 1.005x10 m. What gravitational force does Saturn exert on each one? 26  Saturn's mass is about 5.68x10 kg  Use Newton's law of universal gravitation: M M1 2 F= G r2   For the first rock: 26 6 M M1 2 − 115.68× 10 )(10 ) 4 F= G 2 = 6.67× 10 9 2 = 3.79× 10 N o r (10 )  For the second rock: M M 26 6 F= G 1 2 = 6.67× 10 − 11(5.68× 10 )(10 ) = 3.75×10 N 4 r 2 (1.005× 10 )9 2 o  difference = 400 N Lo:  Elsewhere in the solar system, small objects (like the planet Mercury) lose their internal heat quickly after they formed, and so geological activity (volcanism, etc.) stopped long ago.  But some of the satellites around Jovian planets are still being heated by tidal stresses.  Io is the closest
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