30-gravitation II

30-gravitation II - Phys 211 Chapter 13 Gravitation Review...

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Phys 211 4/8/09 Chapter 13 Gravitation
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Review Kepler’s First Law: All planets move on elliptical orbits with the Sun at one focus. Kepler’s Second Law: The line that connects a planet to the Sun sweeps out equal areas in equal time. (Conservation of angular momentum.) Kepler’s Third Law: The square of the period of any planet is proportional to the cube of the semi-major axis of its orbit. T 2 R 3 = const F = G m 1 m 2 r 2 ˆ r Newton’s Law of Gravitation:
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Symmetry and Superposition Find the net gravitational force on m 1 . F 1 NET = F 12 + F 13 + F 14 + F 15 F 1 NET = 2 F 13 cos( θ ) F 1 NET = 2 G m 1 m 3 a 2 cos( ) F 12 and F 12 cancel out F 13x and F 15x cancel out
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Checkpoint 2 The fgure has three arrangements oF particles oF equal mass. Rank the arrangements according to the magnitude oF the net gravitational Force on the particle labelled “m”, greatest frst.
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Extended Objects Shells: m 1 m 2 r F 1 Outside the shell, the force is the same as if all
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This note was uploaded on 10/03/2011 for the course PHYS 211 taught by Professor Pettie during the Spring '08 term at South Carolina.

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30-gravitation II - Phys 211 Chapter 13 Gravitation Review...

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