HW Chapter 8

HW Chapter 8 - PHYS4102 HOMEWORK CHAPTER 8 Assigned...

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PHYS4102 HOMEWORK CHAPTER 8 Assigned Thursday, Feb 24; Due Tuesday, March 8, by 5:00 PM Problem 1. Taylor 8.13 Problem 2. Taylor 8.27 Problem 3. (a) By some magical process, the Sun suddenly loses half of its mass. What is the shape of Earth’s new orbit, and if bounded, what is the period? (b) By some magical process, the Sun’s mass suddenly doubles. What is the shape of Earth’s new orbit, and if bounded, what is the period? Problem 4. A particle moves under the action of a central force in a spi- ral described by r = Ae . Show that the force acting on it is inversely proportional to the cube of r. Problem 5. Consider a binary star system. (a) Show that Kepler’s third law can be written as a 3 = τ 2 ( M 1 + M 2 ) where a is in AU (astronomical units), τ is in earth years, and M 1 + M 2 is the sum the masses of the stars in units of solar masses. (Hint: In this problem we cannot assume one of the masses is much greater than the other; consider how this approximation can be exorcised from the derivations of Kepler’s laws as done in the text.) (b) An astronomer determines that the period of this system is 32 years and
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This note was uploaded on 12/10/2011 for the course PHYS 4102 taught by Professor Fertig during the Spring '11 term at UGA.

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HW Chapter 8 - PHYS4102 HOMEWORK CHAPTER 8 Assigned...

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