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Unformatted text preview: − 3 × 10 10 J. The orbit is an ellipse with apogee distance r 2 equal to 3 times the perigee distance r 1 . {All answers are numerical.] a. What is the potential energy at perigee? [Relate r 1 to a and use the general formulas for E and U .] b. What is its kinetic energy at perigee? c. What is the kinetic energy at apogee? a. Since 2 a = 4 r 1 we have GMm 4 r 1 = 3 × 10 10 J. The potential energy at perigee is U ( r 1 ) = − GMm r 1 = 4 E = − 12 × 10 10 J. b. K ( r 1 ) = E − U ( r 1 ) = 9 × 10 10 J. c. Since U ( r 2 ) = − GMm r 2 = − GMm 3 r 1 = 1 3 U ( r 1 ) = − 4 × 10 10 J, we have K ( r 2 ) = E − U ( r 2 ) = 1 × 10 10 J. [Can also use v ( r 1 ) = 3 v ( r 2 ) .] Physics 53 Summer 2010 2...
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This note was uploaded on 10/19/2011 for the course PHYSICS 53L taught by Professor Mueller during the Spring '07 term at Duke.
 Spring '07
 Mueller
 Physics, Orbits

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