Explanation Given: Mass of Galaxy = 4×10 41 kg Mean distance from the center of Galaxy = 30000 light-years Formula Used: The period of Sun’s orbital motion about the center of the galaxy can be determined by using Kepler’s third law, T 2 = ( 4 π 2 G m g ) r 3 Where, G -gravitational constant r -mean distance m g -Mass of galaxy Calculation: Convert the distance light years to meters: r = 3×10 4 light years = 3×10 4 lightyears ( 9 .46×10 15 m 1 light year ) = 2 .84×10 20 m Substitute the known values and solve: T 2 = ( 4π 2 ( 6 .67×10 -11 N .m 2 /kg 2 ) ( 4×10 41 kg ) ) ( 2 .84×10 20 m ) 3 T= ( 4π 2 ( 6

7th Edition

ISBN: 9780321733627

Author: Douglas C. Giancoli

Publisher: PEARSON

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Chapter 5, Problem 61P

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Chapter 5, Problem 60P

Chapter 5, Problem 62P

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