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# What is the ratio of the gravitational pull of the sun on ISBN: 9780321675460 31

## Solution for problem 1E Chapter 13

University Physics | 13th Edition

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Problem 1E

What is the ratio of the gravitational pull of the sun on the moon to that of the earth on the moon? (Assume the distance of the moon from the sun can be approximated by the distance of the earth from the sun.) Use the data in Appendix F. Is it more accurate to say that the moon orbits the earth, or that the moon orbits the sun?

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Solution 1E Gm 1 2 The expression for gravitational force between two objects is given by F = r 2 …..(1), where m 1 and m 2 are the masses of the objects, G is the gravitational constant and ris the separation between the particles. From the Appendix F, Mass of the sun m = s.99 × 10 30kg Mass of the moon m m = 7.35 × 10 22kg 24 Mass of the earth m =e5.97 × 10 kg 11 Distance between the sun and the moon r = 1.10 × 10 m (earth’s orbit radius) 8 Distance between the earth and the moon r = 3284 × 10 m ( moon’s orbit radius) 11 2 2 Gravitational constant G = 6.67 × 10 N.m /kg Gravitational pull of the sun on the moon, Gm s m F 1 = 2 r1 6.67×1011N.m /kg ×1.99×1030kg×7.35×1022kg F 1 = (1.50×101) m 2 19 F 1 = 43.4 × 10 N 20 F 1 = 4.34 × 10 N …..(1) Gravitational pull of the earth on the moon, Gm e m F 2 = 2 r2 6.67×101N.m /kg ×5.97×10 24kg×7.35×1022kg F 2 = 8 2 2 (3.84×10 ) m F = 19.84 × 10 19 N 2 F = 1.98 × 10 20N …..(2) 2 Dividing equation (1) by equation (2), F1 4.34×100N F 2= 1.98×100N F 1 = 2.19 F 2 Therefore, the required ratio is 2.19. The moon orbits the earth.

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##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: moon, sun, EARTH, orbits, distance. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 1E from 13 chapter was answered, more than 472 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 1E from chapter: 13 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “What is the ratio of the gravitational pull of the sun on the moon to that of the earth on the moon? (Assume the distance of the moon from the sun can be approximated by the distance of the earth from the sun.) Use the data in Appendix F. Is it more accurate to say that the moon orbits the earth, or that the moon orbits the sun?” is broken down into a number of easy to follow steps, and 68 words.

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