According to Newton's law of universal gravitation, the attraction force between two bodies is given by: F =G where m¡ and mɔ are the masses of the bodies, r is the distance between the bodies, and G=6.67 x 10- N-m²/kg² is the universal gravitational constant. Determine how many times the attraction force between the sun and the Earth is larger than the attraction force between the Earth and the moon. The distance between the sun and Earth is 149.6 x 10°m, the distance 28 between the moon and Earth is 384.4 x 10°m, mEarth =5.98 x 10 kg, = 2.0 x 10 3° kg, and m,mvym = 7.36 × 10"kg.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.17P
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According to Newton's law of universal gravitation, the attraction force
between two bodies is given by:
where mi and m2 are the masses of the bodies, r is the distance between the
bodies, and G=6.67 × 10-" N-m²/kg² is the universal gravitational constant.
Determine how many times the attraction force between the sun and the
Earth is larger than the attraction force between the Earth and the moon.
The distance between the sun and Earth is 149.6 x 10°m, the distance
28
between the moon and Earth is 384.4 × 10°m, mEarth = 5.98 x 10“ kg,
= 2.0 x 10" kg, and mn =7.36 x 102 kg.
Transcribed Image Text:According to Newton's law of universal gravitation, the attraction force between two bodies is given by: where mi and m2 are the masses of the bodies, r is the distance between the bodies, and G=6.67 × 10-" N-m²/kg² is the universal gravitational constant. Determine how many times the attraction force between the sun and the Earth is larger than the attraction force between the Earth and the moon. The distance between the sun and Earth is 149.6 x 10°m, the distance 28 between the moon and Earth is 384.4 × 10°m, mEarth = 5.98 x 10“ kg, = 2.0 x 10" kg, and mn =7.36 x 102 kg.
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