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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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The gravitational force of a star on an orbiting planet1

Chapter 3, Problem 29P

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QUESTION:

The gravitational force of a star on an orbiting planet?1 is ?F1 Planet 2, which is twice as massive as planet 1 and orbits at twice the distance from the star, experiences gravitational? f?orce? 2?. What is the ratio F2/F1 ?

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QUESTION:

The gravitational force of a star on an orbiting planet?1 is ?F1 Planet 2, which is twice as massive as planet 1 and orbits at twice the distance from the star, experiences gravitational? f?orce? 2?. What is the ratio F2/F1 ?

ANSWER:

Solution Step 1 of 2 Gravitational force is the attraction force exerted by the two objects on each other with certain masses. Which is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.Example: In Solar system. As shown in the figure below, G m 1 2 That is, F g r2 Where F is the gravitational force, m and m are the masses of the two objects and r is g 1 2 the distance between them. G=6.67 ×10 11Nm /kg is universal gravitational constant.

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