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Q. 2

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 353

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Short Answer

The gravitational force of a star on 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 force F2. What is the ratio F1/F2?

The ratio F1/F2 =2

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Step by Step Solution

Step1: Given Information

The gravitational force of a star on orbiting planet 1 is F1.

Planet 2, is twice as massive as planet 1 and orbits at twice the distance from the star, experiences gravitational force F2.

Step2: Explanation

The Gravitation force is given as

First find the gravitational force on each planet and get the ratio.

Gravitational force on planet 1

Gravitational force on planet 2. Substitute M2= 2 M1 and R2=2R1

Now divide equation (1) by (2), we get

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