Q. 2

Expert-verifiedFound in: Page 353

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

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

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.

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 M_{2}= 2 M_{1} and R_{2}=2R_{1}

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

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