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Chapter 13: Q. 2 (page 353)

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?

Short Answer

Expert verified

The ratio F1/F2 =2

Step by step solution

01

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.

02

Explanation

The Gravitation force is given as

F=Gm1m2r2

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

Gravitational force on planet 1

F1=G×M1×M1R12....................(1)

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

role="math" localid="1649250783330" F2=G×M1×(2M1)(2R1)2....................(2)

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

F1F2=2

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