Two planets of radii r1 and r2 are made from the same material. Calculate the ra

Two planets of radii r1 and r2 are made from the same material. Calculate the ratio of acceleration due to gravity on the surface of planets.

Posted by: - Maria
Posting Time: - 7/22/2015 2:15:53 AM
Subject: - Physics

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Best 5 Answers:-

Answer by:- Matt

We know that the acceleration due to gravity can be described as
g = GM/R^2
Mass of the planets: M1 = density*volume = d*(4/3*pi*r1^3)
M2 = d*(4/3*pi*r2^3)
Now, g1 = 4(G*d*pi*r1^3)/(3r1^2) = 4/3*G*d*r1
And g2 = 4(G*d*pi*r2^3)/(3r2^2) = 4/3*G*d*r2
Now the ratio of acceleration due to gravity
We get, g1/g2 = 4/3*G*d*r1/4/3*G*d*r2 = r1/r2

 
   

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