find the ratio of the acceleration due to gravity of two planets(surface) if their radii are in the ratio 1:2 under the condition (i)mass remains same (ii)material remains same.

Asked by toppin | 4th Nov, 2010, 06:41: PM

Expert Answer:

Dear student
 
Acceleration due to gravity of first planet of mass 'm' and radius r1 is :
g= G m / r12 ...............(i)
 
Acceleration due to gravity of first planet of mass 'm' and radius r2 is :
g= G m / r22................(ii)
 
 
dividing (i) by (ii)
 
g1/g= r22 / r12   = 4 : 1
 
We hope this clarifies your doubt.
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Answered by  | 6th Nov, 2010, 03:25: PM

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