Tjere are two planets A and B m1 radius and m2 respectively. The revolve around the sun in circular orbit. The orbit radius of A from the sun is twice that of mass B. Compare the forces of Gravitation between A to sun and B to sun?????
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Mass of the planet A = 2x Mass of the planet B
The orbital radius of A from the sun = 2 x The orbital radius of B from the sun.
Therefor m1= 2m2 ....... eq 1
and r1 = 2r2 ........ eq 2
According to the law of gravitation :
F1 = GMm1/r1^2 and F2 = GMm2/r2^2
F1 = GM 2m2/(2r2)^2
= GM2m2/4(r2)^2
= GMm2/2(r2)^2
F1 = 1/2 F2
The force of gravitation between A to Sun is half of the force of gravitation between B to Sun.
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