Question

there are two planets A and B having masses m1 and m2 respectively. they revolve around the sun in circular orbit . the orbital radius of A from the sun is twice that of orbital radius of B . the mass of A is twice that of mass of B .compare the forces of gravitation between A to sun and B to sunthere are two planets A and B having masses m1 and m2 respectively. they revolve around the sun in circular orbit . the orbital radius of A from the sun is twice that of orbital radius of B . the mass of A is twice that of mass of B .compare the forces of gravitation between A to sun and B to sun

Answer 1

Answer:

Explanation:  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.