Questions

Two stars of masses m₁ and m₂ are parts of a star system. The radii binary of their orbits are r₁ and r₂ respectively, measured from the centre of mass of the system. The magnitude of gravitational force m₂ exerts on $m_{1}$ , is

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m1m2Gr1+r22

m1Gr1+r22

m2Gr1+r22

Gm1+m2r1+r22

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detailed solution

Correct option is A

The situation is as shown in the figureAccording to Newtons law of gravitation force between two bodies of masses m1 and m2 is F=Gm1m2r2where r is the distance between the two masses.Here, r=r1+r2∴ F=Gm1m2r1+r22

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