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At a particular instant in time, a small star of mass m is on a line...

At a particular instant in time, a small star of mass m is on a line with two large stars, both with mass M, as shown The small star is a distance r from the nearer big star and a distance 2r from the further big star. There are no other masses around. What is the magnitude of the net force on the small star m?

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Answer #1

since you have not uploaded any image there can be two cases

case 1. both big stars are on the same side of the smaller star.

In this case total force on small star = GMm/r2 + GMm/4r2 = 5GMm/4r2  ans. [note: G=gravitational constant]

case 2. both big stars are on the opposite side of the small star

In this case total force acting on the small star = GMm/r2 - GMm/4r2 = 3GMm/4r2

Direction of this net force will be towards the big mass which is nearer to small mass

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