Sarthaks Test
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Two identical heavy spheres are separated by a distance 10 times their radius. Will an object placed at the mid point of the line joining their centres be in stable equilibrium or unstable equilibrium? Give reason for your answer.

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Consider moving the mass at the middle by a small amount h to the right. Then the forces on it are: GMm/(R - h)2 to the right and GMm/(R - h)2 to the left. The first is larger than the second. Hence the net force will also be towards the right. Hence the equilibrium is unstable.

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