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Two bodies of masses m1 and m2 are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Find their relative velocity of approach at a separation distance r between them.

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Let vr be the relative velocity of approach of two bodies at a distance r apart. The reduced mass of the system of two particles is 

According to law of conservation of mechanical energy.

Decrease in potential energy = increase in K.E.

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