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Two blocks of mass m and M are lying on ...

Two blocks of mass m and M are lying on a smooth table. A spring is attached with the block of mass M (see fig). Block of mass m is given a velocity towards the other block. Find the value of `(M)/(m)` for which the kinetic energy of the system will never fall below one third of the initial kinetic energy imparted to the block of mass m.

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