Two blocks of masses 5 kg and 2 kg are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of 14 m/s to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are respectively:

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4 m/s, 4 m/s

10 m/s, 4 m/s

4 m/s, 10 m/s

10 m/s, 10 m/s

answer is C.

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Detailed Solution

vcm = m1v1+m2v2m1+m2 = 2×0+5×142+5 = 10 m/sv1-Vcm = 14-10 = 4 m/sv2-Vcm = 0-10 = -10 m/s

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