Two blocks of masses $5 k g$ and $2 k g$ are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of $14 m / \sec$ 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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$10 m / \sec, 10 m / \sec$

$4 m / s, 10 m / \sec$

$10 m / s, 4 m / s$

$4 m / s, 4 m / s$

answer is C.

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Detailed Solution

$V_{C M} = \frac{5 \times 14}{5 + 2} = 10 m / \sec$

$∴$ Velocities w.r.to $C . M$

$∴ 14 - 10 = 4 m / \sec; 0 - 10 = - 10 m / \sec$

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