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Two point masses are connected by a light inextensible string are lying on a frictionless surface as shown in figure. An impulse of magnitude $10 k g - m / s$ is given to $5 k g$ block.

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Velocity of $10 k g$ block immediately after impulse is given $\frac{1}{3} m / s$

Velocity of $10 k g$ block immediately after impulse is given $2 m / s$

Speed of $5 k g$ block immediately after impulse is given $\sqrt{\frac{28}{9}} m / s$

Speed of $5 k g$ block immediately after impulse is given $\frac{\sqrt{28}}{9} m / s$

answer is A, C.

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Detailed Solution

Along the string $10 \cos 60 ° = (15) v_{x}$

$\Rightarrow v_{x} = \frac{1}{3} m / s$ for both $10 K g$ and $5 K g$

In the direction perpendicular to string

$10 \sin 60 ° = 5 v_{y} \Rightarrow v_{y} = \sqrt{3} m / s$

Velocity of $10 k g = \frac{1}{3} m / s;$

velocity of $5 k g = \sqrt{3 + \frac{1}{9}} = \frac{\sqrt{28}}{3} m / s$

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