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Two balls of masses $1 k g$ each are connected by an inextensible massless string. The system is resting on a smooth horizontal surface. An impulse of $10 Ns$ is applied to one of the balls at an angle $30 °$ with the line joining two balls in horizontal direction as shown in the figure. Assuming that the string remains taut after the impulse, the magnitude of impulse of tension on either ball is :

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$\frac{5}{2} \sqrt{3} N s$

$6 N s$

$\frac{5}{\sqrt{3}} N s$

$5 N s$

answer is B.

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Detailed Solution

$10 \cos 30 ° - J_{T} = J_{T}$

[Both the masses will move with same velocity along the string]

$\Rightarrow J_{T} = 5 \cos 30 ° = \frac{5}{2} \sqrt{3} Ns$

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