Momentum and CollisionHardBloom L3

Question

Two balls of masses 1 kg 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 is :

Options

A.6Ns
B.$\frac{5}{2}\sqrt{3}Ns$
C.5 Ns
D.$\frac{5}{\sqrt{3}}Ns$

Solution

Sol.

2mv = 10 cos 30°

⇒ mv = $\frac{5\sqrt{3}}{2}$

∴ Itension = (∆P)1 = mv = $\frac{5\sqrt{3}}{2}$

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