the position shown where sphere \( B \) is struck by sphere \( C \) which is moving to the right...

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the position shown where sphere \( B \) is struck by sphere \( C \) which is moving to the right with a velocity \( v_{0} \). Knowing that the cord is taut where sphere \( B \) is struck by sphere \( C \) and assuming head on inelastic impact between energy of the entire system.
If velocity of \( C \) immediately after collision becomes \( v_{0} / 2 \) in the initial direction of motion, the impulse due to string on sphere \( A \) is
(1) \( \frac{m v_{0}}{8} \)
(2) \( \frac{m v_{0}}{2} \)
(3) \( \frac{\sqrt{m v_{0}}}{4} \)
(4) none of these
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