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 \( B \) and \( C \), we cannot conserve kinetic energy of the entire system.
The magnitude of velocity of \( A \) immediately after collision is
(1) \( \frac{\sqrt{3 v_{0}}}{4} \)
(2) \( \frac{v_{0}}{8} \)
(3) \( \frac{v_{0}}{4} \)
(4) \( \frac{\sqrt{3 v_{0}}}{8} \)
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