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Two equal spheres \( B \) and \( C \) each of mass \( m \), are in contact on a smooth horizontal table.
A third sphere \( A \) of same size
as that of \( B \) or \( C \) but mass \( m / 2 \)
impinges symmetrically on
them with a velocity \( u \) and is itself brought to rest.
Find the velocity acquired by each of the spheres \( B \) and \( C \) after collision.
(1) \( \frac{u}{\sqrt{3}} \)
(2) \( \frac{2 u}{\sqrt{3}} \)
(3) \( \frac{u}{2 \sqrt{3}} \)
(4) \( \frac{u}{2} \)
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