Two identical balls, each of mass \( m \), are tied with a string and kept on a frictionless sur...

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Two identical balls, each of mass \( m \), are tied with a string and kept on a frictionless surface. Initially, the string is slack. They are given velocities \( 2 u \) and \( u \) in the same direction. Collision between the balls is perfectly elastic.
What is the final loss in kinetic energy of the balls?
(1) \( m u^{2} / 4 \)
(2) \( m u^{2} / 2 \)
(3) \( 3 m u^{2} / 4 \)
(4) None of these
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