A ball of mass \( m \), moving with a velocity \( u \) along \( x \)-axis, strikes another ball ...

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A ball of mass \( m \), moving with a velocity \( u \) along \( x \)-axis, strikes another ball of mass \( 2 m \) kept at rest. The first ball comes to rest after collision and the other breaks into two equal pieces. One of the pieces starts moving along \( y \)-axis with a speed \( v \). What will be the velocity of the other piece ?
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