A particle of mass \( m \) moving in the \( x \) direction with speed \( 2 v \) is hit by anothe...

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A particle of mass \( m \) moving in the \( x \) direction with speed \( 2 v \) is hit by another particle of mass \( 2 m \) moving in the \( y \) direction with speed \( v \). If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to
(1) \( 44 \% \)
(2) \( 50 \% \)
(3) \( 56 \% \)
(4) \( 62 \% \)
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