A particle of mass \( m \) is moving along the \( x \)-axis with speed \( v \) when it collides ...

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A particle of mass \( m \) is moving along the \( x \)-axis with speed \( v \) when it collides with a particle of mass \( 2 m \) initially at rest. After the collision, the first particle has come to rest and the second particle has split into two equal-mass pieces that are shown in the figure. Which of the following statements correctly describes the speeds of the two places? \( (\theta0) \)
Before collision
After collision
(1) Each piece moves with speed \( v \)
(2) Each piece moves with speed \( v / 2 \)
(3) One of the pieces moves with speed \( v / 2 \), the other moves with speed greater than \( v / 2 \)
(4) Each piece moves with speed greater than \( v / 2 \)
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