Momentum and CollisionHardBloom L2
Question
A particle of mass m is moving along the x-axis with speed v when it collides with a particle of mass 2m initially at rest. After the collisions, the first particle has come to rest, and the second particle has split into two equal-mass pieces that move at equal angles θ > 0 with the x-axis, as shown in the figure. Which of the following statements correctly describes the speeds of the two pieces?
Options
A.Each piece moves with speed v
B.One of the pieces moves with speed v, the other moves with speed less than v
C.Each piece moves with speed v/2
D.Each piece moves with speed greater than v/2
Solution
Sol. 
m . 2v1cosθ = mv
⇒ $v_{1} = \frac{v}{2\cos\theta}$
cosθ <1 ⇒ v1 > $\frac{v}{2}$
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