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 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 pieces ? ( θ > 0)
Text Solution
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After collision by momentum conservation
Along y-axis
0 = 0 + mv 2 sin θ – mv 3 sin θ
⇒ v 2 = v 3
Along x-axis
mv = 0 + mv 2 cos θ + mv 3 cos θ
mv = 2 m v 2 cos θ
v 2 = 
so v 2 = v 3 > 
cos θ < 1
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