What is the magnitude of linear velocity of the stick plus puck after the collision?

v_{i}

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\frac{v_{i}}{3}

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\frac{v_{i}}{2}

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\frac{v_{i}}{\sqrt{2}}

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Solution

The correct option is C $\frac{v_{i}}{2}$
Since there is no external horizontal force acting on system, the linear momentum of the system must be conserved.
Hence, $m v_{i} = (m + m) v$
$⟹ v = \frac{v_{i}}{2}$

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