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A particle of mass $$m$$ moving with velocity $$v$$ collides with a stationary particle of mass $$2m$$. After collision, they stick together and continue to move together with velocity
Using conservation of momentum for a perfectly inelastic collision:
$$mv + 2m(0) = (m + 2m)v'$$
$$mv = 3mv'$$
$$v' = \frac{v}{3}$$
The combined mass moves with velocity $$\frac{v}{3}$$.
The correct answer is Option 1.
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