A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision they stick together. Their common velocity is:
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Question

A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision they stick together. Their common velocity is:

G1 Physics · Accepted Answer

The collision is perfectly inelastic, so linear momentum is conserved. Initial momentum: p(i) = mv + 2m(0) = mv Final momentum: p(f) = (m + 2m)V = 3mV Therefore, mv = 3mV V = v/3 Hence option B follows.