Two bodies X and Y of equal mass undergo completely inelastic 1D collision; one moves at v₁ while the other initially rests. They stick and move with v₂. Find ratio v₁:v₂.
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Two bodies X and Y of equal mass undergo completely inelastic 1D collision; one moves at v₁ while the other initially rests. They stick and move with v₂. Find ratio v₁:v₂.

G1 Physics · Accepted Answer

Step 1 — Principle: Conserve momentum in a perfectly inelastic collision; objects share a common final velocity. Step 2 — Working: Initial momentum mv₁ equals final momentum (2m)v₂. Step 3 — Working: Hence v₂=v₁/2, so v₁:v₂=2:1. Correct answer: A — 2 : 1.