Column-I lists three collision situations between a 2 kg block and an 8 kg block (with before- and after-collision velocities), and Column-II lists possible collision types. Match each situation to its collision type. Column-I: (A) Before: 2 kg at 3 m/s right, 8 kg at 1.5 m/s right; After:

Question

Column-I lists three collision situations between a 2 kg block and an 8 kg block (with before- and after-collision velocities), and Column-II lists possible collision types. Match each situation to its collision type. Column-I: (A) Before: 2 kg at 3 m/s right, 8 kg at 1.5 m/s right; After: 2 kg at 1.8 m/s right, 8 kg at 1.8 m/s right. (B) Before: 2 kg at 2 m/s left, 8 kg at 1 m/s left; After: 2 kg at 1 m/s right, 8 kg at 2 m/s right. (C) Before: 2 kg at 3 m/s right, 8 kg at 1 m/s right; After: 2 kg at 3.4 m/s right, 8 kg at 0.6 m/s right. Column-II: (P) Elastic, (Q) Perfectly Inelastic, (R) Partially elastic, (S) Collision not possible.

Accepted Answer

(A)-(Q), (B)-(S), (C)-(P). In (A) both blocks end with equal velocity (1.8 m/s) and momentum is conserved, so it is perfectly inelastic (Q). In (B) momentum is not conserved, so it is impossible (S). In (C) momentum and kinetic energy are both conserved, so it is elastic (P).

Solution

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