JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses its direction and moves with a speed of 2 ms⁻¹. Which of the following statement(s) is/are correct for the system of these two masses? [IIT JEE 2010]

Answer: (A),(C)

Solution

Elastic collision with v₁'=−2 ms⁻¹ gives initial speed u = 3 ms⁻¹ (from v₁'=[(1−5)/6]u=−2 ⟹ u=3). Total momentum = 1×3 = 3 kg ms⁻¹ (conserved throughout) — (A) correct. v₂' = [2×1/6]×3 = 1 ms⁻¹, so

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Question ID VK-153667