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A body of mass 6kg travelling with a velocity 10 m/s collides head-on and elastically with a body of mass 4 kg travelling at a speed 5 m/s in opposite direction. The velocity of the second body after the collision is

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0 m/s.

6 m/s

8 m/s

13 ms^–1

answer is D.

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Detailed Solution

Conserving Linear momentum - 6V₁ +4 V₂ = 6 X 10 - 4 X 5

⇒ 3 V₁ +2 V₂ = 20 --------------------- (1)

Also , V₂ - V₁ / 10 +5 = e = 1 ⇒ V₂ - V₁ = 15 --------- (2)

Solving , V₁ = -2 m/s

and V₂ = 15 + (- 2) ms = 13 m/s

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