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Q.

A moving particle of mass 'm' makes head on elastic collision with a particle of mass '2m' which is initialy at rest. The fraction of K.E. lost by colliding particle is

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a

8/9

b

1/9

c

1/3

d

2/3

answer is C.

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Detailed Solution

fractional loss KE is

Question Image

Alternative Method:
m x v₁ + 2m x v₂ = m x u₁ + 2m x 0
⇒ v₁ + 2v₂ = u₁..........(1)
Also,

\large \frac {v_2-v_1}{u_1-0}=e=1

⇒ v₂ - v₁ = u₁.........(2)
solving, v₁ = -u₁/3

Fraction of KE lost by m₁

Question Image

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A moving particle of mass 'm' makes head on elastic collision with a particle of mass '2m' which is initialy at rest. The fraction of K.E. lost by colliding particle is