First slide

The steps in collision

Question

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

Moderate

A

1/3
B

1/9
C

8/9
D

2/3

Solution

fractional loss KE is

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

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