Two balls of mass m₁ and m₂ are separated from each other by powder charge

Two balls of mass m₁ and m₂ are separated from each other by powder charge placed between them.The whole system is at rest on the ground.Suddenly, the powder charge explodes and masses are pushed part.The mass m₁ travels distance s₁ and stops.If the coefficient of friction between the balls and ground are same, the mass m₂ stops after travelling the distance

Options

(a) s₂ = (m₁ / m₂) s₁
(b) s₂ = (m₂ / m₁) s₁
(c) s₂ = (m₁² / m₂²) s₁
(d) s₂ = (m₂² / m₁²) s₁

Correct Answer:

s₂ = (m₁² / m₂²) s₁

Explanation:

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