First slide

Coefficient of restitution

Question

A massive ball moving with speed v collides head on with another stationary ball having mass very much smaller than the mass of the first ball. The collision is elastic. Then immediately after the impact, the second ball will move with a speed approximately equal to

Moderate

A

v
B

2v
C

v/3
D

Infinite

Solution

v₂ = 2u₁ - u₂⇒ v₂ = 2v
MV₁ +m V₂ = MV + m x o - - - - - - - - - (1)
Again , V₂ - V₁ = eV = V - - - - - - - - - - - (2)
Eliminating V₁ from above equations, we get
V₂ = 2MV / M + m = 2V / (1 + m/M)
Since m <<M , V₂ $≃$ 2 V

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