Question

A ball of mass m moving at a speed v makes a head on collision with identical ball at rest. The kinetic energy of the ball after the Collison is 4 % of the original. Find the coefficient of restitution.
(a) 3/5
(b)2/5
(c) 1/5
(d) 1/3​

Answer 1

✿━━━━@Mg━━━━✿

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✿━━━━@Mg━━━━✿

Final Kinetic Energy = 3/4 Initial Kinetic Energy

(1/2)mv₁² + (1/2)mv₂² = (3/4) x 1/2 mv²

v₁² + v₂² = (3/4) v²

[(v₁ + v₂)² + (v₁ - v₂)² ] / 2 = 3v² / 4

(1 + e²)v² / 2 = 3v² / 4

1 + e² = 3/2

e² = 1/2

e = 1 / √2

Answer 2

Explanation:

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