Question

AB is an L shaped obstacle fixed on a horizontal smooth table. A ball strikes it at A, gets deflected and restrikes it at B. If the velocity vector before collision is v⃗ and coefficient restitution of each collision is 'e'. Then the velocity of ball after its second collision at B is

Answer 1

The value of final velocity is V(final) = - ev

Explanation:

According to the statement of the question.

Change in velocity along the surface = 0

Change in velocity along the normal (v) = - ev

In this case

V⊥A = evcosθ

Similarly,

V⊥B = - evsinθ

Total magnitude = √e^2v^2sin^2θ + e^2v^2cos^2θ

                           = √e^2v^2 = ev

V(final) = - ev

Thus the value of final velocity is V(final) = - ev

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