Work Energy And Power Question 319

Question: Two identical billiard balls are in contact on a table. A third identical ball strikes them symmetrically and comes to rest after impact. The coefficient of restitution is

Options:

A) 23

B) 13

C) 16

D) 32

Show Answer

Answer:

Correct Answer: A

Solution:

[a] sinθ=r2r=12θ=30

From conservation of linear momentum,

mu=2mvcos30orv=u3

Now e=RelativevelocityofseparationRelativevelocityofapproch

(in common normal direction)

Hence, e=vucos30=u/3u3/2=23



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