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Two equal billiard balls are in contact on a billiard table. A third equal ball strikes them symmetrically and remains at rest after impact. The coefficient of restitution is

Two equal billiard balls are in contact on a billiard table. A third equal ball strikes them symmetrically and remains at rest after impact. The coefficient of restitution is

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1 Answers

Chetan Mandayam Nayakar
312 Points
10 years ago

Dear Fawz,

let third ball approach the two stationary balls with speed v, let coefficient of restitution be e

from symmetry we can find out that the component of momentum normal to approaching ball is conserved

now consider parallel component: mv=2mucos30

mv=mu√3, coefficient of restitution=u/v=1/√3 

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CHETAN MANDAYAM NAYAKAR

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