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Two billiard balls of same size and mass...

Two billiard balls of same size and mass are in contact on a billiard table. A third ball of same mass and size strikes them symmetrically and remains at rest after the impact. Find the coefficient of restitution between the balls?

Text Solution

Verified by Experts

The correct Answer is:
B, C
`p_i=p_f`
`:. m u=2"mv"cos 30^@`
or `v=(u)/(sqrt3)`
`e=(RVOS)/(RVOA)` (along `C_1C_2` or `C_1C_3`)

`=(v)/(ucos30^@)=((u//sqrt3))/(sqrt3u//2)=2/3`
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Knowledge Check

  • 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 :

    A
    `(2)/(3)`
    B
    `(1)/(3)`
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