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A billiard ball of mass m and radius r, ...

A billiard ball of mass m and radius r, when hit in a horizontal direction by a cue at a height h above its centre, acquired a linear velocity `v_(0).` The angular velocity `omega_(0)` acquired by the ball is

A

`(5v_(0) r^(2))/(2h)`

B

`(2v_(0) r^(2))/(5h)`

C

`(2v_(0) h)/(5r^(2))`

D

`(5v_(0)h)/(2r^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Impulse `=Delta p= mv_(0)`

`L= I omega_(0) = (mv_(0)) h`
`rArr (2)/(5) mr^(2) omega_(0) = mv_(0) h rArr omega_(0)= (5v_(0) h)/(2r^(2))`
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