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

Options

A. `(5v_(0) r^(2))/(2h)`
B. `(2v_(0) r^(2))/(5h)`
C. `(2v_(0) h)/(5r^(2))`
D. `(5v_(0)h)/(2r^(2))`

Answer

D

Explanation

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))`