Question

A batsman deflects a ball by an angle of ${45}^o$ without changing its initial speed which is equal to $54$km/hr. Mass of the ball is $0.15$kg. What is the impulse imparted to the ball?

• A. $4.2$kg m/s in the direction of the final velocity
• B. $4.2$kg m/s in the direction of the initial velocity
• C. $4.2$kg m/s in the direction opposite to the initial velocity
• D. $4.2$kg m/s directed along the bisector of the initial and the final directions of the velocity

Answer 1

The correct option is D $4.2$kg m/s directed along the bisector of the initial and the final directions of the velocity

Initial momentum of ball $=mucos\theta$ along NO

Final momentum of ball $=mucos\theta$ along ON

Impulse = Change in momentum

=$2muCos\theta$

On subsituitng values we get,

$\therefore Impulse=4.2kg/s$