Question

A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of 12 m/s. If the mass of the ball is 0.15 kg., determine the impulse imparted to ball (Assume linear motion of the ball).

Answer 1

impulse = change in linear momentum .

initial momentum of ball= mu
=0.15 × 12 =1.8 kg.m/sec

final momentum of ball = -mu
= - 0.15 × 12 = -1.8 kgm/sec

now,
change in momentum of ball =final -initial
= -1.8 -1.8 = -3.6 kgm/sec

so,
change in momentum of bat = -change in momentum of ball

change in momentum of bat =3.6 kgm/s

now,
impulse imparted to ball =change in momentum of bat = 3.6 kgm/s

Answer 2

this is your correct answer