Question

A batsman hit back a ball straight in the direction of the bowler without changing its initial speed of $12{ms}^{-1}$. If the mass of the ball is $0.15kg$, the impulse imparted to the ball is

• A. $2.8Ns$
• B. $3.6Ns$
• C. $3.9Ns$
• D. $4.2Ns$

Answer 1

The correct option is B $3.6Ns$

Impulse $=$ change in linear momentum $.$

initial momentum of ball$=mu$

$=0.15\times 12=1.8kg.m/sec$

final momentum of ball $=-mu$

$=-0.15\times 12=-1.8kgm/sec$

now$,$

change in momentum of ball $=$final $-$initial

$=-1.8-1.8=-3.6kgm/sec$

so$,$

change in momentum of bat $=-$change in momentum of ball

change in momentum of bat $=3.6kgm/s$

now$,$

impulse imparted to ball =change in momentum of bat $=3.6kgm/s=3.6Ns$

Hence,

option $\left(B\right)$ is correct answer.