Question

A bowler bowled a ball of mass $0.2\text{kg}$ at a speed of $162\text{km/h}$. The batsman played a defensive shot and the ball came to rest after striking the bat. If the contact between the ball and the bat is for $0.015\text{s}$, find the magnitude of the impulsive force applied by the bat on the ball.

• A. $3000\text{N}$
• B. $4500\text{N}$
• C. $1500\text{N}$
• D. $6000\text{N}$

Answer 1

The correct option is D $6000\text{N}$

Speed of the ball $=162\text{km/h}=162\times \frac{5}{18}=45\text{m/s}$
Magnitude of Impulsive force $=\frac{|\text{change in momentum}|}{\Delta t}$
$=\frac{|(0-mv)|}{\Delta t}$
$=\frac{0.2\times 45}{0.015}$
$=600\text{N}$