Question

In a cricket match, Sachin hit a 1 kg ball thrown at him at 126 km/hr exactly in the opposite direction with the exact same speed. The impulse that his bat imparted on the ball in the short duration for which they were in contact would be.

• A. 35 N
• B. 35 Ns
• C. 70 N
• D. 70 Ns

Answer 1

The correct option is D 70 Ns

$\overrightarrow{F}=m\overrightarrow{a}$

$=\frac{md\overrightarrow{v}}{dt}$

$\overrightarrow{I}=\overrightarrow{F}.dt$

$=\frac{md\overrightarrow{v}}{dt}.dt$

$\overrightarrow{I}=md\overrightarrow{v}$

So impulse can also be seen as mass $\times$ change in velocity

u = 126 km/hr

= -35 m/s

v = +35 m/s

m = 1 kg

I = m(v-u)

1 (70)

I = 70 N.s