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. Find the impulse that his bat imparted on the ball in the short duration for which they were in contact.

35 N

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70 N

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35 Ns

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70 Ns

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Solution

The correct option is D
70 Ns

$\to F = m \to a$

$= \frac{m d \to v}{d t}$

$\to I = \to F . d t$

$= \frac{m d \to v}{d t} . d t$

$\to I = m d \to v$

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

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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. Find the impulse that his bat imparted on the ball in the short duration for which they were in contact.

The correct option is D 70 Ns →F=m→a =md→vdt →I=→F.dt =md→vdt.dt →I=md→v So impulse can also be seen as mass × 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

The correct option is D
70 Ns

$\to F = m \to a$

$= \frac{m d \to v}{d t}$

$\to I = \to F . d t$

$= \frac{m d \to v}{d t} . d t$

$\to I = m d \to v$

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