A cricket ball of mass 160 g is moving horizontally directly towards a batsman. Its speed just before it hits the bat is 30 m / s. It leaves the bat at 40 m / s at 90° to its original direction. Find the magnitude of the impulse (in N-s) imparted to the ball.

Question

A cricket ball of mass 160 g is moving horizontally directly towards a batsman. Its speed just before it hits the bat is 30 m / s. It leaves the bat at 40 m / s at 90° to its original direction. Find the magnitude of the impulse (in N-s) imparted to the ball. (A) 4.8 (B) 8 (C) 6.4 (D) 10

Tardigrade Admin · Accepted Answer

| Impulse mid= Δ P = m |Δ vec v | =(160/1000) √[(30)2+(40)2]=8 Ns

Q. A cricket ball of mass $160 g$ is moving horizontally directly towards a batsman. Its speed just before it hits the bat is $30 m / s$ . It leaves the bat at $40 m / s$ at $9 0^{\circ}$ to its original direction. Find the magnitude of the impulse (in N-s) imparted to the ball.

4.8

8

6.4

10

| Impulse $∣=$
$Δ P = m ∣Δ v ∣$
$= \frac{160}{1000} [(30)^{2} + (40)^{2}] = 8 N s$

Q. A cricket ball of mass 160g is moving horizontally directly towards a batsman. Its speed just before it hits the bat is 30m/s. It leaves the bat at 40m/s at 90∘ to its original direction. Find the magnitude of the impulse (in N-s) imparted to the ball.

4.8

8

6.4

10

| Impulse ∣= ΔP=m∣Δv∣ =1000160​[(30)2+(40)2]​=8Ns

Q. A cricket ball of mass $160 g$ is moving horizontally directly towards a batsman. Its speed just before it hits the bat is $30 m / s$ . It leaves the bat at $40 m / s$ at $9 0^{\circ}$ to its original direction. Find the magnitude of the impulse (in N-s) imparted to the ball.

| Impulse $∣=$
$Δ P = m ∣Δ v ∣$
$= \frac{160}{1000} [(30)^{2} + (40)^{2}] = 8 N s$