(C) The velocity of the ball changes from $v_i = 10 \ m/s$ to $v_f = -10 \ m/s$ (taking the direction towards the wall as positive).Since velocity is

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There is an acceleration because there is a momentum change.

(C) The velocity of the ball changes from $v_i = 10 \ m/s$ to $v_f = -10 \ m/s$ (taking the direction towards the wall as positive).Since velocity is a vector quantity,a change in direction implies a change in velocity.Change in momentum $\Delta p = m(v_f - v_i) = m(-10 - 10) = -20m$.Since there is a change in momentum over a finite time interval during the collision,a force $F = \frac{\Delta p}{\Delta t}$ acts on the ball.According to Newton's second law,$F = ma$,therefore,the ball experiences an acceleration during the impact.

Class 11 Physics Laws of Motion Third Law of Motion and Momentum and Impulse

Easy

$A$ ball hits a vertical wall horizontally at $10 \ m/s$ and bounces back at $10 \ m/s$. Which of the following statements is correct?

A
There is no acceleration because $10 \ m/s - 10 \ m/s = 0$.
B
There may be an acceleration because its initial direction is horizontal.
C
There is an acceleration because there is a momentum change.
D
Even though there is no change in momentum,there is a change in direction. Hence it has an acceleration.

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Laws of Motion

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Third Law of Motion and Momentum and Impulse

$A$ solid horizontal surface is covered with a thin layer of oil. $A$ rectangular block of mass $m = 0.4 \ kg$ is at rest on this surface. An impulse of $1.0 \ N \ s$ is applied to the block at time $t = 0$ so that it starts moving along the $x$-axis with a velocity $v(t) = v_0 e^{-t/\tau}$,where $v_0$ is a constant and $\tau = 4 \ s$. The displacement of the block,in metres,at $t = \tau$ is. . . . . . . Take $e^{-1} = 0.37$.

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$A$ ball of mass $0.5 \ kg$ moving horizontally at $10 \ m \ s^{-1}$ strikes a vertical wall and rebounds with speed $v$. The magnitude of the change in linear momentum is found to be $8.0 \ kg \ m \ s^{-1}$. The magnitude of $v$ is, (in $m \ s^{-1}$)

EasyAP EAMCET 2022

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$A$ player caught a cricket ball of mass $150 \ g$ moving at a speed of $20 \ m/s$. If the catching process is completed in $0.1 \ s$,the magnitude of the force exerted by the ball on the hand of the player is .......... $N$.

MediumJEE MAIN 2024

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State whether the following statements are true or false:
$(a)$ The product of the mass of an object and its velocity is called linear momentum.
$(b)$ Inertia is mass,and the measure of inertia is the resistance to change.
$(c)$ Force is the change in momentum.

Medium

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$A$ lead ball strikes a wall and falls down,while a tennis ball having the same mass and velocity strikes the wall and bounces back. Check the correct statement.

Medium

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$A$ ball hits a vertical wall horizontally at $10 \ m/s$ and bounces back at $10 \ m/s$. Which of the following statements is correct?

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$A$ ball of mass $0.5 \ kg$ moving horizontally at $10 \ m \ s^{-1}$ strikes a vertical wall and rebounds with speed $v$. The magnitude of the change in linear momentum is found to be $8.0 \ kg \ m \ s^{-1}$. The magnitude of $v$ is, (in $m \ s^{-1}$)

$A$ player caught a cricket ball of mass $150 \ g$ moving at a speed of $20 \ m/s$. If the catching process is completed in $0.1 \ s$,the magnitude of the force exerted by the ball on the hand of the player is .......... $N$.

State whether the following statements are true or false:$(a)$ The product of the mass of an object and its velocity is called linear momentum.$(b)$ Inertia is mass,and the measure of inertia is the resistance to change.$(c)$ Force is the change in momentum.

$A$ lead ball strikes a wall and falls down,while a tennis ball having the same mass and velocity strikes the wall and bounces back. Check the correct statement.

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State whether the following statements are true or false:
$(a)$ The product of the mass of an object and its velocity is called linear momentum.
$(b)$ Inertia is mass,and the measure of inertia is the resistance to change.
$(c)$ Force is the change in momentum.