(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 Newton's Laws of Motion and Friction 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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Chapter

Newton's Laws of Motion and Friction

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Third Law of Motion and Momentum and Impulse

An athlete runs for some distance before taking a long jump. Why?

Medium

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$A$ woman throws an object of mass $500\,g$ with a speed of $25\,ms^{-1}$.
$(a)$ What is the impulse imparted to the object?
$(b)$ If the object hits a wall and rebounds with half the original speed,what is the change in momentum of the object?

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If two balls each of mass $0.06 \,kg$ moving in opposite directions with speed $4 \,m/s$ collide and rebound with the same speed,then the impulse imparted to each ball due to the other is ........... $kg \cdot m/s$.

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$A$ particle moves in the $xy$-plane under the action of a force $\vec{F}$ such that the components of its linear momentum $\vec{p}$ at any time $t$ are $p_x = 2\cos t$ and $p_y = 2\sin t$. The angle between $\vec{F}$ and $\vec{p}$ at time $t$ is ........... $^o$.

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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 $m \ s^{-1}$)

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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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An athlete runs for some distance before taking a long jump. Why?

$A$ woman throws an object of mass $500\,g$ with a speed of $25\,ms^{-1}$.$(a)$ What is the impulse imparted to the object?$(b)$ If the object hits a wall and rebounds with half the original speed,what is the change in momentum of the object?

If two balls each of mass $0.06 \,kg$ moving in opposite directions with speed $4 \,m/s$ collide and rebound with the same speed,then the impulse imparted to each ball due to the other is ........... $kg \cdot m/s$.

$A$ particle moves in the $xy$-plane under the action of a force $\vec{F}$ such that the components of its linear momentum $\vec{p}$ at any time $t$ are $p_x = 2\cos t$ and $p_y = 2\sin t$. The angle between $\vec{F}$ and $\vec{p}$ at time $t$ is ........... $^o$.

$A$ 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 $m \ s^{-1}$)

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$A$ woman throws an object of mass $500\,g$ with a speed of $25\,ms^{-1}$.
$(a)$ What is the impulse imparted to the object?
$(b)$ If the object hits a wall and rebounds with half the original speed,what is the change in momentum of the object?