(A) The velocity of the ball just before hitting the ground is $v_i = -\sqrt{2gh_1} = -\sqrt{2 \times 9.8 \times 40} = -\sqrt{784} = -28 \ m/s$. The v

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(A) The velocity of the ball just before hitting the ground is $v_i = -\sqrt{2gh_1} = -\sqrt{2 \times 9.8 \times 40} = -\sqrt{784} = -28 \ m/s$. The velocity of the ball just after rebounding is $v_f = \sqrt{2gh_2} = \sqrt{2 \times 9.8 \times 10} = \sqrt{196} = 14 \ m/s$. The impulse imparted to the ball is equal to the change in momentum: $\vec{I} = \Delta \vec{P} = m(\vec{v}_f - \vec{v}_i)$. Substituting the values: $\vec{I} = 0.5 \times [14 - (-28)] = 0.5 \times [14 + 28] = 0.5 \times 42 = 21 \ Ns$.

Class 11 Physics Newton's Laws of Motion and Friction Third Law of Motion and Momentum and Impulse

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$A$ ball of mass $0.5 \ kg$ is dropped from a height of $40 \ m$. The ball hits the ground and rises to a height of $10 \ m$. The impulse imparted to the ball during its collision with the ground is (Take $g = 9.8 \ m/s^2$)

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A
$21 \ Ns$
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$7 \ Ns$
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$0$
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$84 \ Ns$

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Class 11

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Newton's Laws of Motion and Friction

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Third Law of Motion and Momentum and Impulse

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$A$ ball of mass $0.15 \, kg$ is dropped from a height $10 \, m$,strikes the ground,and rebounds to the same height. The magnitude of the impulse imparted to the ball is $(g = 10 \, m/s^2)$ nearly: (in $kg \cdot m/s$)

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Match the items in Column-$I$ with those in Column-$II$.

Column-$I$ Column-$II$

$(1)$ Change in momentum $(a)$ Force

$(2)$ Rate of change of momentum $(b)$ Impulse

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$A$ machine gun fires a bullet of mass $65 \, g$ with a velocity of $1300 \, m/s$. The man holding it can exert a maximum force of $169 \, N$ on the gun. The number of bullets he can fire per second will be ............

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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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$A$ player catches 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 force of the blow exerted by the ball on the hands of the player is ........... $N$.

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Column-$I$	Column-$II$
$(1)$ Change in momentum	$(a)$ Force
$(2)$ Rate of change of momentum	$(b)$ Impulse

$A$ ball of mass $0.5 \ kg$ is dropped from a height of $40 \ m$. The ball hits the ground and rises to a height of $10 \ m$. The impulse imparted to the ball during its collision with the ground is (Take $g = 9.8 \ m/s^2$)

Similar Questions

$A$ ball of mass $0.15 \, kg$ is dropped from a height $10 \, m$,strikes the ground,and rebounds to the same height. The magnitude of the impulse imparted to the ball is $(g = 10 \, m/s^2)$ nearly: (in $kg \cdot m/s$)

Match the items in Column-$I$ with those in Column-$II$. Column-$I$ Column-$II$ $(1)$ Change in momentum $(a)$ Force $(2)$ Rate of change of momentum $(b)$ Impulse

$A$ machine gun fires a bullet of mass $65 \, g$ with a velocity of $1300 \, m/s$. The man holding it can exert a maximum force of $169 \, N$ on the gun. The number of bullets he can fire per second will be ............

$A$ 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?

$A$ player catches 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 force of the blow exerted by the ball on the hands of the player is ........... $N$.

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Match the items in Column-$I$ with those in Column-$II$.

Column-$I$ Column-$II$

$(1)$ Change in momentum $(a)$ Force

$(2)$ Rate of change of momentum $(b)$ Impulse

$A$ 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?