(B) Given that:Number of balls $N = 1000 = 10^3$Mass of each ball $m = 1 \text{ g} = 10^{-3} \text{ kg}$Area $A = 1 \text{ cm}^2 = 10^{-4} \text{ m}^2

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(B) Given that:Number of balls $N = 1000 = 10^3$Mass of each ball $m = 1 \text{ g} = 10^{-3} \text{ kg}$Area $A = 1 \text{ cm}^2 = 10^{-4} \text{ m}^2$Velocity $v = 50 \text{ m/s}$The change in momentum for each collision is $\Delta p = m[v - (-v)] = 2mv$.Since there are $N$ collisions per second,the total force $F$ exerted on the surface is:$F = N \times \Delta p = N \times 2mv$$F = 10^3 \times 2 \times 10^{-3} \text{ kg} \times 50 \text{ m/s} = 100 \text{ N}$.Pressure $P$ is defined as force per unit area:$P = \frac{F}{A} = \frac{100 \text{ N}}{10^{-4} \text{ m}^2} = 10^6 \text{ N/m}^2$.

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

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$1000$ small balls,each weighing $1 \text{ g}$,strike $1 \text{ cm}^2$ of area per second with a velocity of $50 \text{ m/s}$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be:

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A
$10^7 \text{ N/m}^2$
B
$10^6 \text{ N/m}^2$
C
$5 \times 10^6 \text{ N/m}^2$
D
$2 \times 10^6 \text{ N/m}^2$

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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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$(c)$ Force is the change in momentum.

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$1000$ small balls,each weighing $1 \text{ g}$,strike $1 \text{ cm}^2$ of area per second with a velocity of $50 \text{ m/s}$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be:

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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.

$A$ mass of $1 \ kg$ is suspended by a string $A$. Another string $C$ is connected to its lower end as shown in figure. If a sudden jerk is given to $C$,then

$A$ particle of mass $m$ strikes elastically on a wall with velocity $v$,at an angle of $60^{\circ}$ from the wall. The magnitude of the change in momentum of the particle along the wall is:

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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.