(D) The force exerted on the surface is equal to the rate of change of momentum of the balls.Change in momentum for one ball = $mv - (-mv) = 2mv$.Tota

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(D) The force exerted on the surface is equal to the rate of change of momentum of the balls.Change in momentum for one ball = $mv - (-mv) = 2mv$.Total force $F = n \times (2mv)$,where $n$ is the number of balls per second $(10,000 = 10^4 \, s^{-1})$,$m = 1 \, g = 10^{-3} \, kg$,and $v = 100 \, m/s$.$F = 10^4 \times 2 \times 10^{-3} \times 100 = 2000 \, N$.Area $A = 1 \, cm^2 = 10^{-4} \, m^2$.Pressure $P = \frac{F}{A} = \frac{2000}{10^{-4}} = 2 \times 10^7 \, N/m^2$.

Class 11 Physics Newton's Laws of Motion and Friction Mix Examples-Newton's Laws of Motion and Friction

Medium

$10,000$ small balls,each weighing $1 \, g$,strike $1 \, cm^2$ of area per second with a velocity of $100 \, m/s$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be:

A
$2 \times 10^3 \, N/m^2$
B
$2 \times 10^5 \, N/m^2$
C
$10^7 \, N/m^2$
D
$2 \times 10^7 \, N/m^2$

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Class 11

Physics Questions

Chapter

Newton's Laws of Motion and Friction

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Mix Examples-Newton's Laws of Motion and Friction

Identify the incorrect statement.

Medium

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Provide an example from daily life where motion is controlled or initiated by an external force.

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$A$ man pulls a block heavier than himself with a light horizontal rope. The coefficient of friction is the same between the man and the ground,and between the block and the ground.

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$A$ block of mass $m$ is moving with a constant acceleration $a$ on a rough plane. If the coefficient of friction between the block and the ground is $\mu$,the power delivered by the external agent after a time $t$ from the beginning is equal to:

Medium

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$A$ spring-block system is placed on a rough horizontal floor. The block is pulled towards the right to give the spring an elongation $x_0$ such that $\frac{\mu mg}{K} < x_0 < \frac{2\mu mg}{K}$,and then released. Which of the following statements is correct?

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$10,000$ small balls,each weighing $1 \, g$,strike $1 \, cm^2$ of area per second with a velocity of $100 \, m/s$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be:

Similar Questions

Identify the incorrect statement.

Provide an example from daily life where motion is controlled or initiated by an external force.

$A$ man pulls a block heavier than himself with a light horizontal rope. The coefficient of friction is the same between the man and the ground,and between the block and the ground.

$A$ block of mass $m$ is moving with a constant acceleration $a$ on a rough plane. If the coefficient of friction between the block and the ground is $\mu$,the power delivered by the external agent after a time $t$ from the beginning is equal to:

$A$ spring-block system is placed on a rough horizontal floor. The block is pulled towards the right to give the spring an elongation $x_0$ such that $\frac{\mu mg}{K} < x_0 < \frac{2\mu mg}{K}$,and then released. Which of the following statements is correct?

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