(A) The force exerted by the water on the gardener is given by the rate of change of momentum,$F = \frac{dp}{dt} = v \frac{dm}{dt}$.Initially,the forc

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$4\, N$ in the backward direction

(A) The force exerted by the water on the gardener is given by the rate of change of momentum,$F = \frac{dp}{dt} = v \frac{dm}{dt}$.Initially,the force is $F_1 = \frac{dm}{dt} \cdot v_1 = 4 \times 2 = 8\, N$.When the speed increases to $3\, ms^{-1}$,the new force is $F_2 = \frac{dm}{dt} \cdot v_2 = 4 \times 3 = 12\, N$.The change in force (jerk) experienced by the gardener is $\Delta F = F_2 - F_1 = 12 - 8 = 4\, N$.Since the water is pushing the hosepipe backward,the increase in momentum requires an additional backward force,so the gardener experiences a jerk of $4\, N$ in the backward direction.

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

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$A$ gardener holds a hosepipe through which water is gushing out at a rate of $4\, kg\, s^{-1}$ with a speed of $2\, ms^{-1}$. The moment the speed of water is increased to $3\, ms^{-1}$,the gardener will experience a jerk of

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$4\, N$ in the backward direction
B
$8\, N$ in the forward direction
C
$8\, N$ in the backward direction
D
$4\, N$ in the forward direction

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Newton's Laws of Motion and Friction

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Mix Examples-Newton's Laws of Motion and Friction

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Imagine the situation in which the given arrangement is placed inside a trolley that can move only in the horizontal direction,as shown in the figure. If the trolley is accelerated horizontally along the positive $x$-axis with $a_0$,then choose the correct statement$(s)$.

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Write important guidance for solving problems in mechanics.

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$A$ car of mass $500\, kg$ is driven with acceleration $1\, m/s^2$ along a straight level road against a constant external resistance of $1000\, N$. When the velocity is $5\, m/s$,the rate at which the engine is working is .............. $kW$.

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$A$ force of $5\,N$ acts on a body of mass $5\,kg$ for $1\,s$ and gives it a momentum $p$ and kinetic energy $E$. If the same force accelerates the same body through $1\,m$,the momentum and energy attained by the body are $p'$ and $E'$ respectively. Which of the following relations is correct?

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$A$ gardener holds a hosepipe through which water is gushing out at a rate of $4\, kg\, s^{-1}$ with a speed of $2\, ms^{-1}$. The moment the speed of water is increased to $3\, ms^{-1}$,the gardener will experience a jerk of

Similar Questions

Imagine the situation in which the given arrangement is placed inside a trolley that can move only in the horizontal direction,as shown in the figure. If the trolley is accelerated horizontally along the positive $x$-axis with $a_0$,then choose the correct statement$(s)$.

Write important guidance for solving problems in mechanics.

$A$ car of mass $500\, kg$ is driven with acceleration $1\, m/s^2$ along a straight level road against a constant external resistance of $1000\, N$. When the velocity is $5\, m/s$,the rate at which the engine is working is .............. $kW$.

$A$ force of $5\,N$ acts on a body of mass $5\,kg$ for $1\,s$ and gives it a momentum $p$ and kinetic energy $E$. If the same force accelerates the same body through $1\,m$,the momentum and energy attained by the body are $p'$ and $E'$ respectively. Which of the following relations is correct?

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