(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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A
$4\, N$ 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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$Assertion$ : $A$ man and a block rest on a smooth horizontal surface. The man holds a rope which is connected to the block. The man cannot move on the horizontal surface.
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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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$A$ spring-block system is placed on a rough horizontal floor. The block is pulled towards the right to give the spring some elongation and then released.

For the given system,find the value of $\theta_2$.

$A$ truck of mass $M$ is at rest on a frictionless road when a monkey of mass $m$ starts moving on the truck in the forward direction. If the truck recoils with a speed $v$ backward on the road,with what velocity is the monkey moving with respect to the truck?

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