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  4. A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 kgs -1 and at a speed of 10 ms -1. Then, the initial acceleration of the block, in ms -2, will be :

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Q. A block of metal weighing $2\, kg$ is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of $1\, kgs ^{-1}$ and at a speed of $10\, ms ^{-1}$. Then, the initial acceleration of the block, in $ms ^{-2}$, will be :Physics Question Image

JEE MainJEE Main 2022Laws of Motion

Solution:

$F =\frac{ dp }{ dt }=v \frac{ dm }{ dt }$
$\Rightarrow Ma =10 \times 1$
$\Rightarrow 2 a =10$
$a =5\, m / sec ^{2}$