A block of metal weighing 2 kg is resting

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A block of metal weighing $2 \,kg$ is resting on a frictionless plane. It is struck by a jet releasing water at a rate of $1\, kg/sec$ and at a speed of $5\, m/sec$. The initial acceleration of the block will be .......... $m/\sec^2$

A

$2.5$

B

$5.0$

C

$10$

D

None of the above

A block of metal weighing $2 \,kg$ is resting on a frictionless plane. It is struck by a jet releasing water at a rate of $1\, kg/sec$ and at a speed of $5\, m/sec$. The initial acceleration of the block will be .......... $m/\sec^2$

Force on the block $ F  = u\;\left( {\frac{{dm}}{{dt}}} \right) = 5 \times 1 = 5\;N$

$\therefore $ Acceleration of block a$ = \frac{F}{m} = \frac{5}{2} = 2.5\;m/{s^2}$