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 .......... $m/\sec^2$
$2.5$
$5.0$
$10$
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}$
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