Gravels are dropped on a conveyor belt at

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Gravels are dropped on a conveyor belt at the rate of $0.5\, kg/sec$. The extra force required in newtons to keep the belt moving at $2 \,m/sec$ is

A

$1$

B

$2$

C

$4$

D

$0.5$

Gravels are dropped on a conveyor belt at the rate of $0.5\, kg/sec$. The extra force required in newtons to keep the belt moving at $2 \,m/sec$ is

Opposing force $F = u\;\left( {\frac{{dm}}{{dt}}} \right) = 2 \times 0.5 = 1\;N$ $\left( {{\rm{As,}}\;F = u\frac{{du}}{{dt}}} \right)$

So same amount of force is required to keep the belt moving at $2 \,m/s$