1.

Sand particles drop vertically at the rate of `2kgs^-1` on a conveyor belt moving horizontally with a velocity of `0.2ms^-1`. The extra force required isA. (a) `0.4W`B. (b) `0.08W`C. (c) `0.04W`D. (d) `0.2W`

Answer» Correct Answer - B
Force required to keep the belt moving `=F`
`F=v(dm)/(dt)=0.2xx2=0.4N`
Extra power required: `P=Fv=0.4xx0.2=0.08W`
Rate of change of kinetic energy is
`1/2v^2((dm)/(dt))=1/2(0.2)^2xx2=0.04Js^-1`


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