Question

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 to keep the belt moving is
A. (a) `0.4N`
B. (b) `0.08N`
C. (c) `0.04N`
D. (d) `0.2N`

Answer 1

Correct Answer - A
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`