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Sand drops from a stationary hopper at t...

Sand drops from a stationary hopper at the rate of `5kg//s` on to a conveyor belt moving with a constant speed of `2m//s`. What is the force required to keep the belt moving and what is the power delivered by the motor, moving the belt?

Text Solution

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Impulse J = Ft = mv, `F=(mv)/(t)`
`v=2 ms^(-1), (m)/(t)=5 kgs^(-1) rArr F=10 N`
Powe `P=(W)/(t)=(Fs)/(t)=Fv = 10xx2=20` watt.
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