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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

Verified by Experts

The correct Answer is:
10

Mass released per unit time ` = 5 kg s^(-1)`
Speed of belt `= 2 m s^(-1)`
force required to maintain the speed
`= 2 m s ^(-1) xx 5 kg s^(-1) = 10 kg m s^(-2) = 10 N`
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