Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt….

Q: Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be

(a) Mv/2 newton

(b) Zero

(c) Mv newton

(d) 2 Mv newton

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Ans: (c)

Sol: Force = change in momentum per sec

$ \displaystyle F = v \frac{dm}{dt} $

F = v × M