First slide

Third law

Question

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

Easy

A

$Mν$ newton
B

$2 Mν$ newton
C

$\frac{mν}{2}$ newton
D

zero

Solution

Force required, $F = \frac{d (mv)}{dt}$
$= v (\frac{dm}{dt}) = vM$
As velocity is constant, hence
$Mν$ newton

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