Avery powerful vacuum cleaner which has a hose of circular cross section can lift a brick of mass 12 kg when the hose is placed perpendicularly on a horizontal flat smooth face of a brick. what is the minimum radius the hose opening should have to achieve this?

a). 1.9 cm
b). 2.6
c). 1.4 cm
d). 3.2 cm

A). 1.9 cm

Explanation:

m = Mass of brick = 12 kg

g = Acceleration due to gravity = 9.81 m/s²

r = Radius of hose

A = Area =

F = Force =

Let us assume that the pressure required to lift the brick would be atmospheric pressure

The radius of the hose should be 1.9 cm

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