Small spherical particles experience a viscous drag force given by Stokes' law: F d = 6rv, where

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Small spherical particles experience a viscous drag force given by Stokes' law: Fd = 6πηrv, where r is the radius of the particle, v is its speed, and η is the viscosity of the fluid medium. 

(a) Estimate the terminal speed of a spherical pollution particle of radius 10−5 m and density of 2000 kg/m3

(b) Assuming that the air is still and that η is 1.8 × 10−5 N·s/m2, estimate the time it takes for such a particle to fall from a height of 100 m.

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