FYKOS Year 31 Series 5 Problem 5 — sneaky dribblet · FYKOS 31 #31.5.5

Physics · mechanics · electromagnetism

Problem

Let's take a rounded drop of radius

r_0

made of water of density

\rho \_v

which coincidentally falls in the mist in the homogeneous gravity field

g

. Consider a suitable mist with special assumptions. It consists of air of density

\rho \_{vzd}

and water droplets with an average density of

rho\_r

and we consider that the droplets are dispersed evenly. If a drop falls through some volume of such mist, it collects all the water that is in that volume. Only air is left in this place. What is the dependence of the mass of the drop on the distance traveled in such a fog? Bonus: Solve the motion equations.

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