FYKOS Year 28 Series 1 Problem 4 — doom of the Titanic · FYKOS 28 #28.1.4

Physics · mechanics

Problem

Náry always wanted a boat and so one beautiful day he bought himself one in the shape of a cuboid without a top side (like a bath) with outer sides of

a

b

c

and with a width of wall of

d

, which was created from scented wood of a density

ρ

(bigger density than water). The second day he took his boat outfor a ride on the water and he found out that it has a small hole on the bottom through which water flows with a flow rate of

Q_{1}

. That was unfortunate but since he was a man of action he started calculating how long until water starts entering the boat from the top. The same question is asked by this task.Conider also the situation where Náry of a mass

m

would have sat in the boat and while calculating would spill water out of the boat with a flow rate of

Q_{2}

. The boat is horizontal the whole time.

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