FYKOS Year 35 Series 1 Problem 4 — fall to the seabed · FYKOS 35 #35.1.4

Physics · mechanics

Problem

A cylindrical capsule (Puddle Jumper) with a diameter

d = 4\,\mathrm{m}

, a length

l = 10\,\mathrm{m}

and with a watertight partition in the middle of its length is submerged below the ocean surface and falls to the seabed at a speed of

v = 20\,\mathrm{ft\cdot min^{-1}}

. At the depth

h = 1~200\,\mathrm{ft}

, the glass on the front base breaks and the corresponding half of the capsule is filled with water. At what speed will it fall now? How long will it take for the capsule to sink to the bottom at the depth

H = 3~000\,\mathrm{ft}

? Assume that the walls of the capsule are very thin against its dimensions.

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