IOM 2018, Блиц, английски — Задача 37

OLYMPIAD OF METROPOLISES. Moscow, September 3 · 3 септември 2018 г.

Условие

To what exact depth $h$ must a thin-walled glass with its bottom facing up be immersed, so that it will keep sinking by itself? The glass has a mass of $m = 0.1$ kg and a volume of $V = 0.0002\ \mathrm{m^3}$. The water density is $\rho = 1000\ \mathrm{kg/m^3}$ and the Earth gravitational acceleration is $g = 10\ \mathrm{m/s^2}$. Assume the volume of the glass itself to be negligible and the air temperature to remain constant. The depth of immersion is defined as the difference between water levels in the glass and in the reservoir. Atmospheric pressure is $10^5$ Pa.

The answer should be given in the SI units unless otherwise stated. If the numerical result turns out to be an integer, it should be given as the answer. Otherwise round the result to the first decimal. $g = 10\ \mathrm{m/s^2}$.

Отговори

Решение

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Оригинал в Архива: blitz.pdf · официални решения: blitz-answers.pdf