IOM 2019, Блиц — Задача 43

OLYMPIAD OF METROPOLISES, Moscow, September 2, 2019 · 2 септември 2019 г.

Условие

A few contestants at the IOM 2019 were wondering how long in minutes would it take for a small object to fall freely through a straight tunnel dug through the center of the Earth in order to reach its opposite side. Can you help them? Feel free to assume that the Earth has a perfect spherical shape with radius 6400 km and uniform distribution of its mass. Air resistance may be neglected.

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. $g = 10\ \mathrm{m/s^2}$.

Решение

---

Оригинал в Архива: blitz-en-all-task-final.pdf