IOM 2019, Блиц — Задача 66

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

Условие

A sled went down the hill three times along three different slides from the same vertical (see fig.). When the initial height of the hill was $h$, the sled stopped at a distance of 3 m from the base of the slide. When the initial height was $2h$, the sled stopped at a distance of 7 m. At what distance will the sled stop if it starts descending from a height of $3h$? Coefficient of friction along all paths is the same. All three slides smoothly merge into the horizontal surface, energy losses in these transition areas are considered negligible.

Решение

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