IOM 2018, Блиц, английски — Задача 28

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

Условие

A ramp with an inclination angle of $\alpha = 30^{\circ}$ and a length of $L = 30$ m is placed on the horizontal ground. A body of negligible dimensions is pushed up the ramp at the initial velocity of $v_0 = 20$ m/s. After reaching the end of the ramp, the body continues to move through air until it lands on the ground. Determine the body speed when it hits the ground. The coefficient of friction between the body and the ramp is $\mu = \frac{\sqrt{3}}{15}$. Air resistance is negligible.

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

---

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