IOM 2019, Блиц — Задача 57

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

Условие

A rubber string of a 75 cm length is fixed at one end to the ceiling. It is found that the string further extends by 10 cm after a small ball of mass 0.1 kg is attached to the other end of the string and reaches the equilibrium. What will be the maximum length of the string if the ball is raised to the ceiling and released from rest? Assume that when the rubber string extends, it behaves like a spring. Give your answer in centimeters.

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

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