IOM 2017, Блиц — Задача 47

OLYMPIAD OF METROPOLISES. Moscow, September 4 · 4 септември 2017 г.

Условие

A spring pendulum consisting of a block of a mass m=200m = 200 g and a spring with spring constant k=30k = 30
N/m lies on a horizontal surface (see Fig.). The coefficient of friction between the block and the table is μ=0.12\mu = 0.12. At the initial moment the spring is not deformed. Then the block is displaced from the initial position at a distance A=5.5A = 5.5 cm and released.

A block labelled m on a hatched horizontal floor, attached by a spring labelled k to a hatched vertical wall on the left.

Determine the distance travelled by the block before it stops. Give the 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 m/s2g = 10\ \mathrm{m/s^2}.

Отговори

Решение


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