IYPT 1988, Задачи на турнира — Задача 15. Copper coin
Problems for the 1st International Young Physicists’ Tournament
Critical edition
Olympiets Youth Center, Moscow, Soviet Union; March 28–April 2, 1988 [1]
Critical edition: translated, restored, and commented text [2]
FINAL DRAFT. — Please do not re-publish. Suggestions and criticism welcome
Translated, edited, and commented by Ilya Martchenko. The original edition’s historical notes, sources and acknowledgments are retained with problem 1.
Епиграф
The sciences nourish young people,
Give consolation to the old,
They decorate a happy life,
And they protect one in misfortune...
M. V. Lomonosov [3]
Условие
A 1-kopeck coin “fell out” of a space rocket and became an artificial planet. Estimate its lifetime as of a planet of the Solar System. [10]
Note [10]
The problem appears shortened in [MGU 1988] and is reprinted in this shortened form in [Farad 2002], not mentioning explicitly the interaction with sunlight. The earlier Kvant edition is, “1-kopeck coin “fell out” of a space rocket and became an artificial planet of the Solar System. Estimate its lifetime as a planet, taking into account its interaction with sunlight.” A particular ambiguity in the word “planet” («планета»), while a coin is not a large massive body necessarily revolving around the Sun, is clearly intended to mean how long the coin will remain in orbit around the Sun.
Решение
Внимание: Непълно решение
В архива няма официално решение на тази задача.
Оригинал в Архива: 1988.pdf