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Консультация № 200756
29.04.2021, 14:34
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Амплітуда згасаючих коливань математичного маятника за 1 хв зменшилась вдвічі. У скільки разів вона зменшиться за 3 хв?
Амплітуда згасаючих коливань математичного маятника за 1 хв зменшилась вдвічі. У скільки разів вона зменшиться за 3 хв?
Обсуждение
29.04.2021, 14:57
общий
это ответ
Здравствуйте, ushatalal!
Предлагаю Вам следующее решение задачи.
Дано:
-- отношение амплитуд затухающих колебаний математического маятника начальной и через одну минуту.
Определить:
-- отношение амплитуд затухающих колебаний математического маятника начальной и через три минуты.
Амплитуда затухающих колебаний математического маятника убывает по экспоненциальному закону. Если за время, равное одной минуте, она уменьшилась в два раза по сравнению с начальной, то есть
то за следующую минуту она уменьшится тоже вдвое, то есть 
а за следующую минуту уменьшится тоже вдвое, то есть 
Следовательно, 
Ответ:
Предлагаю Вам следующее решение задачи.
Дано:
-- отношение амплитуд затухающих колебаний математического маятника начальной и через одну минуту.Определить:
-- отношение амплитуд затухающих колебаний математического маятника начальной и через три минуты.Решение
Амплитуда затухающих колебаний математического маятника убывает по экспоненциальному закону. Если за время, равное одной минуте, она уменьшилась в два раза по сравнению с начальной, то есть
то за следующую минуту она уменьшится тоже вдвое, то есть а за следующую минуту уменьшится тоже вдвое, то есть Следовательно, Ответ:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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