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Консультация № 201246
30.06.2021, 11:56
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1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Мелкая дождевая капля, образовавшаяся в облаке, после вылета из него двигалась вертикально вниз с ускорением 6 м/с2 при скорости, равной 5 м/с. До какой максимальной скорости может разогнаться эта капля? Считайте, что величина действующей на каплю силы сопротивления воздуха (вне облака) прямо пропорциональна скорости, причём коэффициент пропорциональности постоянен. Ответ запишите в м/с с точностью до десятых. Ускорение свободного падения считайте равным g?10 м/с2.
Мелкая дождевая капля, образовавшаяся в облаке, после вылета из него двигалась вертикально вниз с ускорением 6 м/с2 при скорости, равной 5 м/с. До какой максимальной скорости может разогнаться эта капля? Считайте, что величина действующей на каплю силы сопротивления воздуха (вне облака) прямо пропорциональна скорости, причём коэффициент пропорциональности постоянен. Ответ запишите в м/с с точностью до десятых. Ускорение свободного падения считайте равным g?10 м/с2.
Обсуждение
30.06.2021, 19:05
общий
Адресаты:
kuznetsova.79 Мелкая дождевая капля, образовавшаяся в облаке, после вылета из него двигалась вертикально вниз с ускорением 6 м/с2 при скорости, равной 5 м/с.
То есть?
Об авторе:
Facta loquuntur.
Facta loquuntur.
01.07.2021, 08:12
общий
это ответ
Здравствуйте, kuznetsova.79!
Предлагаю Вам следующее решение задачи.
Дано:
м/с2, 
м/с -- ускорение и скорость дождевой капли в начальный момент времени; 
-- зависимость величины силы сопротивления воздуха от скорости капли; 
м/с2 -- ускорение свободного падения.
Определить:
-- величину максимальной скорости, до которой может разогнаться капля.
Запишем уравнение движения капли в проекции на вертикальную ось, направленную вниз:
где
-- масса капли. Из этого уравнения получим
Скорость капли будет максимальной (установившейся), когда
значит,
то есть
(м/с).
Ответ:
м/с.
Предлагаю Вам следующее решение задачи.
Дано:
м/с2, м/с -- ускорение и скорость дождевой капли в начальный момент времени; -- зависимость величины силы сопротивления воздуха от скорости капли; м/с2 -- ускорение свободного падения.Определить:
-- величину максимальной скорости, до которой может разогнаться капля.Решение
Запишем уравнение движения капли в проекции на вертикальную ось, направленную вниз:
где
-- масса капли. Из этого уравнения получимСкорость капли будет максимальной (установившейся), когда
значит,то есть
(м/с).Ответ:
м/с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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