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Консультация № 186571
30.08.2012, 01:19
78.80 руб.
0
7
2
Здравствуйте! У меня возникли сложности с таким вопросом:
Найти закон изменения скорости парашютиста до раскрытия парашюта, если начальная скорость V0=0, масса вместе со снаряжением равна 90кг, сила сопротивления воздуха пропорциональна скорости движения парашютиста Fc=-kV, где k=20 кг/с. Вычислить максимальную скорость парашютиста.
Найти закон изменения скорости парашютиста до раскрытия парашюта, если начальная скорость V0=0, масса вместе со снаряжением равна 90кг, сила сопротивления воздуха пропорциональна скорости движения парашютиста Fc=-kV, где k=20 кг/с. Вычислить максимальную скорость парашютиста.
Обсуждение
30.08.2012, 05:51
общий
это ответ
Здравствуйте, Посетитель - 375268!
Предлагаю Вам свое решение задачи в формате docx. Скачать.
Будут вопросы обращайтесь в минифорум.
Удачи
Предлагаю Вам свое решение задачи в формате docx. Скачать.
Будут вопросы обращайтесь в минифорум.
Удачи
30.08.2012, 06:02
общий
это ответ
Здравствуйте, Посетитель - 375268!
Согласно закону Ньютона
mV'=Fc+mg=-kV+mg
Далее решаем дифференциальное уравнение
mV'=-kV+mg
Это линейное уравнение. Общее решение однородного V=Ce-kt/m.
Частное решение неоднородного V=mg/k
Общее решение V=mg/k+Ce-kt/m
Постоянную C находим из начального условия: при t=0 значение V=0, получаем
0=mg/k+C ---> C=-mg/k
Таким образом
V=mg/k(1-e-kt/m)
Эта функция монотонно возрастает стремясь к mg/k на бесконечности.Этот предел
и есть максимальная скорость
Ответ: mg/k
Согласно закону Ньютона
mV'=Fc+mg=-kV+mg
Далее решаем дифференциальное уравнение
mV'=-kV+mg
Это линейное уравнение. Общее решение однородного V=Ce-kt/m.
Частное решение неоднородного V=mg/k
Общее решение V=mg/k+Ce-kt/m
Постоянную C находим из начального условия: при t=0 значение V=0, получаем
0=mg/k+C ---> C=-mg/k
Таким образом
V=mg/k(1-e-kt/m)
Эта функция монотонно возрастает стремясь к mg/k на бесконечности.Этот предел
и есть максимальная скорость
Ответ: mg/k
Неизвестный
30.08.2012, 12:00
общий
Адресаты:
Здравствуйте! Спасибо большое за ответ, но ваш файл повреждён!
30.08.2012, 12:07
общий
Здравствуйте. Лично сам проверял - все нормально открывается. Сейчас выложу скриншоты.
30.08.2012, 12:13
общий
И снова попробовал скачать свой файл - и как результат все нормально открывается. Но все равно выложил скриншотами. Удачи
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