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Консультация № 191343
13.09.2017, 08:29
0.00 руб.
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Снаряд массой m=20кг, выпущенный со скоростью V0=600м/с под углом α=30° к горизонту, через время Т=10с разрывается на осколки. Через какое время t после разрыва суммарный импульс Р осколков будет направлен горизонтально, если известно, что все осколки находятся в полете? Найдите модуль |Р(Т+t)| импульса в этот момент времени. Силы сопротивления воздуха, действующие на осколки не учитывайте.
Снаряд массой m=20кг, выпущенный со скоростью V0=600м/с под углом α=30° к горизонту, через время Т=10с разрывается на осколки. Через какое время t после разрыва суммарный импульс Р осколков будет направлен горизонтально, если известно, что все осколки находятся в полете? Найдите модуль |Р(Т+t)| импульса в этот момент времени. Силы сопротивления воздуха, действующие на осколки не учитывайте.
Обсуждение
13.09.2017, 15:01
общий
это ответ
Здравствуйте, rita_2708!
Введём декартову прямоугольную систему координат
с началом в точке вылета снаряда; ось 
направим вдоль горизонта; ось 
- вверх.
Через время
после выстрела горизонтальная проекция импульса снаряда будет составлять
(кг[$183$]м/с).
Как показано здесь, после разрыва снаряда центр масс системы осколков будет двигаться так же, как если бы снаряд не разорвался (пока все осколки находятся в полёте). Импульс системы осколков будет направлен горизонтально в верхней точке траектории центра масс осколков. В этой точке вертикальная проекция импульса центра масс осколков равна нулю, то есть
(с).
При этом горизонтальная проекция (и модуль) импульса системы осколков, согласно закону сохранения импульса, по-прежнему будет равна
кг[$183$]м/с.
Введём декартову прямоугольную систему координат
с началом в точке вылета снаряда; ось направим вдоль горизонта; ось - вверх.Через время
после выстрела горизонтальная проекция импульса снаряда будет составлять (кг[$183$]м/с).Как показано здесь, после разрыва снаряда центр масс системы осколков будет двигаться так же, как если бы снаряд не разорвался (пока все осколки находятся в полёте). Импульс системы осколков будет направлен горизонтально в верхней точке траектории центра масс осколков. В этой точке вертикальная проекция импульса центра масс осколков равна нулю, то есть
(с).При этом горизонтальная проекция (и модуль) импульса системы осколков, согласно закону сохранения импульса, по-прежнему будет равна
кг[$183$]м/с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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