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Консультация № 197128
18.11.2019, 16:04
0.00 руб.
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Здравствуйте! помогите решить задачу:
Снаряд массой m = 20 кг обладал скоростью v = 500 м/с в верхней точке траектории. В этой точке он разорвался на две части. Меньшая массой m1 = 5 кг получила скорость v1 = 400 м/с.
Найти, под каким углом j2 к горизонту полетит большая часть снаряда, если меньшая полетела вниз под углом j1 = 90° к горизонту.
Снаряд массой m = 20 кг обладал скоростью v = 500 м/с в верхней точке траектории. В этой точке он разорвался на две части. Меньшая массой m1 = 5 кг получила скорость v1 = 400 м/с.
Найти, под каким углом j2 к горизонту полетит большая часть снаряда, если меньшая полетела вниз под углом j1 = 90° к горизонту.
Обсуждение
20.11.2019, 11:15
общий
это ответ
Здравствуйте, stok_74!
Дано:
M=20 кг
m1=5 кг
V=500 м/с
v1=400 м/с
[$945$]1=90[$186$]
Найти:
[$945$]2
Решение:
Согласно закону сохранения импульса (см.рис.)
[img]
[/img]
M*V=m1*v[sub]1[/sub] + m*v[sub]2[/sub] (скорости - векторы)
m2=M-m1
Тогда, в проекции на оси:
Ось ОХ
MV=m2*v2*cos([$945$]2) (1)
Ось ОY
0=m2*v2*sin([$945$]2) - m1*v1
Отсюда
m1*v1 = m2*v2*sin([$945$]2) (2)
Поделим (2) на (1)
Получим
(m1*v1)/(MV) = tg([$945$]2) (3)
Следовательно
[$945$]2 = arctg[(m1*v1)/(MV)]
Подставляем числа, считаем
[$945$]2 ~11[$186$]
Удачи
Дано:
M=20 кг
m1=5 кг
V=500 м/с
v1=400 м/с
[$945$]1=90[$186$]
Найти:
[$945$]2
Решение:
Согласно закону сохранения импульса (см.рис.)
[img]
M*V=m1*v[sub]1[/sub] + m*v[sub]2[/sub] (скорости - векторы)
m2=M-m1
Тогда, в проекции на оси:
Ось ОХ
MV=m2*v2*cos([$945$]2) (1)
Ось ОY
0=m2*v2*sin([$945$]2) - m1*v1
Отсюда
m1*v1 = m2*v2*sin([$945$]2) (2)
Поделим (2) на (1)
Получим
(m1*v1)/(MV) = tg([$945$]2) (3)
Следовательно
[$945$]2 = arctg[(m1*v1)/(MV)]
Подставляем числа, считаем
[$945$]2 ~11[$186$]
Удачи
Об авторе:
С уважением
shvetski
С уважением
shvetski
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