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Консультация № 200999
29.05.2021, 10:25
0.00 руб.
29.05.2021, 10:38
0
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
"В момент t0=0 частица массы m начинает двигаться под действием силы F[$8594$]=F0[$8594$]cos[$969$]t, где F0[$8594$] и [$969$] - постоянные. Сколько времени частица будет двигаться до первой остановки? Какой путь она пройдёт за это время?"
"В момент t0=0 частица массы m начинает двигаться под действием силы F[$8594$]=F0[$8594$]cos[$969$]t, где F0[$8594$] и [$969$] - постоянные. Сколько времени частица будет двигаться до первой остановки? Какой путь она пройдёт за это время?"
Обсуждение
29.05.2021, 14:56
общий
это ответ
Здравствуйте, Alex!
Предлагаю Вам следующее решение задачи.
Дано:
-- сила, действующая на частицу; 
с -- момент начала движения частицы.
Определить:
-- время движения частицы до первой остановки; 
-- путь, который прошла частица за время 
Предположим, что масса частицы равна
частица начинает движение с нулевой начальной скоростью из начала координат 
декартовой системы. Тогда в проекции на направление движения 
частицы, учитывая начальные условия, получим
-- для ускорения частицы;
-- для скорости частицы;
-- для координаты частицы.
Понятно, что если частица начинала своё движение с нулевой начальной скоростью в момент времени
с, то её первая остановка (скорость частицы станет равной нулю впервые после начала движения) состоится тогда, когда будет выполнено равенство 
то есть при 
Значит, время движения частицы до первой остановки равно
(ед. времени),
а пройденный частицей за это время путь составляет
(ед. длины).
Ответ:
ед. времени, 
ед. длины.
Предлагаю Вам следующее решение задачи.
Дано:
-- сила, действующая на частицу; с -- момент начала движения частицы.Определить:
-- время движения частицы до первой остановки; -- путь, который прошла частица за время Решение
Предположим, что масса частицы равна
частица начинает движение с нулевой начальной скоростью из начала координат декартовой системы. Тогда в проекции на направление движения частицы, учитывая начальные условия, получим-- для ускорения частицы;
-- для скорости частицы;
-- для координаты частицы.
Понятно, что если частица начинала своё движение с нулевой начальной скоростью в момент времени
с, то её первая остановка (скорость частицы станет равной нулю впервые после начала движения) состоится тогда, когда будет выполнено равенство то есть при Значит, время движения частицы до первой остановки равно (ед. времени),а пройденный частицей за это время путь составляет
Ответ:
ед. времени, ед. длины.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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