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Консультация № 196037
02.08.2019, 23:52
0.00 руб.
1
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Частица движется равноускоренно в координатной плоскости XY сначальной скоростью v0(вектор) = A*i(вектор) +B*j(вектор) и ускорением a(вектор) = Ci(вектор) + Dj(вектор). Найти модули векторов скорости v,тангенциального aтау и нормального an ускорений, а также радиус кривизны траектории R в момент времени t .
Частица движется равноускоренно в координатной плоскости XY сначальной скоростью v0(вектор) = A*i(вектор) +B*j(вектор) и ускорением a(вектор) = Ci(вектор) + Dj(вектор). Найти модули векторов скорости v,тангенциального aтау и нормального an ускорений, а также радиус кривизны траектории R в момент времени t .
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Обсуждение
04.08.2019, 09:30
общий
это ответ
Здравствуйте, dar777!
Пусть
м/с
-- начальная скорость частицы, движущейся равноускоренно c ускорением
м/с2.
Тогда скорость частицы изменяется по закону
При этом
(м/с)
-- модуль вектора скорости частицы в момент времени
с;
(м/с)
-- модуль вектора ускорения частицы (в том числе при с);
частица движется равноускоренно, то есть с ускорением, постоянным по модулю и направлению, поэтому её тангенциальное ускорение имеет нулевую абсолютную величину:
м/с;
(м/с2)
-- модуль нормального ускорения частицы в момент времени с;
(м)
-- радиус кривизны траектории частицы в момент времени с.
Пусть
м/с-- начальная скорость частицы, движущейся равноускоренно c ускорением
м/с2.Тогда скорость частицы изменяется по закону
При этом
(м/с)-- модуль вектора скорости частицы в момент времени
с; (м/с)-- модуль вектора ускорения частицы (в том числе при
с);частица движется равноускоренно, то есть с ускорением, постоянным по модулю и направлению, поэтому её тангенциальное ускорение имеет нулевую абсолютную величину:
м/с; (м/с2)-- модуль нормального ускорения частицы в момент времени
с; (м)-- радиус кривизны траектории частицы в момент времени
с.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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