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Консультация № 196549
03.10.2019, 07:53
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1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Частица начала свое движение из начала координат с начальной скоростью v0 = -j*A и с ускорением, которое зависит от времени по закону a(t) = j*B(t/tau), где A, B – постоянная величина, j, k – единичные орты в декартовой системе координат. Каков модуль скорости частицы в момент времени t = 1 с, если tau = 1 с.
А = 2 м/с, В = 3 м/с2.
Ответ 0,857 м/с
Частица начала свое движение из начала координат с начальной скоростью v0 = -j*A и с ускорением, которое зависит от времени по закону a(t) = j*B(t/tau), где A, B – постоянная величина, j, k – единичные орты в декартовой системе координат. Каков модуль скорости частицы в момент времени t = 1 с, если tau = 1 с.
А = 2 м/с, В = 3 м/с2.
Ответ 0,857 м/с
Обсуждение
05.10.2019, 14:31
общий
Адресаты:
В условии задачи задано: "B – постоянная величина", поэтому в Вашем выражении закона a(t) = j*B(t/tau) переменная B должна быть константой, а не B(t/tau) !
"j, k – единичные орты" - но k не фигурирует в зависимостях.
При попытках заменить Ваше неряшливое B(t/tau) на B^(t/tau) или на B*(t/tau) решение по единому орту j приводит к ответам, отличным от Вашего 0,857 м/с .
Я подозреваю, Вы халатно отнеслись к написанию условия задачи, а эксперты вынуждены ломать головы в догадках.
"j, k – единичные орты" - но k не фигурирует в зависимостях.
При попытках заменить Ваше неряшливое B(t/tau) на B^(t/tau) или на B*(t/tau) решение по единому орту j приводит к ответам, отличным от Вашего 0,857 м/с .
Я подозреваю, Вы халатно отнеслись к написанию условия задачи, а эксперты вынуждены ломать головы в догадках.
05.10.2019, 15:38
общий
это ответ
Здравствуйте, dar777!
Дано: v[sub]0[/sub]=-2j м/с -- начальная скорость частицы; a=3tj м/с2 -- ускорение частицы.
Определить: v(1) -- модуль скорости частицы в момент времени t=1 с.
Решение
Согласно [1, с. 15], a=dv/dt. Поэтому учитывая, что скорость и ускорение частицы направлены вдоль одной и той же прямой, получим в проекциях на ось ординат
Ответ: 0,5 м/с.
Литература
1. Яворский Б. М., Детлаф А. А., Лебедев А. К. Справочник по физике для инженеров и студентов вузов. -- М.: ООО "Издательство Оникс", 2007. -- 1056 с.
Дано: v[sub]0[/sub]=-2j м/с -- начальная скорость частицы; a=3tj м/с2 -- ускорение частицы.
Определить: v(1) -- модуль скорости частицы в момент времени t=1 с.
Решение
Согласно [1, с. 15], a=dv/dt. Поэтому учитывая, что скорость и ускорение частицы направлены вдоль одной и той же прямой, получим в проекциях на ось ординат
ay=dvy/dt,
dvy=aydt,
v0[$8747$]vdvy=0[$8747$]taydt,
v0[$8747$]vdvy=0[$8747$]t3tdt,
vy-v0=3t2/2,
vy=v0+3t2/2,
vy(1)=-2+3*12/2=-0,5 (м/с),
v(1)=|-0,5|=0,5 (м/с).
Ответ: 0,5 м/с.
Литература
1. Яворский Б. М., Детлаф А. А., Лебедев А. К. Справочник по физике для инженеров и студентов вузов. -- М.: ООО "Издательство Оникс", 2007. -- 1056 с.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
02.12.2020, 12:03
общий
02.12.2020, 12:05
Добрый день. Прошу Вас ответь на данный вид задачи. Частица начала свое движение из начала координат с начальной скоростью r0? = -?k * A и с ускорением, которое зависит от времени по закону ?a(t) = ?j * B(t/?)3 , где A, B – постоянная величина, ?k, ?j – единичные орты в декартовой системе координат. Каков модуль скорости частицы в момент времени t = 1 c, если ? = 1 c. А = 3 м/с, В = 4 м/с3
а) 1,28 м/с; б) 3,28 м/с; в) 5,28 м/с ; г) 7,28 м/с; д) 9,28 м/с ;
а) 1,28 м/с; б) 3,28 м/с; в) 5,28 м/с ; г) 7,28 м/с; д) 9,28 м/с ;
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