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Консультация № 200188
29.01.2021, 16:52
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Здравствуйте! Прошу помощи в следующем вопросе: Игрушечный радиоуправляемый вертолет массой m летит прямолинейно и равномерно со скоростью υ=0,8м/с, направленной горизонтально. Действующая на него сила сопротивления воздуха пропорциональна скорости:=-k(-kv). При этом развиваемая моторчиком сила тяги направлена углом α=300к скорости. Когда массу вертолета увеличили на 1/5 от первоначального значения, угол направления силы тяги к горизонту пришлось увеличить вдвое, чтобы движение осталось равномерным и прямолинейным. Какова скорость вертолета после увеличения его массы?
Обсуждение
31.01.2021, 11:15
общий
Адресаты:
сила сопротивления воздуха пропорциональна скорости:=-k(-kv).
Об авторе:
С уважением
shvetski
С уважением
shvetski
03.02.2021, 17:05
общий
03.02.2021, 17:10
Уважаемые модераторы и администраторы.
Вероятно, что мне не хватило несколько секунд, чтоб ответить на этот вопрос - отправляю ответ, но система не дает... возможности.
Может еще можно продлить и вставить мой ответ? - он у меня сохранен в буфере или сюда его скинуть лучше? А то потеряется - обидно
***
Оставлю здесь - если сочтете нужным, то вставьте, пожалуйста, мой ответ, где он и должен быть, спасибо
***
Здравствуйте, kuznetsova.79!
Дано:
m1
v=0.8 м/с
Fc=-kv
[$945$]=30o
m2=(6/5)*m1
Найти: v2
Решение:
1. В проекции на ось х
F1*cos[$945$]=kv1 (1)
F2*cos(2[$945$])=kv2 (2)
Поделим (1) на (2)
получим
F1/F2 = (v1/v2)*(cos60[$186$]/cos30[$186$]) = (v1/v2)/[$8730$]3 (3)
2. В проекции на ось у
F1*sin[$945$]=m1g (4)
F2*sin(2[$945$])=(6/5)m1g (5)
Поделим (4) на (5)
получим
(F1/F2)/[$8730$]3=5/6 (6)
3. Решам систему уравнений (3) и (6) - получаем
v2=(5/6)*v1
v2=0.8*5/6 = 0.67 м/с
Вероятно, что мне не хватило несколько секунд, чтоб ответить на этот вопрос - отправляю ответ, но система не дает... возможности.
Может еще можно продлить и вставить мой ответ? - он у меня сохранен в буфере или сюда его скинуть лучше? А то потеряется - обидно
***
Оставлю здесь - если сочтете нужным, то вставьте, пожалуйста, мой ответ, где он и должен быть, спасибо
***
Здравствуйте, kuznetsova.79!
Дано:
m1
v=0.8 м/с
Fc=-kv
[$945$]=30o
m2=(6/5)*m1
Найти: v2
Решение:
1. В проекции на ось х
F1*cos[$945$]=kv1 (1)
F2*cos(2[$945$])=kv2 (2)
Поделим (1) на (2)
получим
F1/F2 = (v1/v2)*(cos60[$186$]/cos30[$186$]) = (v1/v2)/[$8730$]3 (3)
2. В проекции на ось у
F1*sin[$945$]=m1g (4)
F2*sin(2[$945$])=(6/5)m1g (5)
Поделим (4) на (5)
получим
(F1/F2)/[$8730$]3=5/6 (6)
3. Решам систему уравнений (3) и (6) - получаем
v2=(5/6)*v1
v2=0.8*5/6 = 0.67 м/с
Об авторе:
С уважением
shvetski
С уважением
shvetski
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