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Задать вопрос экспертам

Консультация № 200173

27.01.2021, 20:39

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Образование

Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:С самолета, летящего горизонтально на высоте 500 м с постоянной
скоростью 300 м/с, сбрасывается бомба. На каком расстоянии по
горизонтали должна быть сброшена бомба, чтобы она попала в цель, если
цель движется в том же направлении со скоростью 20 м/с? Под каким
углом упадет бомба?

Обсуждение

давно

Посетитель
226425
1567

28.01.2021, 12:12

общий

это ответ

Здравствуйте, aidakozhamzharova!
Рассмотрим движение в системе отсчета связанной с движущейся целью.
1. Скорость самолета и, соответственно, начальная скорость бомбы относительно цели (в проекции на горизонтальную ось х)
v_o=v_c-v_ц = 300-20 = 280 м/с
2. Относительно вертикальной оси (оси y, направленной вертикально вниз) движение бомбы описывается уравнением
y=gt²/2
у=Н - высота полета; g=10 м/с² - ускорение свободного падения.
[$8658$]
время полета бомбы до земли
t=[$8730$](2H/g) = [$8730$](2*500/10) = 10 c
3. Относительно горизонтальной оси (оси х), бомба, двигаясь равномерно, за это время преодолеет расстояние
S=v_o*t = 280*10 = 2800 м
Ответ: выпустить бомбу необходимо за 2800 м до цели

Об авторе:
С уважением
shvetski

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