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Консультация № 191818
21.11.2017, 11:05
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Здравствуйте! Прошу помощи в следующем вопросе:
Какую начальную скорость следует сообщить ракете, пущенной с поверхности Земли вертикально вверх, чтобы она поднялась на высоту h, равную двум радиусам Земли?
Какую начальную скорость следует сообщить ракете, пущенной с поверхности Земли вертикально вверх, чтобы она поднялась на высоту h, равную двум радиусам Земли?
Обсуждение
21.11.2017, 16:16
общий
это ответ
Здравствуйте, cot.ru!
Предположим, что ракета массой
запускается из пушки. Пусть на поверхности Земли (то есть на расстоянии, равном радиусу 
от центра Земли) ракета обладает потенциальной энергией 
и кинетической энергией 
Пусть на высоте 
(то есть на расстоянии 
от центра Земли) ракета обладает кинетической энергией 
и потенциальной энергией 
где 
- гравитационная постоянная, 
- масса Земли. Если пренебречь силами сопротивления движению, то по закону сохранения механической энергии
(м/с) - искомая скорость.
Предположим, что ракета массой
запускается из пушки. Пусть на поверхности Земли (то есть на расстоянии, равном радиусу от центра Земли) ракета обладает потенциальной энергией и кинетической энергией Пусть на высоте (то есть на расстоянии от центра Земли) ракета обладает кинетической энергией и потенциальной энергией где - гравитационная постоянная, - масса Земли. Если пренебречь силами сопротивления движению, то по закону сохранения механической энергии (м/с) - искомая скорость.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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