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Консультация № 161302
24.02.2009, 16:54
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Здравствуйте Уважаемые!
Помогите пожалуйста с задачей:
Маленький шарик массы m=0,4 г падает в некоторой жидкости без начальной скорости и при этом испытывает силу сопротивления F=kv, где k=0,2 кг/с - коэффициент сопротивления, v - скорость шарика. Определить максимальную скорость шарика, если плотность жидкости в 2 раза меньше плотности шарика.
Если не сложно приведите ссылки на литературу по теме.
Спасибо!
Помогите пожалуйста с задачей:
Маленький шарик массы m=0,4 г падает в некоторой жидкости без начальной скорости и при этом испытывает силу сопротивления F=kv, где k=0,2 кг/с - коэффициент сопротивления, v - скорость шарика. Определить максимальную скорость шарика, если плотность жидкости в 2 раза меньше плотности шарика.
Если не сложно приведите ссылки на литературу по теме.
Спасибо!
Обсуждение
24.02.2009, 17:17
общий
это ответ
Здравствуйте, Arykray!
На шарик действуют 3 силы:
Сила тяжести Fg=mg=4*10-4кг*10м/с2=4*10-3 Н, направленная вниз
сила Архимеда Fa=V*ρж*g=(m/ρ)*ρж*g=mg*(ρж/ρ)=0,5mg=2*10-3 Н, напавленная вверх
и сила сопротивления F=kv, направленная против направленя движения, то есть вверх
При максимальной скорости сумма всех сил становится равной нулю (поэтому шарик больше не набирает скорость), следовательно, сила сопротивлени становится равна
F=Fg-Fa=2*10-3 Н=0,002 Н
Отсюда получаем скорость
v=F/k=0,002Н/0,2кг/с=0,01 м/с=1 см/с
На шарик действуют 3 силы:
Сила тяжести Fg=mg=4*10-4кг*10м/с2=4*10-3 Н, направленная вниз
сила Архимеда Fa=V*ρж*g=(m/ρ)*ρж*g=mg*(ρж/ρ)=0,5mg=2*10-3 Н, напавленная вверх
и сила сопротивления F=kv, направленная против направленя движения, то есть вверх
При максимальной скорости сумма всех сил становится равной нулю (поэтому шарик больше не набирает скорость), следовательно, сила сопротивлени становится равна
F=Fg-Fa=2*10-3 Н=0,002 Н
Отсюда получаем скорость
v=F/k=0,002Н/0,2кг/с=0,01 м/с=1 см/с
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