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Консультация № 196144
17.08.2019, 18:51
0.00 руб.
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1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
При падении тела с большой высоты в воздухе через некоторый промежуток времени его скорость становится постоянной. Учитывая, что сила лобового сопротивления прямо пропорциональна площади поперечного сечения тела и квадрату его скорости, определите отношение установившихся скоростей VR/Vr двух шаров радиусами R и r. Шары изготовлены из одного и того же материала.
VR/Vr = кореньR/r
При падении тела с большой высоты в воздухе через некоторый промежуток времени его скорость становится постоянной. Учитывая, что сила лобового сопротивления прямо пропорциональна площади поперечного сечения тела и квадрату его скорости, определите отношение установившихся скоростей VR/Vr двух шаров радиусами R и r. Шары изготовлены из одного и того же материала.
VR/Vr = кореньR/r
Обсуждение
18.08.2019, 10:25
общий
это ответ
Здравствуйте, dar777!
При установившемся движении шарика массой
его ускорение равно нулю, а второй закон Ньютона можно записать так:
где
-- коэффициент пропорциональности; 
-- площадь поперечного сечения шарика; 
-- скорость шарика. Тогда
Из последнего уравнения, рассматривая движение двух указанных в условии задачи шариков, получим
При установившемся движении шарика массой
его ускорение равно нулю, а второй закон Ньютона можно записать так:где
-- коэффициент пропорциональности; -- площадь поперечного сечения шарика; -- скорость шарика. ТогдаИз последнего уравнения, рассматривая движение двух указанных в условии задачи шариков, получим
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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