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Консультация № 190972
08.05.2017, 17:56
0.00 руб.
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Допустим, что вес тела на Земле измеряют дважды: на экваторе и в окрестности полюса, где влияние вращения Земли можно считать пренебрежимо малым. На какой высоте H проводились измерения в приполярной области, если результаты измерений одинаковы?
Допустим, что вес тела на Земле измеряют дважды: на экваторе и в окрестности полюса, где влияние вращения Земли можно считать пренебрежимо малым. На какой высоте H проводились измерения в приполярной области, если результаты измерений одинаковы?
Обсуждение
10.05.2017, 10:43
общий
это ответ
Здравствуйте, vlaad!
На экваторе на тело действуют сила тяжести
направленная к центру Земли, и сила 
реакции связи (например, опоры или подвеса), направленная от центра Земли. Равнодействующей этих сил является центростремительная сила 
имеющая величину 
где 
- радиус Земли, 
- период ращения Земли вокруг своей оси. Согласно второму закону Ньютона,
Вес
тела на экваторе приложен к связи, имеет величину, равную 
и направлен противоположно силе 
В приполярной области (будем считать, что на оси вращения Земли) на высоте
над земной поверхностью на тело действует сила тяжести 
направленная к центру Земли и имеющая величину 
и сила 
реакции связи, направленная от центра Земли. Согласно второму закону Ньютона,
Вес
тела в приполярной области приложен к связи, имеет величину, равную 
и направлен противоположно силе 
Если
то, в соответствии с формулами 
откуда (выкладки опускаем)
(м).
Значит, измерения в приполярной области производились на высоте
км.
На экваторе на тело действуют сила тяжести
направленная к центру Земли, и сила реакции связи (например, опоры или подвеса), направленная от центра Земли. Равнодействующей этих сил является центростремительная сила имеющая величину где - радиус Земли, - период ращения Земли вокруг своей оси. Согласно второму закону Ньютона,Вес
тела на экваторе приложен к связи, имеет величину, равную и направлен противоположно силе В приполярной области (будем считать, что на оси вращения Земли) на высоте
над земной поверхностью на тело действует сила тяжести направленная к центру Земли и имеющая величину и сила реакции связи, направленная от центра Земли. Согласно второму закону Ньютона,Вес
тела в приполярной области приложен к связи, имеет величину, равную и направлен противоположно силе Если
то, в соответствии с формулами откуда (выкладки опускаем)
(м).Значит, измерения в приполярной области производились на высоте
км.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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