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Здравствуйте! Прошу помощи в следующем вопросе (у меня получилось,что искомое r равно sqrt(2)*Rземли,но такого быть не может): На каком кратчайшем расстоянии S от экватора находятся точки земной поверхности, ускорение которых, обусловленное суточным вращением Земли, вдвое меньше по величине ускорения точек на экваторе? Заранее спасибо
Точка земной поверхности 1 в условии задачи(лежит радиусе r) Точка 2 на экваторе Расстояние от 1 до 2 равно S R - радиус Земли, М - масса Земли ma1=GmM/(r^2)=ma2/2 GM/(r^2)=GM/(2*R^2) Отсюда r=Sqrt(2)*R, но здесь я остановился,т.к. такого быть не может
Сначала нужно вычислить ускорение, обусловленное суточным вращением Земли, на экваторе. Затем нужно вычислить широту, на которой ускорение, обусловленное суточным вращением Земли, вдвое меньше по величине соответствующего ускорения на экваторе. Затем нужно вычислить искомое расстояние, рассмотрев некий треугольник в осевом сечении Земли.
А почему Вы не захотели показать подробно, как решали задачу, после моего совета?
Или Вы предпочитаете получать готовые решения? Это плохо, учитывая, что задачи, при решении которых у Вас возникают проблемы, относятся к повышенному уровню сложности. Я в своё время такими задачами принципиально не интересовался, потому что не собирался поступать в престижный вуз. Мне достаточно было сдать на "отлично" вступительный экзамен по математике. Вы же, по-видимому, собираетесь поступать именно в престижный вуз. А зачем, если затруднения у Вас возникают уже теперь? Вы представляете себе, насколько перегружены Вы будете во время учёбы в вузе?
Мой жизненный путь уже заканчивается. Никаких хороших перспектив у меня уже нет. Поэтому я могу позволить себе роскошь решать посильные мне задачи, пусть у них и повышенный уровень сложности. Но Вам-то зачем этот ужас?
Хочется все-таки попробовать себя. А вопросы возникают,потому что на данный момент я не успеваю решить все задания к определённому сроку, и поэтому мне нужна помощь. А решение получилось такое: Точка земной поверхности А - на радиусе r, точка B на R, О - центр земли a(а) - ускорение с индексом точки A 1) а(а)=r*W^2 a(b)=R*W^2, исходя из условия получаем,что 2r=R 2)далее докажем, что треугольник OAB равносторонний (опустив высоту из точки А на радиус земли) и тогда получается,что AB=S=R
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