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Консультация № 196119
14.08.2019, 15:22
0.00 руб.
1
1
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Здравствуйте! Прошу помощи в следующем вопросе:
В свинцовом шаре радиуса R сделана сферическая полость радиуса R/2, поверхность которой касается шара. Масса сплошного шара была равна M. С какой силой F свинцовый шар будет притягивать маленький шарик массы m, находящийся на расстоянии d от центра свинцового шара на продолжении прямой, соединяющей центр свинцового шара с центром полости?
Ответ F = GMm(1/d^2-1/8(d-R/2)^2)
В свинцовом шаре радиуса R сделана сферическая полость радиуса R/2, поверхность которой касается шара. Масса сплошного шара была равна M. С какой силой F свинцовый шар будет притягивать маленький шарик массы m, находящийся на расстоянии d от центра свинцового шара на продолжении прямой, соединяющей центр свинцового шара с центром полости?
Ответ F = GMm(1/d^2-1/8(d-R/2)^2)
Прикрепленные файлы:
Обсуждение
18.08.2019, 12:59
общий
это ответ
Здравствуйте, dar777!
Воспользуемся тем, что два однородных шара притягиваются друг к другу так, как если бы масса каждого шара была сосредоточена в его центре [1, с. 309]. Если бы в шаре, указанном в задаче, не было полости, то сила
имела бы величину
[1, с. 303]. Наличие полости равносильно наложению отрицательной массы, равной
расположенной на расстоянии 
от маленького шарика [2, с. 253] и, соответственно, силы отталкивания
Тогда искомая сила имеет величину
Литература
1. Сивухин Д. В. Общий курс физики. В 5 т. Т. 1. -- М.: Наука, 1979. -- 520 с.
2. Буховцев Б. Б. и др. Сборник задач по элементарной физике. -- М.: Наука, 1966. -- 440 с.
Воспользуемся тем, что два однородных шара притягиваются друг к другу так, как если бы масса каждого шара была сосредоточена в его центре [1, с. 309]. Если бы в шаре, указанном в задаче, не было полости, то сила
имела бы величину[1, с. 303]. Наличие полости равносильно наложению отрицательной массы, равной
расположенной на расстоянии от маленького шарика [2, с. 253] и, соответственно, силы отталкиванияТогда искомая сила имеет величину
Литература
1. Сивухин Д. В. Общий курс физики. В 5 т. Т. 1. -- М.: Наука, 1979. -- 520 с.
2. Буховцев Б. Б. и др. Сборник задач по элементарной физике. -- М.: Наука, 1966. -- 440 с.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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