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Консультация № 178136
01.05.2010, 08:46
0.00 руб.
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Уважаемые эксперты, помогите решить задачу: В воду опущена на очень малую глубину стеклянная трубка с диаметром канала d = 1 мм. Определить массу m воды, вошедшей в трубку.
Большое спасибо.
Большое спасибо.
Обсуждение
01.05.2010, 12:29
общий
это ответ
Здравствуйте, Мит Мит Мит.
Будем считать, что стеклянная трубка представляет собой капилляр. Тогда вода поднимется вверх по трубке под действием силы F поверхностного натяжения (F = πdσ, где σ = 7,4 ∙ 10-2 Н/м – коэффициент поверхностного натяжения воды), которая уравновешивается силой P тяжести, действующей на столб воды (P = mg). Следовательно, πdσ = mg, откуда находим
m = πdσ/g = π ∙ 1 ∙ 10-3 ∙ 7,4 ∙ 10-2/9,81 ≈ 2,4 ∙ 10-5 (кг).
Ответ: 2,4 ∙ 10-5 кг.
С уважением.
Будем считать, что стеклянная трубка представляет собой капилляр. Тогда вода поднимется вверх по трубке под действием силы F поверхностного натяжения (F = πdσ, где σ = 7,4 ∙ 10-2 Н/м – коэффициент поверхностного натяжения воды), которая уравновешивается силой P тяжести, действующей на столб воды (P = mg). Следовательно, πdσ = mg, откуда находим
m = πdσ/g = π ∙ 1 ∙ 10-3 ∙ 7,4 ∙ 10-2/9,81 ≈ 2,4 ∙ 10-5 (кг).
Ответ: 2,4 ∙ 10-5 кг.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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