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Консультация № 195960
14.07.2019, 17:55
0.00 руб.
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1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
1. Кусок пробки в воздухе весит 0,15 Н. Кусок свинца весит 1,14 Н. Если, связав их вместе, подвесит оба куска к чашке весов и опустить в керосин, то показание весов будет 0,70 Н. Найти плотность пробки, полагая плотность свинца равной 11,4•10^3 кг/м^3, а плотность керосина равной 0,81•10^3 кг/м^3.
1. Кусок пробки в воздухе весит 0,15 Н. Кусок свинца весит 1,14 Н. Если, связав их вместе, подвесит оба куска к чашке весов и опустить в керосин, то показание весов будет 0,70 Н. Найти плотность пробки, полагая плотность свинца равной 11,4•10^3 кг/м^3, а плотность керосина равной 0,81•10^3 кг/м^3.
Обсуждение
16.07.2019, 11:53
общий
это ответ
Здравствуйте, dar777!
Особенность задачи : На связку обоих кусков (пробка + свинец), опущеную в керосин, действует не только сила тяжести Земли, но ещё и Выталкивающая сила Fвыт , равная по закону Архимеда весу жидкости, вытесненной связкой утонувших тел. Направление вектора этой Выталкивающей силы противоположно направлению силы тяжести. Запишем ключевую формулу :
F2 = Fпр + Fсв - Fвыт
Тут F2 - показание весов для обоих, связанных кусков, опущеных в керосин.
Fпр и Fсв - вес куска пробки и вес куска свинца соответственно. Пренебрегаем мизерной выталкивающей силой воздуха.
Вес Fсв куска свинца, его объём Vсв и плотность [$961$]св связаны соотношением :
Fсв = Vсв * [$961$]св * g , где g=9,81 м / сек2 - ускорение свободного падения на поверхности Земли.
Аналогичная связь существует и для куска пробки Fпр = Vпр * [$961$]пр * g
Вычисления удобно делать в бесплатном приложении ru.wikipedia.org/wiki/Mathcad . Маткад вычисляет всё быстро и страхует от ошибок типа "человеческий фактор". Маткад-скриншот прилагаю. Я добавил в него подробные комментарии зелёным цветом.
Особенность задачи : На связку обоих кусков (пробка + свинец), опущеную в керосин, действует не только сила тяжести Земли, но ещё и Выталкивающая сила Fвыт , равная по закону Архимеда весу жидкости, вытесненной связкой утонувших тел. Направление вектора этой Выталкивающей силы противоположно направлению силы тяжести. Запишем ключевую формулу :
F2 = Fпр + Fсв - Fвыт
Тут F2 - показание весов для обоих, связанных кусков, опущеных в керосин.
Fпр и Fсв - вес куска пробки и вес куска свинца соответственно. Пренебрегаем мизерной выталкивающей силой воздуха.
Вес Fсв куска свинца, его объём Vсв и плотность [$961$]св связаны соотношением :
Fсв = Vсв * [$961$]св * g , где g=9,81 м / сек2 - ускорение свободного падения на поверхности Земли.
Аналогичная связь существует и для куска пробки Fпр = Vпр * [$961$]пр * g
Вычисления удобно делать в бесплатном приложении ru.wikipedia.org/wiki/Mathcad . Маткад вычисляет всё быстро и страхует от ошибок типа "человеческий фактор". Маткад-скриншот прилагаю. Я добавил в него подробные комментарии зелёным цветом.
5
Это самое лучшее решение!
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