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Консультация № 196240
28.08.2019, 10:02
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
На гладкой горизонтальной поверхности лежит шайба массой m =120 г. На неё налетает шайба, движущаяся с некоторой скоростью. Происходит абсолютно упругий удар. В результате скорость налетающей шайбы уменьшается по величине в k =3 раза и становится перпендикулярна начальной. Найдите массу M налетающей шайбы.
На гладкой горизонтальной поверхности лежит шайба массой m =120 г. На неё налетает шайба, движущаяся с некоторой скоростью. Происходит абсолютно упругий удар. В результате скорость налетающей шайбы уменьшается по величине в k =3 раза и становится перпендикулярна начальной. Найдите массу M налетающей шайбы.
Обсуждение
01.09.2019, 08:34
общий
это ответ
Здравствуйте, irinasoboleva76!
Направим ось абсцисс лабораторной системы отсчёта по направлению движения подвижной шайбы до удара, ось ординат -- по направлению движения подвижной шайбы после удара. Обозначим скорости шайб до и после удара так: первой шайбы
второй шайбы -- 
Согласно закону сохранения импульса [1, с. 42],
или, в проекциях на координатные оси,
Тогда
и
Согласно закону сохранения кинетической энергии [1, с. 72],
Разделив уравнение (1) на уравнение (2), получим, что
(г).
Вопрос о возможности ситуации, описанной в задаче, я не буду рассматривать.
Литература
1. Яворский Б. М., Детлаф А. А., Лебедев А. К. Справочник по физике для инженеров и студентов вузов. -- М.: ООО "Издательство Оникс", 2007. -- 1056 с.
Направим ось абсцисс лабораторной системы отсчёта по направлению движения подвижной шайбы до удара, ось ординат -- по направлению движения подвижной шайбы после удара. Обозначим скорости шайб до и после удара так: первой шайбы
второй шайбы -- Согласно закону сохранения импульса [1, с. 42],или, в проекциях на координатные оси,
Тогда
иСогласно закону сохранения кинетической энергии [1, с. 72],
Разделив уравнение (1) на уравнение (2), получим, что
(г).Вопрос о возможности ситуации, описанной в задаче, я не буду рассматривать.
Литература
1. Яворский Б. М., Детлаф А. А., Лебедев А. К. Справочник по физике для инженеров и студентов вузов. -- М.: ООО "Издательство Оникс", 2007. -- 1056 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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