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Консультация № 190568
17.02.2017, 16:57
0.00 руб.
20.02.2017, 09:58
1
1
1
Здравствуйте, уважаемые эксперты! Помогите с задачкой! Заранее благодарю! 
На пути тележки массой
скользящей по гладкому горизонтальному столу со скоростью 
находится незакреплённая горка высотой 
и массой 
Тележка по горке, а также горка по столу скользят без трения. Скорость тележки 
недостаточна, чтобы преодолеть горку. На какую максимальную высоту поднимется тележка? Какие скорости 
и 
приобретут тележка и горка, когда тележка съедет с горки, не добравшись до вершины?
На пути тележки массой
скользящей по гладкому горизонтальному столу со скоростью находится незакреплённая горка высотой и массой Тележка по горке, а также горка по столу скользят без трения. Скорость тележки недостаточна, чтобы преодолеть горку. На какую максимальную высоту поднимется тележка? Какие скорости и приобретут тележка и горка, когда тележка съедет с горки, не добравшись до вершины?
Прикрепленные файлы:
Обсуждение
20.02.2017, 09:57
общий
это ответ
Здравствуйте, Валерий!
Пока тележка не въехала на горку, импульс системы тел, состоящих из тележки и горки, равен
а кинетическая энергия равна 
В момент, когда тележка поднимется на максимальную высоту
скорости тележки и горки будут одинаковыми. Обозначим эту скорость как 
Согласно закону сохранения импульса,
Согласно закону сохранения механической энергии,
Тогда
В момент, когда тележка съедет с горки, соответственно получим
(вектор
направлен противоположно вектору 
),
Тогда
(этот результат соответствует случаю, когда тележка проезжает всю горку),
(этот результат соответствует указанному в условии задачи случаю).
Итак, тележка поднимется на максимальную высоту, равную
Тележка приобретёт скорость
Горка приобретёт скорость
Пока тележка не въехала на горку, импульс системы тел, состоящих из тележки и горки, равен
а кинетическая энергия равна В момент, когда тележка поднимется на максимальную высоту
скорости тележки и горки будут одинаковыми. Обозначим эту скорость как Согласно закону сохранения импульса,Согласно закону сохранения механической энергии,
Тогда
В момент, когда тележка съедет с горки, соответственно получим
(вектор
направлен противоположно вектору ),Тогда
(этот результат соответствует случаю, когда тележка проезжает всю горку),
(этот результат соответствует указанному в условии задачи случаю).
Итак, тележка поднимется на максимальную высоту, равную
Тележка приобретёт скорость
Горка приобретёт скорость
5
Благодарю!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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