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Консультация № 199323
15.10.2020, 21:00
0.00 руб.
1
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Автомобиль движется по дороге, профиль которой показан на рисунке. Модуль скорости автомобиля v=72 км/ч , радиус кривизны профиля дороги R=200м . Определите массу m автомобиля, если в точке B модуль его силы давления на дорогу F=24 кН .
Автомобиль движется по дороге, профиль которой показан на рисунке. Модуль скорости автомобиля v=72 км/ч , радиус кривизны профиля дороги R=200м . Определите массу m автомобиля, если в точке B модуль его силы давления на дорогу F=24 кН .
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Обсуждение
17.10.2020, 22:27
общий
это ответ
Здравствуйте, Ника!
Перечертим автомобиль - перенесем его на дно вогнутого профиля.
Дано:
v=72 км/ч = 20 м/с
R=200 м
F=24 кН = 24*103Н
Найти: m
Решение:
По 2 закону Ньютона
m*[b]g[/b]+[b]N[/b]=m*[b]a[/b]
В проекции на ось [b]х[/b] имеем
-mg+N=ma ............. (1)
- здесь N - сила реакции опоры, а - центростремительное ускорение
a=v2/R ............. (2)
Согласно 3 закону Ньютона
N=F ..................... (3)
Решаем систему уравнений (1), (2), (3) - выражаем m
m= F/[(v2/R)+g] = 2*103 кг = 2 т
Перечертим автомобиль - перенесем его на дно вогнутого профиля.
Дано:
v=72 км/ч = 20 м/с
R=200 м
F=24 кН = 24*103Н
Найти: m
Решение:
По 2 закону Ньютона
m*[b]g[/b]+[b]N[/b]=m*[b]a[/b]
В проекции на ось [b]х[/b] имеем
-mg+N=ma ............. (1)
- здесь N - сила реакции опоры, а - центростремительное ускорение
a=v2/R ............. (2)
Согласно 3 закону Ньютона
N=F ..................... (3)
Решаем систему уравнений (1), (2), (3) - выражаем m
m= F/[(v2/R)+g] = 2*103 кг = 2 т
4
Об авторе:
С уважением
shvetski
С уважением
shvetski
17.10.2020, 23:31
общий
Адресаты:
Здравствуйте, как ни пыталась подставить цифры в эти формулы, ответ 2 т не получается, не могли бы вы пожалуйста последнее действие подробно написать?
18.10.2020, 08:38
общий
Адресаты:
Я проверил решение эксперта Konstantin Shvetski в вычислителе Маткад (ссылка) .
Ответ 2,0 т правильный с точностью до десятых долей.
Может, Вам нужна более высокая точность? Какая?
Прилагаю скриншот моего решения.
Ответ 2,0 т правильный с точностью до десятых долей.
Может, Вам нужна более высокая точность? Какая?
Прилагаю скриншот моего решения.
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