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Консультация № 179090
14.06.2010, 15:21
35.95 руб.
0
1
1
Здравствуйте! Есть задача:
Брусок массы m = 1 кг находится на горизонтальной плоскости с коэффициентом трения k = 0,27. В некоторый момент ему сообщили начальную скорость v0 = 1,5 м/с. Найти среднюю мощность силы трения за всё время движения бруска.
Помогите её, пожалуйста, решить. Спасибо.
Брусок массы m = 1 кг находится на горизонтальной плоскости с коэффициентом трения k = 0,27. В некоторый момент ему сообщили начальную скорость v0 = 1,5 м/с. Найти среднюю мощность силы трения за всё время движения бруска.
Помогите её, пожалуйста, решить. Спасибо.
Обсуждение
14.06.2010, 19:10
общий
это ответ
Здравствуйте, MrSpencer.
Дано:
m
k
v0
Найти:
<N>
Решение:
Согласно 2 з-ну Ньютона
Fтр=ma
по определению
Fтр=kN=kmg (здесь N - сила нормальной реакции опоры)
Следовательно, ускорение бруска
a=kg (1) (по величине)
время до полной остановки
t=v0/a = v0/kg (2)
Работа силы трения равна изменению кинетической энергии
По величине
A=mv02/2 (3)
По определению средняя мощность
<N>=A/t (4)
Подставляем (2) и (3) в (4)
Получаем
<N>=(1/2)*m*v0*k*g
<N>=2 Вт
Удачи
Дано:
m
k
v0
Найти:
<N>
Решение:
Согласно 2 з-ну Ньютона
Fтр=ma
по определению
Fтр=kN=kmg (здесь N - сила нормальной реакции опоры)
Следовательно, ускорение бруска
a=kg (1) (по величине)
время до полной остановки
t=v0/a = v0/kg (2)
Работа силы трения равна изменению кинетической энергии
По величине
A=mv02/2 (3)
По определению средняя мощность
<N>=A/t (4)
Подставляем (2) и (3) в (4)
Получаем
<N>=(1/2)*m*v0*k*g
<N>=2 Вт
Удачи
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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