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Консультация № 159445
03.02.2009, 04:42
0.00 руб.
0
5
1
Груз массой 100 кг поднимают из состояния покоя равноускоренно на высоту 0,5 м за 1 с. Найти работу, выполненную при подъеме груза.
Обсуждение
03.02.2009, 07:54
общий
это ответ
Здравствуйте, Trulala!
Груз массой m = 100 кг поднимают из состояния покоя равноускоренно на высоту H = 0.5 м за время t = 1 с, след-но, средняя скорость подъёма Vср = H/t (1). С другой стороны, скорость равномерно растёт от 0 до максимального значения Vмакс в конце подъёма, поэтому Vср = (0 + Vмакс)/2 = Vмакс/2, откуда Vмакс = 2*Vср = 2*H/t (2). Выполненная работа A затрачена на приращение потенциальной энергии груза П = m*g*H (3), где g ≈ 9.8 м/с² - ускорение свободного падения, и на придание грузу кинетической энергии К = m*Vмакс2/2 (4). Из этих соотношений получаем: A = П + К = m*H*(g + 2*H/t2) = 100*0.5*(9.8 + 2*0.5/12) = 540 Дж.
Груз массой m = 100 кг поднимают из состояния покоя равноускоренно на высоту H = 0.5 м за время t = 1 с, след-но, средняя скорость подъёма Vср = H/t (1). С другой стороны, скорость равномерно растёт от 0 до максимального значения Vмакс в конце подъёма, поэтому Vср = (0 + Vмакс)/2 = Vмакс/2, откуда Vмакс = 2*Vср = 2*H/t (2). Выполненная работа A затрачена на приращение потенциальной энергии груза П = m*g*H (3), где g ≈ 9.8 м/с² - ускорение свободного падения, и на придание грузу кинетической энергии К = m*Vмакс2/2 (4). Из этих соотношений получаем: A = П + К = m*H*(g + 2*H/t2) = 100*0.5*(9.8 + 2*0.5/12) = 540 Дж.
04.02.2009, 03:28
общий
Спасибо за оценку, а то мне однажды (когда, кто - уже не помню) поставили "4", теперь Вы дополнили до "5".
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