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Консультация № 184142
05.10.2011, 02:13
0.00 руб.
13.06.2013, 13:37
0
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
Господа эксперты помогите пожалуйста.
пружина самострела в ненапряженном состоянии имеет длину 20см. Сила, необходимая для изменения её длины на 1см, равна 2Н. С какой скоростью вылетит из самострела шарик массы 30г, если пружина была сжата до длины 10см? Самострел расположен горизонтально. Ссылка на рисунок здесь
С глубоким уважением!
Приложение:
http://files.mail.ru/XRU6GP?t=1 ссылка на рисунок
Господа эксперты помогите пожалуйста.
пружина самострела в ненапряженном состоянии имеет длину 20см. Сила, необходимая для изменения её длины на 1см, равна 2Н. С какой скоростью вылетит из самострела шарик массы 30г, если пружина была сжата до длины 10см? Самострел расположен горизонтально. Ссылка на рисунок здесь
С глубоким уважением!
Приложение:
http://files.mail.ru/XRU6GP?t=1 ссылка на рисунок
Обсуждение
05.10.2011, 08:37
общий
это ответ
Здравствуйте, Кудинов Иван Николаевич!
Дано: F[sub]см[/sub] = 2 Н/см - сила, необходимая для изменения длины пружины на l = 1 см = 0.01 м; m = 30 г = 0.03 кг - масса шарика; L = 10 см = 0.1 м - сжатие пружины. Скорость шарика V = ?.
Решение. Жёсткость пружины k = F[sub]см[/sub]/l = 2/0.01 = 200 Н/м. Энергия деформации, запасённая в сжатой пружине: Э[sub]д[/sub] = k*L[sup]2[/sup]/2 (1). При выстреле эта энергия переходит в кинетическую энергию вылетевшего шарика Э[sub]к[/sub] = m*V[sup]2[/sup]/2 (2). Приравняв (1) и (2), получаем: V = L*[size=3][$8730$][/size](k/m) = 0.1*[size=3][$8730$][/size](200/0.03) = 8.165 м/с.
Дано: F[sub]см[/sub] = 2 Н/см - сила, необходимая для изменения длины пружины на l = 1 см = 0.01 м; m = 30 г = 0.03 кг - масса шарика; L = 10 см = 0.1 м - сжатие пружины. Скорость шарика V = ?.
Решение. Жёсткость пружины k = F[sub]см[/sub]/l = 2/0.01 = 200 Н/м. Энергия деформации, запасённая в сжатой пружине: Э[sub]д[/sub] = k*L[sup]2[/sup]/2 (1). При выстреле эта энергия переходит в кинетическую энергию вылетевшего шарика Э[sub]к[/sub] = m*V[sup]2[/sup]/2 (2). Приравняв (1) и (2), получаем: V = L*[size=3][$8730$][/size](k/m) = 0.1*[size=3][$8730$][/size](200/0.03) = 8.165 м/с.
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