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Консультация № 181542
22.12.2010, 10:19
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
Два маленьких проводящих шарика одного радиуса с разноименными зарядами притягиваются с силой 0,004 Н, когда расстояние между ними равно 30 см. после того, как шарики на короткое время привели в соприкосновение и вновь поместили на прежнее расстояние, сила электрического взаимодействия стала равна 0,00225 Н. Определить заряды шариков до их взаимодействия.
Два маленьких проводящих шарика одного радиуса с разноименными зарядами притягиваются с силой 0,004 Н, когда расстояние между ними равно 30 см. после того, как шарики на короткое время привели в соприкосновение и вновь поместили на прежнее расстояние, сила электрического взаимодействия стала равна 0,00225 Н. Определить заряды шариков до их взаимодействия.
Обсуждение
22.12.2010, 13:13
общий
Дано:
F1=0,004Н
l=0.3м
F2=0.00225Н
k=8.98*109Н*м2/Кл2
-------------------
q1,q2-?
Решение:
По закону сохранения заряда после соприкосновения шариков заряд у каждого из них стал одинаковый и q12=(q1+q2)/2
по закону Кулона
первый случай
F1=k*q1*q2/l2 (1)
после соприкосновения и помещения на прежнее растояние
F2=k*q122/l2=k*(q1+q2)2/4l2 (2)
Выразим из (1) q1 и подставим в (2)
F2=k*(q2+F1*l2/(k*q2))2/4l2
откуда получаем квадратное уравнение
k*q2[$177$][$8730$](F2*l2/k)q+F1*l2=0
q2=+4*10-7Кл
q2=-1*10-7Кл
из (1) выразив q1=F1*l2 /(kq2)
получаем q1=-1*10-7 Кл
q1=4*10-7 Кл
решив квадратное уравнение получим значение зарядов.
F1=0,004Н
l=0.3м
F2=0.00225Н
k=8.98*109Н*м2/Кл2
-------------------
q1,q2-?
Решение:
По закону сохранения заряда после соприкосновения шариков заряд у каждого из них стал одинаковый и q12=(q1+q2)/2
по закону Кулона
первый случай
F1=k*q1*q2/l2 (1)
после соприкосновения и помещения на прежнее растояние
F2=k*q122/l2=k*(q1+q2)2/4l2 (2)
Выразим из (1) q1 и подставим в (2)
F2=k*(q2+F1*l2/(k*q2))2/4l2
откуда получаем квадратное уравнение
k*q2[$177$][$8730$](F2*l2/k)q+F1*l2=0
q2=+4*10-7Кл
q2=-1*10-7Кл
из (1) выразив q1=F1*l2 /(kq2)
получаем q1=-1*10-7 Кл
q1=4*10-7 Кл
решив квадратное уравнение получим значение зарядов.
Об авторе:
to live is to die
to live is to die
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