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Консультация № 159613
04.02.2009, 17:11
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Определить работу растяжения двух соединенных последовательно пружин жесткостями К1 = 400 Н/м и К2 = 250 Н/м, если первая пружина при этом растянулась на L = 2 см.
Обсуждение
Неизвестный
04.02.2009, 20:17
общий
это ответ
Здравствуйте, Соболев А.С.!
Определить работу растяжения двух соединенных последовательно пружин жесткостями
К1 = 400 Н/м и
К2 = 250 Н/м,
если первая пружина при этом растянулась на
L1 = 2 см.
Если первая растянулась на L1, то вторая на
L2= L1*(K1/K2)= 2e-2*(400/250)= 3.2e-2 (м)
Расстояние между краями цепочки пружин изменилось на
L1+L2
Сила натяжения пружин в начале была
Fa= 0
в конце
Fb= K1*L1= K2*L2
Сила изменялась равномерно, следовательно для вычисления работы при растяжении можно взять среднюю силу
F= (Fa+Fb)/2= (400*2e-2)/2= 4 (Н)
Работа при растяжении
A= F*(L1+L2)= 4*(2e-2+3.2e-2)= 0,208 (Дж)
Определить работу растяжения двух соединенных последовательно пружин жесткостями
К1 = 400 Н/м и
К2 = 250 Н/м,
если первая пружина при этом растянулась на
L1 = 2 см.
Если первая растянулась на L1, то вторая на
L2= L1*(K1/K2)= 2e-2*(400/250)= 3.2e-2 (м)
Расстояние между краями цепочки пружин изменилось на
L1+L2
Сила натяжения пружин в начале была
Fa= 0
в конце
Fb= K1*L1= K2*L2
Сила изменялась равномерно, следовательно для вычисления работы при растяжении можно взять среднюю силу
F= (Fa+Fb)/2= (400*2e-2)/2= 4 (Н)
Работа при растяжении
A= F*(L1+L2)= 4*(2e-2+3.2e-2)= 0,208 (Дж)
Форма ответа
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