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Консультация № 136809
14.05.2008, 15:46
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Здравствуйте. Помогите пожалуйста с решением задач:
1) Пружина жесткостью k=1кН/м была сжата на x1=4 см. Какую нужно совершить работу A, чтобы сжатие пружины увеличить до x2=18 см?
2) Определить число N молекул ртути, содержащихся в воздухе объемом V=1 м^3 в помещении, зараженном ртутью, при температуре 20 С, если давление P насыщенного пара ртути равно 0,13 Па
1) Пружина жесткостью k=1кН/м была сжата на x1=4 см. Какую нужно совершить работу A, чтобы сжатие пружины увеличить до x2=18 см?
2) Определить число N молекул ртути, содержащихся в воздухе объемом V=1 м^3 в помещении, зараженном ртутью, при температуре 20 С, если давление P насыщенного пара ртути равно 0,13 Па
Обсуждение
14.05.2008, 19:53
общий
это ответ
<font color=red><b>!!!</b></font>
Здравствуйте, Михаил Витальевич!
Потенциальная энергия пружины W=k*x<sup>2</sup>/2
Работа по сжатию - это разность потенциальной энергии в конечном и начальном состоянии A=W2-W1=k*(x<sub>2</sub><sup>2</sup>-x<sub>1</sub><sup>2</sup>)/2 <FONT COLOR=BLUE><b> = 1000*(0.18<sup>2</sup> - 0.04<sup>2</sup>)/2 = (308/10)/2 =<s>154 кДж</s> 15.4 Дж</b></FONT> <FONT COLOR=RED>Ошибка в 10000 раз! Жёсткость пружины в условии задана в кН/м, а смещения - в см. Перед подстановкой смещений в формулу следовало перевести их в метры, т.е. разделить на 100. После возведения в квадрат эти "100" "превратились" в 10000. Правильный ответ:15.4 Дж.</FONT>
p*V*N<sub>A</sub>=R*N*T
N=p*V*N<sub>A</sub>/(R*T)=0.13<i>Па</i>*1<i>м<sup>3</sup></i>*6.02*10<sup>23</sup><i>моль<sup>-1</sup></i>/(8.314<i>Дж/(моль*К)</i>*293<i>К</i>)=3,21*10<sup>19</sup>
<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:red 1px solid; padding:10px;‘ class=fieldset><font color=red><i>Обращайте внимание на единицы измерения!</i>
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</font><font color=#777777 size=1><b>• Отредактировал: <a href=http://rusfaq.ru/info/user/27822 target=_blank>SFResid</a></b> (Профессионал)
<b>• Дата редактирования:</b> 15.05.2008, 09:45</font></fieldset>
Здравствуйте, Михаил Витальевич!
Потенциальная энергия пружины W=k*x<sup>2</sup>/2
Работа по сжатию - это разность потенциальной энергии в конечном и начальном состоянии A=W2-W1=k*(x<sub>2</sub><sup>2</sup>-x<sub>1</sub><sup>2</sup>)/2 <FONT COLOR=BLUE><b> = 1000*(0.18<sup>2</sup> - 0.04<sup>2</sup>)/2 = (308/10)/2 =<s>154 кДж</s> 15.4 Дж</b></FONT> <FONT COLOR=RED>Ошибка в 10000 раз! Жёсткость пружины в условии задана в кН/м, а смещения - в см. Перед подстановкой смещений в формулу следовало перевести их в метры, т.е. разделить на 100. После возведения в квадрат эти "100" "превратились" в 10000. Правильный ответ:15.4 Дж.</FONT>
p*V*N<sub>A</sub>=R*N*T
N=p*V*N<sub>A</sub>/(R*T)=0.13<i>Па</i>*1<i>м<sup>3</sup></i>*6.02*10<sup>23</sup><i>моль<sup>-1</sup></i>/(8.314<i>Дж/(моль*К)</i>*293<i>К</i>)=3,21*10<sup>19</sup>
<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:red 1px solid; padding:10px;‘ class=fieldset><font color=red><i>Обращайте внимание на единицы измерения!</i>
-----
</font><font color=#777777 size=1><b>• Отредактировал: <a href=http://rusfaq.ru/info/user/27822 target=_blank>SFResid</a></b> (Профессионал)
<b>• Дата редактирования:</b> 15.05.2008, 09:45</font></fieldset>
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