Elektrostatyka.pdf

(521 KB) Pobierz
Microsoft Word - Elektrostatyka.doc
Elektrostatyka
1. Jakie s Ģ przejawy oddziaływania elektrostatycznego w codziennym Ň yciu?
)«¹ºɎ¯©®Ɏ¹¶µ¸µȌɎ6¿³¯«´¯ÜɎ´¯«±ºý¸«ɎÀɎ´¯©®ȌɎ
ɋɎ ¶µª©À§¹ɎČ©¯Ê­§´¯§Ɏ¹½«º¸§ȍɎ½öµ¹¿Ɏ»´µ¹ÀÊɎ¹¯ÜɎªµɎ­ý¸¿Ɏ¶µªɎ½¶ö¿½«³Ɏ°§±¯«°ČɎ¹¯ö¿ȍɎ©À§¹§³¯Ɏ¶¸À«¹±µ©À¿Ɏ¯¹±¸§Ɏ
ɋɎ ­ª¿Ɏ©À«¹À«¹ÀɎ¹¯ÜȍɎ½öµ¹¿Ɏ¹¯ÜɎ«²«±º¸¿À»°ÊȍɎ´¯«Ɏ©®©ÊɎ¹¯ÜɎ»±ö§ª§ÍɎ
ɋɎ ªµɎ«±¸§´»Ɏº«²«½¯Àµ¸§Ɏ¶¸À¿±²«°§Ɏ¹¯ÜɎ±»¸ÀɎ
ɋɎ ¶µº§¸º¿Ɏ¹À³§º±ÊɎªö»­µ¶¯¹ɎȘ²»¨Ɏ¯´´¿Ɏ¶²§¹º¯±µ½¿Ɏ¶¸À«ª³¯µºșɎ¶¸À¿©¯Ê­§Ɏ¹±¸§½±¯Ɏ¶§¶¯«¸»ȍɎ±»¸ÀɎ¯º¶ȌɎ
ɋɎ ¬µ²¯§ɎªµɎ¶§±µ½§´¯§Ɏĩ¿½´µČ©¯Ɏ¶¸À¿±²«°§Ɏ¹¯ÜɎªµɎ±§´§¶±¯Ɏ
ɋɎ ¯Ɏº§±Ɏª§²«°Ɏ
3µɎ½¹À¿¹º±µɎ¹ÊɎ¶¸À«°§½¿ɎªÀ¯§ö§´¯§Ɏ¹¯öɎ«²«±º¸µ¹º§º¿©À´¿©®ȌɎ-§À½§Ɏ½À¯Üö§Ɏ¹¯ÜɎµªɎ­¸«©±¯«­µɎ¹öµ½§Ɏ«²«±º¸µ´ȍɎ±ºý¸«Ɏ¶µɎ
¶µ²¹±»ɎµÀ´§©À§Ɏ¨»¸¹Àº¿´ȍɎ°§±µɎĩ«Ɏ¹º§¸µĩ¿º´¯Ɏ&¸«©¿Ɏ¶µɎ¸§ÀɎ¶¯«¸½¹À¿ɎÀ§»½§ĩ¿²¯Ɏº«Ɏ¹¯ö¿Ɏ»Ɏ¶µ©¯«¸§´«­µɎ±§½§ö±§Ɏ¨»¸¹Àɉ
º¿´»ȌɎ
2. Co to jest ładunek elektryczny?
9§Ɏ¸ýĩ´«Ɏ¹¯ö¿Ɏµª¶µ½¯«ªÀ¯§²´«Ɏ¹ÊɎ¸ýĩ´«Ɏª§°Ê©«Ɏ¹¯ÜɎ³¯«¸À¿ÍɎ©«©®¿Ɏ³§º«¸¯¯ȌɎ-§Ɏ¶¸À¿±ö§ªɎ¹¯ö¿Ɏ¶¸À¿©¯Ê­§´¯§Ɏ­¸§½¯º§©¿°ɉ
´«­µɎ ¹ÊɎÀ§²«ĩ´«Ɏ µªɎ ³§¹¿Ɏ ©¯§öȌɎ "À¿Ɏ¯¹º´¯«°«Ɏ º§±§Ɏ ©«©®§ȍɎ ±ºý¸§Ɏ ª«©¿ª»°«Ɏ µɎÀªµ²´µČ©¯Ɏ ©¯§öɎ ªµɎ»ªÀ¯§ö»Ɏ ½Ɏ µªªÀ¯§ö¿½§ɉ
´¯§©®Ɏ«²«±º¸µ¹º§º¿©À´¿©®ȒɎ3§±ȍɎ¯¹º´¯«°«ȌɎ3ÊɎ©«©®ÊɎ°«¹ºɎö§ª»´«±Ɏ«²«±º¸¿©À´¿ȌɎ2¯ö§³¯Ɏ«²«±º¸µ¹º§º¿©À´¿³¯Ɏ³µ­ÊɎªÀ¯§ö§ÍɎ
´§Ɏ¹¯«¨¯«Ɏº¿²±µɎº§±¯«Ɏ©¯§ö§ȍɎ±ºý¸«Ɏ³§°ÊɎö§ª»´«±Ɏ«²«±º¸¿©À´¿ȌɎɎ
+»ªÀ¯«Ɏ¶µɎ¶«½´¿³Ɏ©À§¹¯«ɎÀ¸µÀ»³¯«²¯ȍɎĩ«Ɏ¹ÊɎª½§Ɏ¸µªÀ§°«Ɏö§ª»´±ý½Ɏ«²«±º¸¿©À´¿©®ȎɎªµª§º´¯«Ɏ¯Ɏ»°«³´«ȌɎ4³ý½¯³¿Ɏ
¹¯ÜɎȘº§±Ɏ°§±ɎºµɎÀ¸µ¨¯²¯Ɏ»©À«´¯Ɏ°»ĩɎ½©À«Č´¯«°șȍɎĩ«Ɏ¶µº§¸º§Ɏ¬»º¸«³Ɏ²§¹±§Ɏ¹À±²§´§Ɏ³§Ɏªµª§º´¯Ɏö§ª»´«±ȍɎ§Ɏ¶µº§¸º§Ɏ¶§¶¯«¸«³Ɏ
²§¹±§Ɏ«¨µ´¯ºµ½§ɎɋɎ»°«³´¿ȌɎ.±§À»°«Ɏ¹¯ÜȍɎĩ«Ɏª½§Ɏö§ª»´±¯Ɏªµª§º´¯«Ɏ²»¨Ɏª½§Ɏö§ª»´±¯Ɏ»°«³´«Ɏµª¶¿©®§°ÊɎ¹¯ÜɎº¿³Ɏ¹¯²´¯«°Ɏ
¯³Ɏ¹ÊɎ¨²¯ĩ«°Ɏ¹¯«¨¯«ȍɎ´§ºµ³¯§¹ºɎö§ª»´±¯Ɏ¸ýĩ´¿©®ɎÀ´§±ý½Ɏ¶¸À¿©¯Ê­§°ÊɎ¹¯ÜȌɎɎ
1.
2.
4©À«´¯Ɏ´§»©À¿²¯Ɏ¹¯ÜɎ³¯«¸À¿ÍɎö§ª»´«±Ɏ«²«±º¸¿©À´¿ȌɎ)«ª´¿³ɎÀɎ¶¸À¿¸Àʪý½Ɏ¹ö»ĩÊ©¿©®ɎªµɎ¶µ³¯§¸»Ɏö§ª»´±»Ɏ°«¹ºɎ«²«±ɉ
º¸µ¹±µ¶ȌɎ
A
B
3.
171259995.010.png
#µ¹º§¸©À§³¿Ɏö§ª»´«±Ɏ´§Ɏ±»²±ÜɎ«²«±º¸µ¹±µ¶»ȌɎ1µÀ¶ö¿½§Ɏ¹¯ÜɎµ´Ɏ´§Ɏ©ÀÜČÍɎ Ɏµ¸§ÀɎ²¯¹º±¯ɎȘ©¯«´¯»º±ÊɎ¨²§¹À±ÜșɎ!Ɏ«²«±º¸µɉ
¹±µ¶»ȌɎ/µ´¯«½§ĩɎ°«¹ºɎºµɎö§ª»´«±Ɏ°«ª´«­µɎÀ´§±»ȍɎ Ɏ¯Ɏ!Ɏ¨ÜªÊɎ¹¯ÜɎµª¶¿©®§ÍɎ¯Ɏ²¯¹º«±Ɏ«²«±º¸µ¹±µ¶»Ɏ½¿©®¿²¯Ɏ¹¯ÜɎº¿³Ɏ¨§¸ɉ
ªÀ¯«°Ɏ¯³Ɏ½¯Ü±¹À¿Ɏö§ª»´«±Ɏªµ¹º§¸©À¿²¯Č³¿ȌɎ
)«ª´µ¹º±ÊɎö§ª»´±»Ɏ°«¹ºɎ°«ª«´Ɏ±»²µ³¨ɎȘ"șȌɎ2§³Ɏö§ª»´«±ɎµÀ´§©À§³¿ɎÀ½¿±²«Ɏ·Ɏ²»¨Ɏ0ȌɎ
[ ] C1=
Ɏ
3. Jakie cz Ģ stki składaj Ģ si ħ na materi ħ ?
6¯«¹ÀȍɎĩ«Ɏµº§©À§°Ê©«Ɏ´§¹Ɏ©¯§ö§Ɏ¯Ɏ³¿Ɏ¹§³¯Ɏ°«¹º«Č³¿ɎÀ¨»ªµ½§´¯ɎÀɎ§ºµ³ý½ȌɎ ºµ³Ɏ³µĩ´§Ɏ¶µªÀ¯«²¯ÍɎ´§Ɏ°«¹À©À«Ɏ³´¯«°¹À«Ɏ
©ÀÜČ©¯ȎɎÀ§°³»°Ê©«Ɏ©«´º¸§²´«Ɏ³¯«°¹©«Ɏ°Êª¸µɎ§ºµ³µ½«Ɏ¯Ɏ±¸ÊĩÊ©«Ɏ½µ±ýöɎ´¯«­µɎ«²«±º¸µ´¿ȌɎ)ʪ¸µɎ§ºµ³µ½«Ɏ°«¹ºɎÀöµĩµ´«ɎÀɎ
¶¸µºµ´ý½Ɏ¯Ɏ´«»º¸µ´ý½ȌɎ$²«±º¸µ´¿Ɏ³§°ÊɎö§ª»´«±Ɏ»°«³´¿ȌɎ)«¹ºɎºµɎ´§°³´¯«°¹À¿Ɏªµº¿©®©À§¹Ɏµ¨¹«¸½µ½§´¿Ɏö§ª»´«±Ɏ½Ɏ
¶¸À¿¸µªÀ¯«ȌɎ/¸µºµ´¿Ɏ¹ÊɎªµª§º´¯µɎ´§ö§ªµ½§´«ȍɎ§Ɏ¯©®Ɏö§ª»´«±Ɏ°«¹ºɎ©µɎªµɎ½§¸ºµČ©¯Ɏ¸ý½´¿Ɏö§ª»´±µ½¯Ɏ«²«±º¸µ´»ȌɎ-«»ɉ
º¸µ´¿Ɏ´¯«Ɏ³§°ÊɎö§ª»´±»ɎɋɎ¹ÊɎ«²«±º¸¿©À´¯«Ɏµ¨µ°Üº´«ȌɎ6«Ɏ½¹À¿¹º±¯©®Ɏ©¯§ö§©®Ɏ³§³¿ɎÀ§¸ý½´µɎö§ª»´±¯Ɏªµª§º´¯«Ɏ°§±Ɏ¯Ɏ
»°«³´«ȌɎ"¯§ö§Ɏ¹ÊɎÀ§À½¿©À§°Ɏ«²«±º¸¿©À´¯«Ɏµ¨µ°Üº´«ȍɎ¨µɎö§ª»´«±Ɏªµª§º´¯Ɏ°«¹ºɎ½Ɏ´¯©®Ɏ¸ý½´¿Ɏö§ª»´±µ½¯Ɏ»°«³´«³»ȌɎ
4. Co to s Ģ przewodniki a co izolatory (dielektryki)?
2»¨¹º§´©°«Ɏ ¸ýĩ´¯ÊɎ¹¯ÜɎ ³¯ÜªÀ¿Ɏ¹µ¨ÊȌɎ ,µĩ´§Ɏ °«ɎªÀ¯«²¯ÍɎ´§Ɏ ¸µÀ³§¯º«Ɏ±²§¹¿ȌɎ )«ª´ÊɎÀɎ ³µĩ²¯½µČ©¯Ɏ °«¹ºɎ ¶µªÀ¯§öɎ´§Ɏ Ɏ¶¸À«ɉ
½µª´¯±¯Ɏ ¯Ɏ ¯Àµ²§ºµ¸¿Ɏ Șª¯«²«±º¸¿±¯șȌɎ 6Ɏ ¶¸À«½µª´¯±§©®Ɏ ©ÀÜČÍɎ ö§ª»´±ý½Ɏ Ș°§±¯«ȍɎ ºµɎ À§²«ĩ¿Ɏ µªɎ ¸µªÀ§°»Ɏ ¶¸À«½µª´¯±§șɎ
³§°ÊɎ¹½µ¨µªÜɎ¸»©®»ȌɎ)«Č²¯Ɏ¶¸À«±§ĩ«³¿Ɏ¶¸À«½µª´¯±µ½¯Ɏö§ª»´«±ȍɎºµɎ´¯«Ɏ¶µÀµ¹º§´¯«Ɏµ´Ɏ½Ɏ³¯«°¹©»Ɏ¶¸À«±§À§´¯§Ɏ²«©ÀɎ
¸µÀ¶ö¿´¯«Ɏ¹¯ÜɎ¶µɎ ´¯³Ɏ Șªµ±ö§ª´¯«°ȎɎ ¶µɎ ©§ö«°Ɏ °«­µɎ ¶µ½¯«¸À©®´¯șȌɎ)«Č²¯Ɏ´§ö§ª»°«³¿Ɏª¯«²«±º¸¿±ȍɎ ºµɎ ¶¸À«±§À§´¿Ɏö§ª»´«±Ɏ
¶µÀµ¹º§´¯«Ɏ½Ɏº¿³Ɏ³¯«°¹©»ȍɎªµɎ±ºý¸«­µɎÀµ¹º§öɎªµ¹º§¸©Àµ´¿ȌɎɎ
5. Jakie znasz sposoby elektryzowania ciał?
6Ɏ­¯³´§À°»³Ɏ³ý½¯Ɏ¹¯ÜɎµɎº¸À«©®Ɏ¹¶µ¹µ¨§©®ȌɎ
șɎ/¸À«ÀɎº§¸©¯«ȌɎ
/µ©¯«¸§°Ê©Ɏ °«ª´¿³Ɏ ©¯§ö«³Ɏ µɎ ª¸»­¯«Ɏ ³µĩ«³¿Ɏ Ș°«Č²¯Ɏ ªµ¨¸À«Ɏ ªµ¨¯«¸À«³¿Ɏ ©¯§ö§șɎ °«Ɏ ´§«²«±º¸¿Àµ½§ÍȌɎ /¸À¿±ö§ª«³Ɏ °«¹ºɎ
¶µ©¯«¸§´¯«Ɏ¶§¶¯«¸«³Ɏ¶²§¹º¯±µ½«­µɎªö»­µ¶¯¹»ȌɎo§ª»°«Ɏ¹¯ÜɎµ´Ɏ½º«ª¿Ɏ»°«³´¯«ȍɎ§Ɏ¶§¶¯«¸Ɏªµª§º´¯µȌɎ9§½¹À«Ɏ°«Č²¯Ɏ°§±¯«ČɎ
©¯§öµɎö§ª»°«Ɏ¹¯ÜɎ¶¸À«ÀɎº§¸©¯«ȍɎºµɎ©À¿³Ɏº¸À«³¿Ɏö§ª»°«Ɏ¹¯ÜɎö§ª»´±¯«³ɎµɎ¶¸À«©¯½´¿³ɎÀ´§±»ȌɎɎ
!șɎ/¸À«ÀɎªµº¿±ȌɎ
)«Č²¯Ɏ³§³¿Ɏ©¯§öµɎ´§«²«±º¸¿Àµ½§´«ȍɎ³µĩ«³¿Ɏªµº±´ÊÍɎ´¯³Ɏ¯´´«­µȍɎ´¯«´§«²«±º¸¿Àµ½§´«­µɎ©¯§ö§ȍɎ§ɎºµɎÀµ¹º§´¯«Ɏ´§ö§ɉ
ªµ½§´«ȌɎo§ª»´«±Ɏ¶¸À«¶ö¿´¯«ɎÀɎ°«ª´«­µɎ´§Ɏª¸»­¯«ȌɎ
"șɎ /¸À«ÀɎ ¯´ª»±©°ÜȌɎ 3§±Ɏ ³µĩ´§Ɏ «²«±º¸¿Àµ½§ÍɎ ¶¸À«ª³¯µº¿Ɏ ³«º§²µ½«Ɏ Șµ­ý²´¯«°ȎɎ ½¿±µ´§´«Ɏ ÀɎ ¶¸À«½µª´¯±ý½șȌɎ -§Ɏ
©À¿³Ɏ¶µ²«­§Ɏº«´Ɏ¹¶µ¹ý¨ȒɎ9µ¨§©ÀɎºµɎ´§Ɏ¸¿¹»´±§©®ȌɎ
§șɎ2º¿±§³¿ɎÀ«Ɏ¹µ¨ÊɎª½§Ɏ©¯§ö§Ɏ½¿±µ´§´«ɎÀɎ¶¸À«½µª´¯±§ȌɎ"¯§ö§Ɏ¹ÊɎ´§Ɏ¯Àµ²»°Ê©¿©®Ɏ¶µª¹º§½±§©®ȌɎ
¨șɎ9¨²¯ĩ§³¿ɎªµɎ´¯©®Ɏ©¯§öµɎ´§«²«±º¸¿Àµ½§´«ȍɎ±ºý¸«Ɏ¶µ½µª»°«Ɏ¶¸À¿©¯Ê­´¯Ü©¯«Ɏö§ª»´±ý½Ɏ¶¸À«©¯½´«­µɎÀ´§±»ȍɎ§Ɏµª«ɉ
¶©®´¯Ü©¯«Ɏö§ª»´±ý½Ɏº«­µɎ¹§³«­µɎÀ´§±»ȌɎ
_ _ _
_ _ _
+
+ + +
©șɎ1µÀªÀ¯«²§³¿Ɏ©¯§ö§ȌɎ"¯§öµɎ´§«²«±º¸¿Àµ½§´«Ɏ°«¹ºɎ©§ö¿Ɏ©À§¹Ɏ½Ɏ¶µ¨²¯ĩ»ȌɎ
q
+ +
_
171259995.011.png 171259995.012.png 171259995.013.png
_
_
+ +
_
_
+
+
_
+
_
_
+ +
ªșɎ6¿©µ¬»°«³¿Ɏ´§«²«±º¸¿Àµ½§´«Ɏ©¯§öµȌɎ
_
+
_
_
+
+
_
+
_
_
+
+
_
+
.º¸À¿³»°«³¿Ɏª½§Ɏ´§«²«±º¸¿Àµ½§´«Ɏ¶¸À«©¯½´¯«Ɏ©¯§ö§ȌɎ
6. Sformułuj zasad ħ zachowania ładunku elektrycznego.
)«Č²¯Ɏ©¯§ö§Ɏ¨¿ö¿Ɏ¶¯«¸½µº´¯«Ɏµ¨µ°Üº´«ȍɎ©À¿²¯Ɏ¯©®Ɏö§ª»´«±Ɏ¨¿öɎ¸ý½´¿ɎÀ«¸»ȍɎºµɎ¶µɎ´§«²«±º¸¿Àµ½§´¯»Ɏ¶¸À«ÀɎ¯´ª»±©°ÜȍɎ©À¿Ɏ
¶¸À«ÀɎº§¸©¯«ȍɎ¹»³§Ɏö§ª»´±ý½Ɏ´§Ɏµ¨»Ɏ©¯§ö§©®Ɏ´§ª§²Ɏ¨ÜªÀ¯«Ɏ¸ý½´§ɎÀ«¸»ȌɎ)«¹ºɎºµɎ¹À©À«­ý²´¿Ɏ¶¸À¿¶§ª«±Ɏ¨§¸ªÀµɎ½§ĩɉ
´«­µɎ ¶¸§½§Ɏ ¬¯À¿©À´«­µȎɎ À§¹§ª¿Ɏ À§©®µ½§´¯§Ɏ ö§ª»´±»ȌɎ 6¿µ¨¸§ħɎ ¹µ¨¯«Ɏ »±ö§ªɎ ©¯§öȌɎ "¯§ö§Ɏ º«Ɏ µª¯Àµ²µ½§´«Ɏ ¹ÊɎ µªɎ µºµɉ
©À«´¯§ȌɎ9ɎÀ«½´Êº¸ÀɎ´¯«Ɏªµ¶ö¿½§ȍɎ§²«Ɏº«ĩɎ´¯«Ɏµª¶ö¿½§ɎªµɎµºµ©À«´¯§Ɏĩ§ª«´Ɏö§ª»´«±ȌɎ3§±¯Ɏ»±ö§ªɎ©¯§öɎ´§À½¯«³¿ɎÀ§ɉ
³±´¯Üº¿³ȌɎ9§¹§ª§ɎÀ§©®µ½§´¯§Ɏö§ª»´±»Ɏ³ý½¯ȍɎĩ«ȎɎ
6Ɏ»±ö§ªÀ¯«ɎÀ§³±´¯Üº¿³Ɏ©§ö±µ½¯º¿Ɏö§ª»´«±Ɏ°«¹ºɎ¹º§ö¿ȌɎ
6ɎªµČ½¯§ª©À«´¯»ɎÀɎ«²«±º¸¿Àµ½§´¯«³Ɏ¶¸À«ÀɎ¯´ª»±©°ÜɎ´¯«Ɏº½µ¸À¿Ɏ¹¯ÜɎĩ§ª«´Ɏö§ª»´«±ȌɎ.´Ɏº¿²±µɎ¶¸À«¶ö¿½§ȌɎ/µ©Àʺɉ
±µ½µɎ ªµª§º´¯«Ɏ ¯Ɏ »°«³´«Ɏ ö§ª»´±¯Ɏ ¹ÊɎ ½Ɏ ±»²¯Ɏ ½¿³¯«¹À§´«Ɏ º§±ȍɎ ĩ«Ɏ ©§ö§Ɏ ±»²§Ɏ °«¹ºɎ µ¨µ°Üº´§Ɏ «²«±º¸¿©À´¯«ȌɎ /ýħ´¯«°Ɏ ¶µªɎ
´§«²«±º¸¿Àµ½§´«°Ɏ ¶§ö«©À±¯Ɏ ö§ª»´±¯Ɏ ¸µÀªÀ¯«²§°ÊɎ ¹¯ÜȌɎ ¢§ª«´Ɏ ö§ª»´«±Ɏ ´¯«Ɏ ¶µ½¹º§öȌɎ /µªµ¨´¯«Ɏ °«¹ºɎ ÀɎ «²«±º¸¿Àµ½§´¯«³Ɏ
¶¸À«ÀɎº§¸©¯«ȌɎ6Ɏ¹À±²«Ɏ´¯«Ɏ½¿º½§¸À§Ɏ¹¯ÜɎªµª§º´¯Ɏö§ª»´«±ȌɎ.´Ɏº¿²±µɎ¶¸À«¶ö¿½§ɎÀɎ¬»º¸§ȍɎ±ºý¸«Ɏ¹§³µɎö§ª»°«Ɏ¹¯ÜɎ»°«³´¯«ȌɎ
7. Jakie prawo mówi o sile wzajemnego oddziaływania ładunków?
.Ɏ¹¯²«ɎªÀ¯§ö§°Ê©«°Ɏ³¯ÜªÀ¿Ɏö§ª»´±§³¯Ɏ³ý½¯Ɏ¶¸§½µɎ"µ»²µ³¨§ȌɎɎ
o§ª»´±¯Ɏ· Ŵ ȍɎ· ŵ ɎªÀ¯§ö§°ÊɎ´§Ɏ¹¯«¨¯«Ɏ¹¯ö§³¯ɎµɎ½§¸ºµČ©¯Ɏ¶¸µ¶µ¸©°µ´§²´«°ɎªµɎ¯²µ©À¿´»Ɏö§ª»´±ý½ȍɎ§Ɏµª½¸µº´¯«Ɏ¶¸µ¶µ¸ɉ
©°µ´§²´«°ɎªµɎ±½§ª¸§º»Ɏµª²«­öµČ©¯Ɏ³¯ÜªÀ¿Ɏ´¯³¯ȌɎ
,µĩ´§ɎºµɎÀ§¶¯¹§ÍɎ½Ɏ¶µ¹º§©¯Ɏ½Àµ¸»ȎɎ
F =
k
q
1
r
q
2
Ɏ
2
¸ɎɋɎµª²«­öµČÍɎ³¯ÜªÀ¿Ɏö§ª»´±§³¯Ɏ
Nm
2
±Ɏ °«¹ºɎ ¹º§öÊȍɎ §Ɏ °«°Ɏ ½§¸ºµČÍɎ ª²§Ɏ ¶¸ýĩ´¯Ɏ ¯Ɏ ¶µ½¯«º¸À§Ɏ ½¿´µ¹¯Ɏ
k
=
9 ×
10
9
ȌɎ 2¯ö¿Ɏ «²«±º¸µ¹º§º¿©À´«Ɏ À§²«ĩÊɎ µªɎ µČ¸µª±§ȌɎ
2
C
)«Č²¯Ɏª½§Ɏö§ª»´±¯Ɏ¶¸À«´¯«¹¯«³¿ɎȘ´¯©Ɏ¶µÀ§Ɏº¿³Ɏ´¯«ɎÀ³¯«´¯§°Ê©șɎªµɎ´¶ȌɎ½µª¿ȍɎ¹¯ö§ɎªÀ¯§ö§°Ê©§Ɏ³¯ÜªÀ¿Ɏ´¯³¯ɎÀ³´¯«°¹À¿Ɏ
¹¯ÜȌɎ2º§öÊɎºÜɎ³µĩ´§ɎÀ¯´º«¸¶¸«ºµ½§ÍɎº§±ȎɎ°«¹ºɎºµɎ¹¯ö§ɎÀɎ°§±ÊɎ¨ÜªÊɎªÀ¯§ö§ÍɎ´§Ɏ¹¯«¨¯«Ɏª½§Ɏö§ª»´±¯ɎµɎ½§¸ºµČ©¯ɎŴɎ"Ɏ±§ĩª¿ɎÀɎ
µª²«­öµČ©¯ɎŴɎ³ȌɎºµɎ¶¸§½¯«ɎŴųɎ³¯²¯§¸ªý½Ɏ´¯»ºµ´ý½ȌɎ#»ĩµȔɎ
Zadanie.
#½¯«Ɏ°«ª´§±µ½«Ɏ±»²±¯ɎÀɎ¬µ²¯¯Ɏ§²»³¯´¯µ½«°Ɏ½¯¹ÀÊɎ´§Ɏ´¯º±§©®ɎªµČÍɎ¨²¯¹±µɎ¹¯«¨¯«ȌɎ-¯º±¯Ɏ¹ÊɎ½¿±µ´§´«ɎÀɎ¯Àµ²§ºµ¸§ȌɎ)«ª´ÊɎ
ÀɎ´¯©®Ɏ´§ö§ªµ½§´µɎö§ª»´±¯«³Ɏªµª§º´¯³ȌɎ#¸»­§Ɏ¶µÀµ¹º§ö§Ɏµ¨µ°Üº´§ȌɎ*»²±¯Ɏº«ȎɎ
șɎ¨ÜªÊɎµª¶¿©®§ÍɎ¹¯ÜɎɎ
171259995.001.png 171259995.002.png 171259995.003.png 171259995.004.png
!șɎ¶µÀµ¹º§´ÊɎ½Ɏ¨«À¸»©®»ȍɎ´¯«Ɏ¨ÜªÊɎªÀ¯§ö§ÍɎ´§Ɏ¹¯«¨¯«Ɏ¹¯ö§³¯Ɏ
"șɎ¨ÜªÊɎ¹¯ÜɎ¶¸À¿©¯Ê­§ÍɎ
#șɎ¨ÜªÊɎ¹¯ÜɎ½§®§ÍɎɎ
Ɏ
1µÀ½¯ÊÀ§´¯«Ɏ
6¿ª§½§ÍɎ¨¿Ɏ¹¯ÜɎ³µ­öµȍɎĩ«Ɏ¹±µ¸µɎö§ª»´«±Ɏ°«ª´«°ɎÀɎ±»²«±Ɏ°«¹ºɎ¸ý½´¿ɎÀ«¸»ȍɎ±»²±¯Ɏ´¯«Ɏ¨ÜªÊɎªÀ¯§ö§ÍɎ´§Ɏ¹¯«¨¯«Ɏ¹¯ö§³¯ȌɎ
3¸À«¨§Ɏ °«ª´§±Ɏ ¶§³¯Üº§ÍȍɎ ĩ«Ɏ ½Ɏ ³«º§²»Ɏ Ș¬µ²¯§Ɏ §²»³¯´¯µ½§Ɏ ºµɎ ³«º§²șɎ¹ÊɎ ½¿³¯«¹À§´«Ɏ ö§ª»´±¯Ɏ ªµª§º´¯«Ɏ¯Ɏ »°«³´«ȌɎ -§Ɏ
ªµª§º«±Ɏ³§°ÊɎµ´«ɎȘ¶¸À¿´§°³´¯«°Ɏ»°«³´«șɎ¹½µ¨µªÜɎ¸»©®»ȌɎ#µª§º´¯Ɏö§ª»´«±Ɏª¸»­¯«°Ɏ±»²¯Ɏ¶¸À¿©¯Ê­´¯«Ɏö§ª»´±¯Ɏ»°«³ɉ
´«ȍɎ¶µɎª¸»­¯«°ɎÀ§ČɎ¹º¸µ´¯«ɎÀµ¹º§´ÊɎö§ª»´±¯Ɏªµª§º´¯«ȌɎ-§ö§ªµ½§´§Ɏ±»²§Ɏ¨ÜªÀ¯«Ɏ¶¸À¿©¯Ê­§ÍɎö§ª»´±¯Ɏ»°«³´«Ɏª¸»­¯«°Ɏ
±»²¯ȍɎ§Ɏµª¶¿©®§ÍɎö§ª»´±¯Ɏªµª§º´¯«ȌɎ1À«©ÀɎ½Ɏº¿³ȍɎĩ«Ɏªµª§º´¯«Ɏ¹ÊɎª§²«°Ɏ´¯ĩɎ»°«³´«ȍɎÀ§º«³Ɏµª¶¿©®§´¯«Ɏ¨ÜªÀ¯«Ɏ¹ö§¨¹À«Ɏ
´¯ĩɎ¶¸À¿©¯Ê­§´¯«ȌɎ*»²±¯Ɏ¨ÜªÊɎ½¯Ü©Ɏ¹¯ÜɎ¶¸À¿©¯Ê­§ÍȌɎ/¸§½¯ªöµ½§Ɏ°«¹ºɎµª¶µ½¯«ªħɎ"șȌɎ
_
_
_ _
ȷ Ɏ2ö§½µ³¯¸Ɏ)«³¯«²¯º¿
171259995.005.png 171259995.006.png 171259995.007.png 171259995.008.png 171259995.009.png
Zgłoś jeśli naruszono regulamin