12£®Ä³Ñо¿ÐÔѧϰС×éÀûÓÃÆøµæµ¼¹ìÑéÖ¤»úеÄÜÊغ㶨ÂÉ£¬ÊµÑé×°ÖÃÈçͼ¼×Ëùʾ£®µ±Æøµæµ¼¹ìÕý³£¹¤×÷ʱµ¼¹ìÁ½²àÅç³öµÄÆøÌåʹ»¬¿éÐü¸¡ÔÚµ¼¹ìÉÏ·½£¬»¬¿éÔ˶¯Ê±Óëµ¼¹ì¼äµÄ×èÁ¦¿ÉºöÂÔ²»¼Æ£®ÔÚÆøµæµ¼¹ìÉÏÏà¸ôÒ»¶¨¾àÀëLµÄÁ½´¦°²×°Á½¸ö¹âµç´«¸ÐÆ÷A¡¢B£¬»¬¿éPÉϹ̶¨Ò»ÕÚ¹âÌõ£¬Èô¹âÏß±»ÕÚ¹âÌõÕÚµ²£¬¹âµç´«¸ÐÆ÷»áÊä³ö¸ßµçѹ£¬Á½¹âµç´«¸ÐÆ÷²É¼¯Êý¾ÝºóÓë¼ÆËã»úÏàÁ¬£®»¬¿éÔÚϸÏßµÄÇ£ÒýÏÂÏò×ó¼ÓËÙÔ˶¯£¬ÕÚ¹âÌõ¾­¹ý¹âµç´«¸ÐÆ÷A¡¢Bʱ£¬Í¨¹ý¼ÆËã»ú¿ÉÒԵõ½ÈçͼÒÒËùʾµÄµçѹUËæʱ¼ät±ä»¯µÄͼÏߣ®
£¨1£©ÊµÑéÇ°£¬½ÓͨµçÔ´£¬½«»¬¿é£¨²»¹Ò¹³Â룩ÖÃÓÚÆøµæµ¼¹ìÉÏ£¬ÇáÍÆ»¬¿é£¬µ±Í¼ÒÒÖеġ÷t1=¡÷t2£¨Ñ¡Ìî¡°£¾¡±¡°=¡±»ò¡°£¼¡±£©Ê±£¬ËµÃ÷Æøµæµ¼¹ìÒѾ­Ë®Æ½£®
£¨2£©»¬¿éPÓÃϸÏß¿ç¹ýÆøµæµ¼¹ì×ó¶ËµÄ¶¨»¬ÂÖÓëÖÊÁ¿ÎªmµÄ¹³ÂëQÏàÁ¬£¬½«»¬¿éPÓÉͼ¼×ËùʾλÖÃÊÍ·Å£¬Í¨¹ý¼ÆËã»úµÃµ½µÄͼÏóÈçͼÒÒËùʾ£¬Èô¡÷t1¡¢¡÷t2¡¢ÕÚ¹âÌõ¿í¶Èd¡¢»¬¿éÖÊÁ¿M¡¢¹³ÂëÖÊÁ¿m¡¢A¡¢B¼ä¾àLÒÑÖª£¬ÈôÉÏÊöÎïÀíÁ¿¼äÂú×ã¹ØϵʽmgL=$\frac{1}{2}$£¨M+m£©£¨$\frac{d}{¡÷{t}_{2}}$£©2-$\frac{1}{2}$£¨M+m£©£¨$\frac{d}{¡÷{t}_{1}}$£©2£¬Ôò±íÃ÷ÔÚÉÏÊö¹ý³ÌÖУ¬»¬¿éºÍ¹³Âë×é³ÉµÄϵͳ»úеÄÜÊغ㣮
£¨3£©ÈôÕÚ¹âÌõ¿í¶Èd=8.400mm£¬A¡¢B¼äµÄ¾àÀëL=160.00cm£¬¡÷t1=8.40¡Á10-3s£¬¡÷t2=4.20¡Á10-3s£¬»¬¿éÖÊÁ¿M=180g£¬¹³ÂëQÖÊÁ¿m=20g£¬Ôò»¬¿é´ÓAÔ˶¯µ½BµÄ¹ý³ÌÖÐϵͳÊÆÄܵļõÉÙÁ¿¡÷Ep0.314J£¬ÏµÍ³¶¯ÄܵÄÔöÁ¿¡÷Ek=0.300J£®£¨g=9.80m/s2£¬¼ÆËã½á¹û±£ÁôÈýλÓÐЧÊý×Ö£©

·ÖÎö £¨1£©ÕÚ¹âÌõ¾­¹ý¹âµç´«¸ÐÆ÷A¡¢Bʱ¼äÏàͬ£¬ËµÃ÷»¬¿éÔÈËÙÔ˶¯£¬Æøµæµ¼¹ìÒѾ­Ë®Æ½£®
£¨2£©ÒªÑéÖ¤»¬¿éºÍíÀÂë×é³ÉµÄϵͳ»úеÄÜÊÇ·ñÊغ㣬¾ÍÓ¦¸ÃÈ¥Çó³ö¶¯ÄܵÄÔö¼ÓÁ¿ºÍÖØÁ¦ÊÆÄܵļõСÁ¿£¬½áºÏÔ­ÀíÈ·¶¨ÐèÒª²âÁ¿µÄÎïÀíÁ¿£®¸ù¾Ý»¬¿éºÍíÀÂë×é³ÉµÄϵͳ»úеÄÜÊغãÁгö¹Øϵʽ£®
£¨3£©Óɸ߶ÈÇó³öϵͳÊÆÄܵļõÉÙÁ¿¡÷Ep£®Óɹ«Ê½v=$\frac{d}{¡÷t}$Çó³ö»¬¿éͨ¹ýÁ½¸ö¹âµçÃŵÄËٶȣ¬ÔÙÇó¶¯ÄܵÄÔöÁ¿£®

½â´ð ½â£º£¨1£©Èç¹ûÕÚ¹âÌõͨ¹ý¹âµçÃŵÄʱ¼äÏàµÈ£¬¼´¡÷t1=¡÷t2£¬ËµÃ÷ÕÚ¹âÌõ×öÔÈËÙÔ˶¯£¬¼´ËµÃ÷Æøµæµ¼¹ìÒѾ­Ë®Æ½£®
£¨2£©ÒªÑéÖ¤»¬¿éºÍíÀÂë×é³ÉµÄϵͳ»úеÄÜÊÇ·ñÊغ㣬¾ÍÓ¦¸ÃÈ¥Çó³ö¶¯ÄܵÄÔö¼ÓÁ¿ºÍÖØÁ¦ÊÆÄܵļõСÁ¿£¬¹âµçÃŲâÁ¿Ë²Ê±ËÙ¶ÈÊÇʵÑéÖг£Óõķ½·¨£®ÓÉÓÚ¹âµçÃŵĿí¶ÈºÜС£¬ËùÒÔÎÒÃÇÓúܶÌʱ¼äÄÚµÄƽ¾ùËٶȴúÌæ˲ʱËٶȣ®
 vB=$\frac{d}{¡÷{t}_{2}}$£¬vA=$\frac{d}{¡÷{t}_{1}}$
»¬¿éºÍíÀÂë×é³ÉµÄϵͳ¶¯ÄܵÄÔö¼ÓÁ¿¡÷Ek=$\frac{1}{2}$£¨M+m£©£¨$\frac{d}{¡÷{t}_{2}}$£©2-$\frac{1}{2}$£¨M+m£©£¨$\frac{d}{¡÷{t}_{1}}$£©2£¬
»¬¿éºÍíÀÂë×é³ÉµÄϵͳÖØÁ¦ÊÆÄܵļõСÁ¿¡÷Ep=mgL
¿ÉÖªÖ»ÒªÂú×ãmgL=$\frac{1}{2}$£¨M+m£©£¨$\frac{d}{¡÷{t}_{2}}$£©2-$\frac{1}{2}$£¨M+m£©£¨$\frac{d}{¡÷{t}_{1}}$£©2£¬ÏµÍ³»úеÄÜÊغ㣮
£¨3£©ÏµÍ³ÖØÁ¦ÊÆÄܵļõСÁ¿¡÷Ep=mgL=0.02¡Á9.8¡Á1.60=0.314J£®
ϵͳ¶¯ÄܵÄÔö¼ÓÁ¿¡÷Ek=$\frac{1}{2}$£¨M+m£©£¨$\frac{d}{¡÷{t}_{2}}$£©2-$\frac{1}{2}$£¨M+m£©£¨$\frac{d}{¡÷{t}_{1}}$£©2=$\frac{1}{2}$¡Á£¨0.18+0.02£©¡Á[£¨$\frac{8.4¡Á1{0}^{-3}}{4.2¡Á1{0}^{-3}}$£©2-£¨$\frac{8.4¡Á1{0}^{-3}}{8.4¡Á1{0}^{-3}}$£©2]J=0.300J
¹Ê´ð°¸Îª£º
£¨1£©=£®£¨2£©$mgL=\frac{1}{2}£¨M+m£©£¨\frac{d}{{¡÷{t_2}}}{£©^2}-\frac{1}{2}£¨M+m£©£¨\frac{d}{{¡÷{t_2}}}{£©^2}$£®£¨3£©0.314£¬0.300£®

µãÆÀ ½â¾ö±¾ÌâµÄ¹Ø¼üÕÆÎÕʵÑéµÄÔ­Àí£¬¼´Ñé֤ϵͳÖØÁ¦ÊÆÄܵļõСÁ¿ºÍ¶¯ÄܵÄÔö¼ÓÁ¿ÊÇ·ñÏàµÈ£¬ÒÔ¼°ÕÆÎÕ¼«ÏÞ˼ÏëÔÚÎïÀíÖеÄÔËÓã®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÌî¿ÕÌâ

2£®Èçͼ£¬ÎïÌåBÔÚˮƽÃæÉÏÓÃϸÉþ¿ç¹ý¶¨»¬ÂÖÓëAÏàÁ¬£¬ÔÚÎïÌåAÒÔËÙ¶ÈvÑØÊúÖ±¸ËÔÈËÙÏ»¬µÄ¹ý³ÌÖУ¬ÎïÌåB×ö¼ÓËÙ£¨Ìî¡°¼ÓËÙ¡±¡¢¡°¼õËÙ¡±»ò¡°ÔÈËÙ¡±£©Ô˶¯£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

3£®ÏÂÁÐ˵·¨²»·ûºÏÎïÀíʵ¼ÊµÄÊÇ£¨¡¡¡¡£©
A£®¿ªÆÕÀÕÓÃÁË20ÄêµÄʱ¼äÑо¿ËûµÄÀÏʦµÚ¹ÈµÄÐÐÐǹ۲ì¼Ç¼£¬·¢ÏÖÁËÐÐÐDz»ÊÇ×öÔÈËÙÔ²ÖÜÔ˶¯
B£®¸ç°×ÄáÌá³öµÄÈÕÐÄ˵ÍÆ·­Á˵ØÐÄ˵µÄ¹Ûµã£¬±»ÈËÃdzÆΪ¡°À¹×¡ÁËÌ«Ñô£¬Íƶ¯Á˵ØÇò¡±µÄÈË
C£®Ù¤ÀûÂÔͨ¹ý×Ô¼º·¢Ã÷µÄÍûÔ¶¾µ·¢ÏÖÁËΧÈÆľÐÇת¶¯µÄÎÀÐÇ£¬½øÒ»²½Ö¤Ã÷Á˵ØÐÄ˵µÄ´íÎóÐÔ
D£®º£ÍõÐǵķ¢ÏÖ£¬Êǵ¹úµÄÙ¤ÀÕÔÚÒ»´ÎżȻµÄ»ú»áÏ·¢Ïֵģ¬Ã»ÓÐÈκÎÀíÂÛ¸ù¾Ý

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ

20£®ÈçͼËùʾ£¬ÑØˮƽ·½Ïò·ÅÖõÄƽÐнðÊô°åaºÍb£¬·Ö±ðÓëµçÔ´µÄÕý¸º¼«ÏàÁ¬£®a£¬b°åµÄÖÐÑëÑØÊúÖ±·½Ïò¸÷ÓÐÒ»¸öС¿×£¬´øÕýµçµÄÒºµÎ´ÓС¿×µÄÕýÉÏ·½PµãÓɾ²Ö¹×ÔÓÉÂäÏ£¬ÏȺ󴩹ýÁ½¸öС¿×ºóËÙ¶ÈΪv1£¬ÏÖ½øÐÐÏÂÁвÙ×÷ºóÏàͬµÄÒºµÎÈÔ´ÓPµã×ÔÓÉÂäÏ£¬ÏȺ󴩹ýÁ½¸öС¿×ºóËÙ¶Èv2£»ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÈôKµç¼ü±£³Ö±ÕºÏ£¬ÏòÏÂÒƶ¯b°å£¬Ôòv2£¾v1
B£®Èôµç¼üK±ÕºÏÒ»¶Îʱ¼äºóÔٶϿª£¬ÏòÏÂÒƶ¯b°å£¬Ôòv2£¾v1
C£®Èôµç¼üK±£³Ö±ÕºÏ£¬ÎÞÂÛÏòÉÏ»òÏòÏÂÒƶ¯b°å£¬Ôòv2=v1
D£®Èôµç¼üK±ÕºÏÒ»¶Îʱ¼äÔٶϿª£¬ÎÞÂÛÏòÉÏ»òÏòÏÂÒƶ¯a°å£¬Ôòv2£¼v1

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

7£®¡°ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨Ôò¡±µÄʵÑéÇé¿öÈçͼ¼×Ëùʾ£¬ÆäÖÐAΪ¹Ì¶¨ÏðƤ½îµÄͼ¶¤£¬OΪÏðƤ½îÓëϸÉþµÄ½áµã£¬OBºÍOCΪϸÉþ£®Í¼ÒÒÊÇÔÚ°×Ö½Éϸù¾ÝʵÑé½á¹û»­³öµÄͼ£®
£¨1£©Èç¹ûûÓвÙ×÷ʧÎó£¬Í¼ÒÒÖеÄFÓëF¡äÁ½Á¦ÖУ¬·½ÏòÒ»¶¨ÑØAO·½ÏòµÄÊÇF¡ä£®
£¨2£©±¾ÊµÑé²ÉÓõĿÆѧ·½·¨ÊÇB£®
A£®ÀíÏëʵÑé·¨  B£®µÈЧÌæ´ú·¨  C£®¿ØÖƱäÁ¿·¨  D£®½¨Á¢ÎïÀíÄ£ÐÍ·¨
£¨3£©ÔÚ´ËʵÑé¹ý³ÌÖбØÐë×¢ÒâÒÔϼ¸Ï
A£®Á½¸ùϸÉþ±ØÐëµÈ³¤
B£®ÏðƤÌõÓ¦ÓëÁ½Éþ¼Ð½ÇµÄƽ·ÖÏßÔÚͬһֱÏßÉÏ
C£®ÔÚʹÓõ¯»É³ÓʱҪעÒâʹµ¯»É³ÓÓëľ°åƽÃæƽÐÐ
D£®ÔÚÓÃÁ½¸öµ¯»É³ÓͬʱÀ­Ï¸ÉþʱҪעÒâʹÁ½¸öµ¯»É³ÓµÄ¶ÁÊýÏàµÈ
E£®ÔÚÓÃÁ½¸öµ¯»É³ÓͬʱÀ­Ï¸Éþʱ±ØÐ뽫ÏðƤÌõµÄÁíÒ»¶ËÀ­µ½ÓÃÒ»¸öµ¯»É³ÓÀ­Ê±¼ÇϵÄλÖÃ
ÆäÖÐÕýÈ·µÄÊÇCE£®£¨ÌîÈëÏàÓ¦µÄ×Öĸ£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

17£®¹ØÓÚ×ÔÓÉÕñ¶¯ºÍÊÜÆÈÕñ¶¯£¬ÏÂÁÐ˵·¨Öв»ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÎïÌå×ö×ÔÓÉÕñ¶¯µÄÖÜÆÚµÈÓÚ¹ÌÓÐÖÜÆÚ
B£®ÎïÌå×ö×èÄáÕñ¶¯µÄÖÜÆÚµÈÓÚ¹ÌÓÐÖÜÆÚ
C£®ÎïÌå×öÊÜÆÈÕñ¶¯µÄÖÜÆÚµÈÓÚ¹ÌÓÐÖÜÆÚ
D£®·¢Éú¹²Õñʱ£¬Õñ¶¯µÄÖÜÆÚµÈÓÚ¹ÌÓÐÖÜÆÚ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

4£®Ò»¶¨ÖÊÁ¿µÄÀíÏëÆøÌå´Ó״̬A±ä»¯µ½×´Ì¬BÔٱ仯µ½×´Ì¬C£¬Æä״̬±ä»¯¹ý³ÌµÄp-VͼÏóÈçͼËùʾ£®ÒÑÖª¸ÃÆøÌåÔÚ״̬AʱµÄζÈΪ27¡æ£¬Ôò
£¨1£©¸ÃÆøÌåÔÚ״̬BʱµÄζȣ¿
£¨2£©¸ÃÆøÌå´Ó״̬Aµ½×´Ì¬CµÄ¹ý³ÌÖÐÊÇÎüÈÈ£¬»¹ÊÇ·ÅÈÈ£¿
£¨3£©´«µÝµÄÈÈÁ¿ÊǶàÉÙ£¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

1£®ÈçͼËùʾ£¬µ¥ÔÑÏßȦABCDÔÚÍâÁ¦×÷ÓÃÏÂÒÔËÙ¶ÈvÏòÓÒÔÈËÙ½øÈëÔÈÇ¿´Å³¡£¬µÚ¶þ´ÎÓÖÒÔËÙ¶È2vÔÈËÙ½øÈëͬһÔÈÇ¿´Å³¡£®£¨¡¡¡¡£©
A£®µÚ¶þ´ÎÓëµÚÒ»´ÎÏßȦÖеçÁ÷Ö®±È2£º1
B£®µÚ¶þ´ÎÓëµÚÒ»´ÎÍâÁ¦×ö¹¦µÄ¹¦ÂÊÖ®±È2£º1
C£®µÚ¶þ´ÎÓëµÚÒ»´ÎÏßȦÖвúÉúÈÈÁ¿Ö®±È4£º1
D£®µÚ¶þ´ÎÓëµÚÒ»´ÎÁ÷¹ýÏßȦµÄµçºÉÁ¿Ö®±È 2£º1

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

2£®²â¶¨µçÁ÷±íÄÚµç×èµÄʵÑéÖб¸ÓõÄÆ÷¼þÓУº
A£®Ð¡Á¿³ÌµçÁ÷±íG£¨Á¿³Ì0¡«100¦ÌA£©
B£®µç×èÏ䣨×èÖµ·¶Î§0¡«999.9¦¸£©
C£®µç×èÏ䣨×èÖµ·¶Î§0¡«99999¦¸£©
D£®µçÔ´£¨µç¶¯ÊÆ2V£¬ÓÐÄÚ×裩
E£®µçÔ´£¨µç¶¯ÊÆ6V£¬ÓÐÄÚ×裩
F£®¿ª¹ØºÍµ¼Ïß
£¨1£©Èç¹û²ÉÓÃÈçͼËùʾµÄµç·²â¶¨Ð¡Á¿³ÌµçÁ÷GµÄµç×èÖµÇÒÒªÏëµÃµ½½Ï¸ßµÄ¾«È·¶È£¬ÄÇôÒÔÉϱ¸ÓÃÆ÷¼þÖУ¬µç×èR1ӦѡÓÃC£¬¿É±äµç×èR2ӦѡÓÃB£¬µçÔ´EӦѡÓÃE£®£¨¾ùÓÃ×Öĸ´úºÅÌîд£©
ijͬѧÀûÓøõç·ͼÁ½´Î²âÁ¿µçÁ÷±íÄÚµç×èµÄʵÑé²Ù×÷²½ÖèÈçÏ£º
£¨2£©µÚÒ»´Î²âÁ¿£ººÏÉÏS1£¬¶Ï¿ªS2£¬µ÷½Úµç×èÏäR1µÄ×èÖµ£¬Ê¹µçÁ÷±íÖ¸Õëƫתµ½Âú¿Ì¶È£¬ÔÙºÏÉÏS2£¬µ÷½ÚR2µÄ×èÖµ£¬Ê¹µçÁ÷±íÖ¸Õëƫתµ½Âú¿Ì¶ÈµÄ$\frac{2}{3}$£¬¶Á³öR2µÄ×èֵΪR0£¬ÔòµçÁ÷±íÄÚµç×èRgµÄ²âÁ¿ÖµÎª$\frac{{R}_{0}}{2}$£®
£¨3£©µÚ¶þ´Î²âÁ¿£ººÏÉÏS1£¬¶Ï¿ªS2£¬µ÷½Úµç×èÏäR1µÄ×èÖµ£¬Ê¹µçÁ÷±íÖ¸Õëƫתµ½Âú¿Ì¶È£¬ÔÙºÏÉÏS2£¬µ÷½ÚR2µÄ×èÖµ£¬Ê¹µçÁ÷±íÖ¸Õëƫתµ½Âú¿Ì¶ÈµÄÒ»°ëʱ£¬¶Á³öR2µÄ×èֵΪR0¡ä£¬ÔòµçÁ÷±íÄÚµç×èRgµÄ²âÁ¿ÖµÎªR0¡ä£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸