10£®ÈçͼËùʾÔÚˮƽµØÃæÉϹ̶¨Ò»¸ö°ë¾¶ÎªRµÄ°ëÔ²ÐιìµÀ£¬ÆäÖÐÔ²»¡²¿·Ö¹â»¬£¬Ë®Æ½¶Î³¤ÎªL£¬Ò»ÖÊÁ¿ÎªmµÄСÎï¿é½ô¿¿Ò»¸ù±»Ñ¹ËõµÄµ¯»É¹Ì¶¨ÔÚˮƽ¹ìµÀµÄ×îÓҶˣ¬Ð¡Îï¿éÓëˮƽ¹ìµÀ¼äµÄ¶¯Ä¦²ÁÒòÊýΪ¦Ì£¬ÏÖͻȻÊÍ·ÅСÎï¿é£¬Ð¡Îï¿é±»µ¯³ö£¬Ç¡ºÃÄܹ»µ½´ïÔ²»¡¹ìµÀµÄ×î¸ßµãA£¬È¡g=10m/s2£¬ÇÒµ¯»É³¤¶ÈºöÂÔ²»¼Æ£¬Çó£º
£¨1£©Ð¡Îï¿éµÄÂäµã¾àO¡äµÄ¾àÀ룻
£¨2£©Ð¡Îï¿éÊÍ·ÅÇ°µ¯»É¾ßÓеĵ¯ÐÔÊÆÄÜ£®

·ÖÎö £¨1£©Ð¡Îï¿é±»µ¯³öÇ¡ºÃÄܹ»Ô˶¯µ½Ô²»¡¹ìµÀµÄ×î¸ßµãAʱ£¬ÓÉÖØÁ¦ÌṩÏòÐÄÁ¦£¬ÁÐʽ¿ÉÇó³öСÎï¿éÔÚÔ²»¡¶¥¶ËA´¦ËٶȴóС£¬ÔÙ¸ù¾ÝƽÅ×Ô˶¯µÄ֪ʶÇóˮƽλÒÆ֪СÎï¿éµÄÂäµã¾àO¡äµÄˮƽ¾àÀ룻
£¨2£©Ð¡Îï¿éÔÚÔ²»¡¹ìµÀÉÏ´Ó×îµÍµãÔ˶¯µ½×î¸ßµãµÄ¹ý³ÌÖУ¬ÓÉ»úеÄÜÊغ㶨ÂÉÁÐʽ£¬Ð¡Îï¿é±»µ¯»Éµ¯³öµ½Ô˶¯µ½Ô²»¡¹ìµÀµÄ×îµÍµãµÄ¹ý³ÌÓɹ¦ÄܹØϵÁÐʽ£¬Ð¡Îï¿éÊÍ·ÅÇ°µ¯»É¾ßÓеĵ¯ÐÔÊÆÄܾ͵ÈÓÚСÎï¿é±»µ¯³öʱµÄ¶¯ÄÜ£¬ÁªÁ¢·½³Ì¼´¿ÉÇó½â£®

½â´ð ½â£º£¨1£©ÉèСÎï¿é±»µ¯»Éµ¯³öʱµÄËٶȴóСΪv1£¬µ½´ïÔ²»¡¹ìµÀµÄ×îµÍµãʱËٶȴóСΪv2£¬µ½´ïÔ²»¡¹ìµÀµÄ×î¸ßµãʱËٶȴóСΪv3£¬ÒòΪСÎï¿éÇ¡ºÃÄܵ½´ïÔ²»¡¹ìµÀµÄ×î¸ßµã£¬¹ÊÏòÐÄÁ¦¸ÕºÃÓÉÖØÁ¦Ìṩ£¬ÓУº
$m\frac{{{v}_{3}}^{2}}{R}$=mg¡­¢Ù
СÎï¿éÓÉAÉä³öºó×öƽÅ×Ô˶¯£¬ÓÉƽÅ×Ô˶¯µÄ¹æÂÉÓУº
x=v3t¡­¢Ú
2R=$\frac{1}{2}$gt2¡­¢Û
ÁªÁ¢¢Ù¢Ú¢Û½âµÃ£ºx=2R£¬
¼´Ð¡Îï¿éµÄÂäµã¾àO¡äµÄ¾àÀëΪ2R
£¨2£©Ð¡Îï¿éÔÚÔ²»¡¹ìµÀÉÏ´Ó×îµÍµãÔ˶¯µ½×î¸ßµãµÄ¹ý³ÌÖУ¬ÓÉ»úеÄÜÊغ㶨Âɵãº
$\frac{1}{2}$mv${\;}_{2}^{2}$=mg¡Á2R+$\frac{1}{2}$mv${\;}_{3}^{2}$¡­¢Ü
СÎï¿é±»µ¯»Éµ¯³öµ½Ô˶¯µ½Ô²»¡¹ìµÀµÄ×îµÍµãµÄ¹ý³ÌÓɹ¦ÄܹØϵµÃ£º
$\frac{1}{2}$mv${\;}_{1}^{2}$=$\frac{1}{2}$mv${\;}_{2}^{2}$+¦ÌmgL¡­¢Ý
СÎï¿éÊÍ·ÅÇ°µ¯»É¾ßÓеĵ¯ÐÔÊÆÄܾ͵ÈÓÚСÎï¿é±»µ¯³öʱµÄ¶¯ÄÜ£¬¹ÊÓУº
Ep=$\frac{1}{2}$mv${\;}_{1}^{2}$¡­¢Þ
Óɢ٢ܢݢÞÁªÁ¢½âµÃ£ºEp=$\frac{5}{2}$mgR+¦ÌmgL£®
´ð£º£¨1£©Ð¡Îï¿éµÄÂäµã¾àO¡äµÄ¾àÀëΪ2R£»
£¨2£©Ð¡Îï¿éÊÍ·ÅÇ°µ¯»É¾ßÓеĵ¯ÐÔÊÆÄÜΪ$\frac{5}{2}$mgR+¦ÌmgL£®

µãÆÀ ±¾ÌâÊÇÔ²ÖÜÔ˶¯¡¢Æ½Å×Ô˶¯Óë»úеÄÜÊغ㶨ÂɺͶ¯Äܶ¨ÀíµÄ×ÛºÏÓ¦Ó㬹ؼü·ÖÎöÎï¿éÔÚ×î¸ßµãºÍ×îµÍµãµÄÏòÐÄÁ¦À´Ô´£¬ÅжÏÄÜÁ¿ÈçºÎת»¯£¬ÔÙÁÐʽÇó½â£®×ÛºÏÐͽÏÇ¿£¬ÄѶÈÖеȣ®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

13£®ÈçͼËùʾ£¬Îï¿éAÒÔ³õËÙ¶Èv0=10m/sÑØˮƽÃæÔ˶¯£¬ÓÉÓÚĦ²ÁÁ¦×÷ÓÃÆä¼ÓËÙ¶ÈΪa=-2m/s2£»Ð¡ÇòBÔòÔÚÎï¿éAµÄºóÃæÏà¾àx0=8m´¦ÒÔËÙ¶Èv=8m/s×öÔÈËÙÖ±ÏßÔ˶¯£¬Ç󣺾­¹ý¶à³¤Ê±¼äСÇòB×·ÉÏÎï¿éA£¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

14£®Ò»ÎïÌåÔÚÒ»¸öˮƽÀ­Á¦×÷ÓÃϵĴֲÚˮƽÃæÉÏÑØˮƽ·½ÏòÔ˶¯µÄv-tͼÏóÈçͼ¼×Ëùʾ£¬Ë®Æ½À­Á¦µÄP-tͼÏóÈçͼÒÒËùʾ£¬g=10m/s2£¬Í¼Öи÷Á¿µÄµ¥Î»¾ùΪ¹ú¼Êµ¥Î»ÖƵ¥Î»£®

£¨1£©Èô´ËˮƽÀ­Á¦ÔÚ6sÄÚ¶ÔÎïÌåËù×öµÄ¹¦Ï൱ÓÚÒ»¸öºã¶¨Á¦F¡äÑØÎïÌåλÒÆ·½ÏòËù×÷µÄ¹¦£¬ÔòF¡ä¶à´ó£¿
£¨2£©ÇóÎïÌåµÄÖÊÁ¿¼°ÎïÌåÓëˮƽÃæ¼äµÄ¶¯Ä¦²ÁÒòÊý£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

11£®Èçͼ±íʾ¹þ´ó¸ßÌúÔËÓªÀï³Ì921¹«ÀÉè¼ÆʱËÙ350¹«ÀijÁгµµ½´ï´óÁ¬±±Õ¾Ê±×öÔȼõËÙÖ±ÏßÔ˶¯£¬¿ªÊ¼É²³µºóµÚ5sÄÚµÄλÒÆʱ57.5m£¬µÚ10sÄÚµÄλÒÆÊÇ32.5m£¬ÔòÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÔÚÑо¿Áгµ´Ó¹þ¶û±õµ½´óÁ¬ËùÓÃʱ¼äʱ²»ÄÜ°ÑÁгµ¿´³ÉÖʵã
B£®Ê±ËÙ350¹«ÀïÊÇָƽ¾ùËٶȣ¬921¹«ÀïÊÇָλÒÆ
C£®Áгµ×÷ÔȼõËÙÖ±ÏßÔ˶¯Ê±µÄ¼ÓËٶȴóСΪ6.25m/s2
D£®ÁгµÔÚ¿ªÊ¼¼õËÙʱËÙ¶ÈΪ80m/s

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

5£®ÔÚÆû³µÖÐÐü¹ÒһСÇò£¬µ±Æû³µÔÚ×÷ÔȱäËÙÔ˶¯Ê±£¬ÐüÏß²»ÔÚÊúÖ±·½ÏòÉÏ£¬Ôòµ±ÐüÏß±£³ÖÓëÊúÖ±·½Ïò¼Ð½ÇΪ¦Èʱ£¬Æû³µµÄ¼ÓËÙ¶ÈÓжà´ó£¿²¢ÌÖÂÛÆû³µ¿ÉÄܵÄÔ˶¯Çé¿ö£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

15£®ÈçͼËùʾµç·ÖУ¬µçÔ´µç¶¯ÊÆΪE¡¢ÄÚ×èΪr£¬±ÕºÏ¿ª¹ØS£¬Ôö´ó¿É±äµç×èRµÄ×èÖµºó£¬µçѹ±íʾÊýµÄ±ä»¯Á¿Îª¡÷U£®ÔÚÕâ¸ö¹ý³ÌÖУ¬ÏÂÁÐÅжÏÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®µç×èR1Á½¶ËµÄµçѹ¼õС£¬¼õСÁ¿µÈÓÚ¡÷U
B£®µçÈÝÆ÷µÄ´øµçºÉÁ¿¼õС£¬¼õСÁ¿µÈÓÚC¡÷U
C£®µçѹ±íµÄʾÊýUºÍµçÁ÷±íµÄʾÊýIµÄ±ÈÖµ²»±ä
D£®µçѹ±íʾÊý±ä»¯Á¿¡÷UºÍµçÁ÷±íʾÊý±ä»¯Á¿¡÷IµÄ±ÈÖµ²»±ä

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

2£®Æû³µ·¢¶¯»úµÄ¹¦ÂÊΪ60kW£¬Æû³µµÄÖÊÁ¿Îª4¡Á103kg£®Æû³µÔÚ×ã¹»³¤µÄˮƽ·Ãæ´Ó¾²Ö¹ÒÔ0.6m/s2µÄ¼ÓËÙ¶È×öÔȼÓËÙÖ±ÏßÔ˶¯£¬ÒÑÖªÆû³µÔÚÐÐÊ»ÖÐËùÊÜ·Ãæ×èÁ¦ºã¶¨ÎªÖØÁ¦µÄ0.1±¶£¬gÈ¡10m/s2£¬Çó£º
£¨1£©Æû³µÔÚˮƽ·ÃæÄÜ´ïµ½µÄ×î´óËÙ¶Èvmax£»
£¨2£©Æû³µÔÚˮƽ·Ãæ×öÔȼÓËÙÔ˶¯ÄÜά³Ö¶à³¤Ê±¼ä£¿
£¨3£©ÔÚ10sÄ©Æû³µµÄ˲ʱ¹¦Âʶà´ó£¿20sÄ©Æû³µµÄ˲ʱ¹¦ÂÊÓÖÊǶàÉÙÄØ£¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

19£®Ä³Ì½¾¿Ñ§Ï°Ð¡×éµÄͬѧÓûÑéÖ¤¡°¶¯Äܶ¨Àí¡±£¬ËûÃÇÔÚʵÑéÊÒ×é×°ÁËÒ»Ì×ÈçͼËùʾµÄ×°Öã¬ÁíÍâËûÃÇ»¹ÕÒµ½ÁË´òµã¼ÆʱÆ÷ËùÓõÄѧÉúµçÔ´¡¢µ¼Ïß¡¢¸´Ð´Ö½¡¢Ö½´ø¡¢Ð¡Ä¾¿é¡¢Ï¸É³£®µ±»¬¿éÁ¬½ÓÉÏÖ½´ø£¬ÓÃϸÏßͨ¹ý»¬ÂÖ¹ÒÉÏ¿ÕµÄСɳͰʱ£¬ÊÍ·ÅСͰ£¬»¬¿é´¦ÓÚ¾²Ö¹×´Ì¬£®ÈôÄãÊÇС×éÖеÄһλ³ÉÔ±£¬ÒªÍê³É¸ÃÏîʵÑ飬Ôò£º
£¨1£©ÄãÈÏΪ»¹ÐèÒªµÄʵÑéÆ÷²ÄÓп̶ȳߡ¢Ììƽ£®
£¨2£©ÊµÑéʱΪÁ˱£Ö¤»¬¿éÊܵ½µÄºÏÁ¦ÓëɳºÍɳͰµÄ×ÜÖØÁ¦´óС»ù±¾ÏàµÈ£¬É³ºÍɳͰµÄ×ÜÖÊÁ¿Ó¦Âú×ãµÄʵÑéÌõ¼þÊÇɳºÍɳͰµÄÖÊÁ¿Ô¶Ð¡ÓÚ»¬¿éµÄÖÊÁ¿£¬ÊµÑéʱÊ×ÏÈÒª×öµÄ²½ÖèÊÇƽºâĦ²ÁÁ¦£®
£¨3£©ÔÚ£¨2£©µÄ»ù´¡ÉÏ£¬Ä³Í¬Ñ§ÓÃÌìƽ³ÆÁ¿»¬¿éµÄÖÊÁ¿M£®ÍùɳͰÖÐ×°ÈëÊÊÁ¿µÄϸɳ£¬ÓÃÌìƽ³Æ³ö´ËʱɳºÍɳͰµÄ×ÜÖÊÁ¿m£®ÈÃɳͰ´ø¶¯»¬¿é¼ÓËÙÔ˶¯£¬Óôòµã¼ÆʱÆ÷¼Ç¼ÆäÔ˶¯Çé¿ö£¬ÔÚ´òµã¼ÆʱÆ÷´ò³öµÄÖ½´øÉÏÈ¡Á½µã£¬²â³öÕâÁ½µãµÄ¼ä¾àLºÍÕâÁ½µãµÄËٶȴóСv1Óëv2£¨v1£¼v2£©£®Ôò±¾ÊµÑé×îÖÕÒªÑéÖ¤µÄÊýѧ±í´ïʽΪmgL=$\frac{1}{2}$M£¨v22-v12£©£¨ÓÃÌâÖеÄ×Öĸ±íʾʵÑéÖвâÁ¿µÃµ½µÄÎïÀíÁ¿£©£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

20£®ÏÂÁÐËÄ·ùͼÏóÖÐÄÜÃèÊöÎïÌå×ö×ÔÓÉÂäÌåÔ˶¯¹æÂɵÄͼÏóÊÇ£¨¡¡¡¡£©
A£®B£®C£®D£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸