3£®Èçͼ£¬Ä¾°åA¾²Ö¹Ôڹ⻬ˮƽÃæÉÏ£¬Æä×ó¶ËÓë¹Ì¶¨Ì¨½×Ïà¾àx£®Ó뻬¿éB£¨¿ÉÊÓΪÖʵ㣩ÏàÁ¬µÄϸÏßÒ»¶Ë¹Ì¶¨ÔÚOµã£®Ë®Æ½À­Ö±Ï¸Ïß²¢¸øBÒ»¸öÊúÖ±ÏòϵijõËٶȣ¬µ±Bµ½´ï×îµÍµãʱ£¬Ï¸ÏßÇ¡ºÃ±»À­¶Ï£¬B´ÓAÓҶ˵ÄÉϱíÃæˮƽ»¬È룮AÓę̈½×ÅöײÎÞ»úеÄÜËðʧ£¬²»¼Æ¿ÕÆø×èÁ¦£®ÒÑÖªAµÄÖÊÁ¿Îª2m£¬BµÄÖÊÁ¿Îªm£¬A¡¢BÖ®¼ä¶¯Ä¦²ÁÒòÊýΪ¦Ì£»Ï¸Ïß³¤ÎªL¡¢ÄܳÐÊܵÄ×î´óÀ­Á¦ÎªBÖØÁ¦µÄ5±¶£»A×ã¹»³¤£¬B²»»á´ÓA±íÃ滬³ö£»ÖØÁ¦¼ÓËÙ¶ÈΪg£®

£¨1£©ÇóBµÄ³õËٶȴóСv0ºÍϸÏß±»À­¶Ï˲¼äBµÄËٶȴóСv1£»
£¨2£©AÓę̈½×Ö»·¢ÉúÒ»´ÎÅöײ£¬ÇóxÂú×ãµÄÌõ¼þ£»
£¨3£©xÔÚÂú×㣨2£©Ìõ¼þÏ£¬ÌÖÂÛAÓę̈½×Åöײǰ˲¼äµÄËٶȣ®

·ÖÎö £¨1£©¸ù¾Ý»úеÄÜÊغ㶨ÂÉ¡¢½áºÏÅ£¶ÙµÚ¶þ¶¨ÂÉ£¬Í¨¹ýÉþ×ÓµÄ×î´óÀ­Á¦Çó³öBµÄ³õËٶȴóСv0ºÍϸÏß±»À­¶Ï˲¼äBµÄËٶȴóСv1£®
£¨2£©ÈôAÓę̈½×Ö»Åöײһ´Î£¬Åöײºó±ØÐëÂú×ãAµÄ¶¯Á¿´óС´óÓÚBµÄ¶¯Á¿£¬½áºÏ¶¯Äܶ¨ÀíÇó³öAÓę̈½×Ö»ÄÜÅöײһ´ÎµÄÌõ¼þ£®
£¨3£©¸ù¾Ý¶¯Á¿Êغ㶨ÂÉÇó³öA×ó¶Ëµ½Ì¨½×°åǰ˲¼ä£¬A¡¢BÇ¡ºÃ´ïµ½¹²Í¬ËÙ¶Èľ°åAÒƶ¯µÄλÒÆx0£¬È»ºó·ÖÇé¿öÌÖÂÛ£¬µ±x¡Ýx0Îï¿éÓëľ°å¹²ËÙºóÓę̈½×Åöײ£¬µ±x0£¾xÎï¿éÓëľ°å¹²ËÙÇ°Óę̈½×Åöײ£¬¸ù¾Ý¶¯Á¿Êغ㶨ÂɽáºÏ¶¯Äܶ¨ÀíÇó³öAÓę̈½×Åöײǰ˲¼äµÄËٶȣ®

½â´ð ½â£º£¨1£©»¬¿éB´ÓÊͷŵ½×îµÍµã£¬»úеÄÜÊغ㣬ÓУº$\frac{1}{2}m{v}_{0}^{2}+mgL=\frac{1}{2}m{v}_{1}^{2}$¡­¢Ù
ÔÚ×îµÍµã£¬ÓÉÅ£¶ÙÔ˶¯¶¨ÂÉ£º$T-mg=m\frac{{v}_{1}^{2}}{L}$¡­¢Ú
ÓÖ£ºT=5mg¡­¢Û
ÁªÁ¢¢Ù¢Ú¢ÛµÃ£º${v}_{0}=\sqrt{2gL}$£¬v1=$2\sqrt{gL}$  
£¨2£©ÉèAÓę̈½×Åöײǰ˲¼ä£¬A¡¢BµÄËٶȷֱðΪvAºÍvB£¬Óɶ¯Á¿Êغã
mv1=mvB+2mvA¡­¢Ü
ÈôAÓę̈½×Ö»Åöײһ´Î£¬Åöײºó±ØÐëÂú×㣺|2mvA|£¾|mvB|¡­¢Ý
¶ÔAÓ¦Óö¯Äܶ¨Àí£º
$¦Ìmgx=\frac{1}{2}¡Á2m{v}_{A}^{2}$¡­¢Þ
ÁªÁ¢¢Ü¢Ý¢Þ½âµÃ£º$x¡Ý\frac{L}{4¦Ì}$£¬¡­¢ß
¼´AÓę̈½×Ö»ÄÜÅöײһ´ÎµÄÌõ¼þÊÇ£º$x¡Ý\frac{L}{4¦Ì}$£®
£¨3£©Éèx=x0ʱ£¬A×ó¶Ëµ½Ì¨½×°åǰ˲¼ä£¬A¡¢BÇ¡ºÃ´ïµ½¹²Í¬ËÙ¶ÈvAB£¬
Óɶ¯Á¿ÊØºã  mv1=£¨m+2m£©vAB¡­¢à
¶ÔAÓ¦Óö¯Äܶ¨Àí£º$¦Ìmg{x}_{0}=\frac{1}{2}¡Á2m{v}_{AB}^{2}$¡­¢á
ÁªÁ¢¢à¢áµÃ£º${x}_{0}=\frac{4L}{9¦Ì}$¡­¢â
£¨i£©µ±x¡Ýx0¼´$x¡Ý\frac{4L}{9¦Ì}$ʱ£¬AB¹²ËÙºóAÓëµ²°åÅöײ£®
ÓÉ¢à¿ÉµÃAÓę̈½×Åöײǰ˲¼äµÄËÙ${v}_{A1}={v}_{AB}=\frac{{v}_{1}}{3}=\frac{2\sqrt{gL}}{3}$¡­¢â
£¨ii£©µ±${x}_{0}£¾x¡Ý\frac{L}{4¦Ì}$¼´$\frac{4L}{9¦Ì}£¾x¡Ý\frac{L}{4¦Ì}$ʱ£¬AB¹²ËÙÇ°A¾ÍÓę̈½×Åöײ£¬
¶ÔAÓ¦Óö¯Äܶ¨Àí£º$¦Ìmgx=\frac{1}{2}¡Á2m{v}_{A2}^{2}$
AÓę̈½×Åöײǰ˲¼äµÄËٶȣºvA2=$\sqrt{¦Ìgx}$
´ð£º£¨1£©BµÄ³õËٶȴóСΪ$\sqrt{2gL}$£¬Ï¸Ïß±»À­¶Ï˲¼äBµÄËٶȴóСΪ$2\sqrt{gL}$£»
£¨2£©AÓę̈½×Ö»·¢ÉúÒ»´ÎÅöײ£¬ÇóxÂú×ãµÄÌõ¼þ$x¡Ý\frac{L}{4¦Ì}$£®
£¨3£©$x¡Ý\frac{4L}{9¦Ì}$ʱ£¬AÓę̈½×Åöײǰ˲¼äµÄËÙ¶È$\frac{2\sqrt{gL}}{3}$£¬$\frac{4L}{9¦Ì}£¾x¡Ý\frac{L}{4¦Ì}$ʱ£¬AÓę̈½×Åöײǰ˲¼äµÄËÙ¶È$\sqrt{¦Ìgx}$£®

µãÆÀ ±¾Ìâ×ۺϿ¼²éÁ˶¯Äܶ¨Àí¡¢»úеÄÜÊغ㶨ÂÉ¡¢Å£¶ÙµÚ¶þ¶¨ÂÉ¡¢¶¯Á¿Êغ㶨ÂÉ£¬×ÛºÏÐÔÇ¿£¬¶ÔѧÉúÄÜÁ¦µÄÒªÇó½Ï¸ß£¬ÊÇÒ»µÀÄÑÌ⣮ÔÚµÚÈýÎÊÖпÉÄÜAB¹²ËÙºóÓę̈½×Åöײ£¬¿ÉÄܹ²ËÙÇ°Óę̈½×Åöײ£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

13£®Ä³Ñ§Ï°Ð¡×éÀûÓÃ×ÔÐгµµÄÔ˶¯¡°Ì½¾¿×èÁ¦×ö¹¦ÓëËٶȱ仯µÄ¹Øϵ¡±£®ÈËÆï×ÔÐгµÔÚƽֱµÄ·ÃæÉÏÔ˶¯£¬µ±ÈËÍ£Ö¹µÅ³µºó£¬ÓÉÓÚÊܵ½×èÁ¦×÷Óã¬×ÔÐгµµÄËٶȻáÖð½¥¼õСÖÁÁ㣬Èçͼ1Ëùʾ£®Ôڴ˹ý³ÌÖУ¬×èÁ¦×ö¹¦Ê¹×ÔÐгµµÄËٶȷ¢Éú±ä»¯£®Éè×ÔÐгµÎÞ¶¯Á¦ºóÊܵ½µÄ×èÁ¦ºã¶¨£®
£¨1£©ÔÚʵÑéÖÐʹ×ÔÐгµÔÚƽֱµÄ¹«Â·ÉÏ»ñµÃijһËٶȺóÍ£Ö¹µÅ³µ£¬ÐèÒª²â³öÈËÍ£Ö¹µÅ³µºó×ÔÐгµÏòÇ°»¬ÐеľàÀës£¬ÎªÁ˼ÆËã×ÔÐгµµÄ³õËٶȣ¬»¹ÐèÒª²âÁ¿ÈËÍ£Ö¹µÅ³µºó×ÔÐгµ»¬ÐеÄʱ¼ät£¨ÌîдÎïÀíÁ¿µÄÃû³Æ¼°·ûºÅ£©£®
£¨2£©Éè×ÔÐгµÊܵ½µÄ×èÁ¦ºãΪf£¬¼ÆËã³ö×èÁ¦×öµÄ¹¦¼°×ÔÐгµµÄ³õËٶȣ®¸Ä±äÈËÍ£Ö¹µÅ³µÊ±×ÔÐгµµÄËٶȣ¬Öظ´ÊµÑ飬¿ÉÒԵõ½¶à×é²âÁ¿Öµ£®ÒÔ×èÁ¦¶Ô×ÔÐгµ×ö¹¦µÄ´óСΪ×Ý×ø±ê£¬×ÔÐгµµÄËÙ¶ÈΪºá×ø±ê£¬×÷³öWvÇúÏߣ®·ÖÎöÕâÌõÇúÏߣ¬¾Í¿ÉÒԵõ½×èÁ¦×öµÄ¹¦Óë×ÔÐгµËٶȱ仯µÄ¶¨ÐÔ¹Øϵ£®ÔÚʵÑéÖÐ×÷³öWvͼÏóÈçͼ2Ëùʾ£¬ÆäÖзûºÏʵ¼ÊÇé¿öµÄÊÇC£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

14£®ÈçͼËùʾ£¬¼×¡¢ÒÒÁ½Í¼·Ö±ðÓеÈÁ¿Í¬ÖֵĵçºÉA1¡¢B1ºÍµÈÁ¿ÒìÖֵĵçºÉA2¡¢B2£®ÔÚ¼×ͼµçºÉA1¡¢B1µÄµç³¡ÖУ¬a1¡¢O1¡¢b1ÔÚµãµçºÉA1¡¢B1µÄÁ¬ÏßÉÏ£¬c1¡¢O1¡¢d1£¬ÔÚA1¡¢B1Á¬ÏßµÄÖд¹ÏßÉÏ£¬O1a1=O1b1=O1c1=O1d1£»ÔÚÒÒͼµçºÉA2¡¢B2µÄµç³¡ÖÐͬÑùÒ²´æÔÚÕâЩµã£¬ËüÃÇ·Ö±ðÓÃa2¡¢O2¡¢b2ºÍc2¡¢O2¡¢d2±íʾ£¬ÇÒO2a2=O2b2=O2c2=O2d2£®Ôò£¨¡¡¡¡£©
A£®a1¡¢b1Á½µãµÄ³¡Ç¿Ïàͬ£¬µçÊÆÏàͬB£®c1¡¢d1Á½µãµÄ³¡Ç¿Ïàͬ£¬µçÊÆÏàͬ
C£®a2¡¢b2Á½µãµÄ³¡Ç¿Ïàͬ£¬µçÊÆÏàͬD£®c2¡¢d2Á½µãµÄ³¡Ç¿Ïàͬ£¬µçÊÆÏàͬ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

11£®¶¯³µ×éÊdzǼʼäʵÏÖС±à×é¡¢´óÃܶȵĸßЧÔËÊ乤¾ß£¬ÒÔÆä±à×éÁé»î¡¢·½±ã¡¢¿ì½Ý¡¢°²È«£¬¿É¿¿¡¢ÊæÊʵÄÌصã¶ø±¸ÊÜÊÀ½ç¸÷¹úÌú·ÔËÊäºÍ³ÇÊйìµÀ½»Í¨ÔËÊäµÄÇàíù£®¶¯³µ×é¾ÍÊǼ¸½Ú×Ô´ø¶¯Á¦µÄ³µÏá¼Ó¼¸½Ú²»´ø¶¯Á¦µÄ³µÏá±à³ÉÒ»×飬¾ÍÊǶ¯³µ×飮¼ÙÉèÓÐÒ»¶¯³µ×éÓÉÁù½Ú³µÏáÁ¬½Ó¶ø³É£¬Ã¿½Ú³µÏáµÄ×ÜÖÊÁ¿¾ùΪ8¡Á104kgÆäÖеÚÒ»½ÚµÚ¶þ½Ú´ø¶¯Á¦ËûÃǵĶ¹¦ÂÊ·Ö±ðÊÇ2¡Á107WºÍ1¡Á107W³µÔÚÐÐÊ»¹ý³ÌÖÐ×èÁ¦ºãΪÖØÁ¦µÄ0.1±¶£®Çó£º
£¨1£©¸Ã¶¯³µ×éµÄ×î´óÐÐÊ»Ëٶȣ»
£¨2£©ÈôÁгµÒÔ1m/s2µÄÔȼÓËÙÔ˶¯£¬t=10sʱ¿Ì£¬µÚÒ»ºÍµÚ¶þ½Ú³µÏáÖ®¼äµÄÁ¬½Ó¸ËÖпÉÄܵÄ×î´ó×÷ÓÃÁ¦£»
£¨3£©ÔÚÒÔ1m/s2µÄÔȼÓËٽ׶ÎÖУ¬t=10sʱ¿Ì¼ÙÈçµÚÒ»¶þÁ½½Ú³µÏáµÄÀ­Á¦ÎªÁã´ËʱµÚ¶þ½Ú³µÏáµÄʵ¼Ê¹¦ÂÊÊǶàÉÙ£¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

18£®ÔÚÈçͼËùʾµÄµç·ÖУ¬µçÈÝÆ÷AµÄµçÈÝCA=30¦ÌF£¬µçÈÝÆ÷BµÄµçÈÝCB=10¦ÌF£®ÔÚµç¼üK1¡¢K2¶¼ÊǶϿªµÄÇé¿öÏ£¬·Ö±ð¸øµçÈÝÆ÷A¡¢B³äµç£®³äµçºó£¬MµãµÄµçÊƱÈNµã¸ß5V£¬OµãµÄµçÊƱÈPµãµÍ5V£®È»ºó°ÑK1¡¢K2¶¼½Óͨ£¬½ÓͨºóMµãµÄµçÊƱÈNµã¸ß£¨¡¡¡¡£©
A£®10V£®B£®5V£®C£®2.5V£®D£®4.0V

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

8£®ÈçͼËùʾ£¬¹â»¬ÇòµÄÖÊÁ¿Îªm£¬·ÅÔÚÊúÖ±µ²°åºÍÇã½ÇΪ¦ÁµÄ¹Ì¶¨Ð±Ãæ¼ä£®Èô»ºÂýת¶¯µ²°åÖÁÓëбÃæ´¹Ö±£¬´Ë¹ý³ÌÖУ¨¡¡¡¡£©
A£®m¶Ôµ²°åµÄѹÁ¦ÏȼõСºóÔö´óB£®m¶Ôµ²°åµÄѹÁ¦Öð½¥¼õС
C£®m¶ÔбÃæµÄѹÁ¦ÏȼõСºóÔö´óD£®m¶ÔбÃæµÄѹÁ¦Öð½¥Ôö´ó

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

15£®ÈçͼËùʾ£¬Ð¡³µÖÊÁ¿ÎªM=2kg£¬Ä¾¿éÖÊÁ¿Îªm=0.5kg£¬¾²Ö¹Ôڹ⻬ˮƽµØÃæÉÏ£¬t=0ʱ¿Ì¸øС³µÊ©¼ÓÒ»¸ö´óСΪF=20NµÄˮƽÍâÁ¦£¬À­¶¯Ð¡³µÏòÓÒÔ˶¯£®Ä¾¿éºÍС³µÖ®¼äµÄ¶¯Ä¦²ÁÒòÊýΪ¦Ì=0.4£¬Ð¡³µ³¤¶ÈΪ10m£¬£¨g=10m/s2£©
Ç󣺣¨1£©Ä¾¿éºÍС³µµÄ¼ÓËٶȷֱðΪ¶à´ó£¿
£¨2£©¾­¶à³¤Ê±¼äľ¿éÀ뿪С³µ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

12£®Èçͼ¼×£¬Ïà¾àΪLµÄ¹â»¬Æ½ÐнðÊôµ¼¹ìˮƽ·ÅÖ㬵¼¹ìÒ»²¿·Ö´¦ÔÚ´¹Ö±µ¼¹ìƽÃæµÄÔÈÇ¿´Å³¡ÖУ¬oo¡äΪ´Å³¡±ß½ç£¬´Å¸ÐӦǿ¶ÈΪB£¬µ¼¹ìÓÒ²à½ÓÓж¨Öµµç×èR£¬µ¼¹ìµç×èºöÂÔ²»¼Æ£®ÔÚ¾àoo¡äΪL´¦´¹Ö±µ¼¹ì·ÅÖÃÒ»ÖÊÁ¿Îªm¡¢µç×è²»¼ÆµÄ½ðÊô¸Ëab£®

£¨1£©Èôab¸ËÔÚºãÁ¦×÷ÓÃÏÂÓɾ²Ö¹¿ªÊ¼ÏòÓÒÔ˶¯£¬ÆäËÙ¶È-λÒƵĹØϵͼÏóÈçͼÒÒËùʾ£¬ÔòÔڴ˹ý³ÌÖеç×èRÉϲúÉúµÄµçÈÈQ1ÊǶàÉÙ£¿ab¸ËÔÚÀ뿪´Å³¡Ç°Ë²¼äµÄ¼ÓËÙ¶ÈΪ¶àÉÙ£¿
£¨2£©Èôab¸Ë¹Ì¶¨ÔÚµ¼¹ìÉϵijõʼλÖ㬴ų¡°´Bt=Bcos¦Øt¹æÂÉÓÉB¼õСµ½Á㣬Ôڴ˹ý³ÌÖеç×èRÉϲúÉúµÄµçÈÈΪQ2£¬Çó¦ØµÄ´óС£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

13£®ÔÚ³àµÀÉÏ£¬µØ´Å³¡¿ÉÒÔ¿´×÷ÊÇÑØÄϱ±·½Ïò²¢ÇÒÓëµØÃæƽÐеÄÔÈÇ¿´Å³¡£¬´Å¸ÐӦǿ¶ÈÊÇ5¡Á10-5T£®Èç¹û³àµÀÉÏÓÐÒ»ÌõÑض«Î÷·½ÏòµÄÖ±µ¼Ïߣ¬³¤40m¡¢ÔØÓÐ20AµÄµçÁ÷£¬ÔòµØ´Å³¡¶ÔÕâ¸ùµ¼ÏßµÄ×÷ÓÃÁ¦´óСÊÇ£¨¡¡¡¡£©
A£®4¡Á10-8B£®2.5¡Á10-5C£®9¡Á10-4D£®4¡Á10-2

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸