18£®ÈçͼËùʾ£¬´Öϸ¾ùÔȵÄԲľ°ôA϶ËÀëµØÃæ¸ßh£¬É϶ËÌ××ÅÒ»¸öϸ»·B£®AºÍBµÄÖÊÁ¿¾ùΪm£¬AºÍB¼äµÄ»¬¶¯Ä¦²ÁÁ¦Îªf£¬ÇÒf£¼mg£®ÓÃÊÖ¿ØÖÆAºÍB£¬Ê¹ËüÃÇ´Ó¾²Ö¹¿ªÊ¼×ÔÓÉÏÂÂ䣬µ±AÓëµØÃæÅöײºó£¬AÒÔÅöײµØÃæʱµÄËٶȴóСÊúÖ±ÏòÉÏÔ˶¯£¬ÓëµØÃæÅöײʱ¼ä¼«¶Ì£¬¿ÕÆø×èÁ¦²»¼Æ£¬Ô˶¯¹ý³ÌÖÐAʼÖÕ³ÊÊúֱ״̬£®Çó£º
£¨1£©Ä¾°ôAÓëµØÃæµÚÒ»´ÎÅöײºóA¡¢BµÄ¼ÓËٶȴóСºÍ·½Ïò£»
£¨2£©ÈôAÔÙ´Î×ŵØÇ°B²»ÍÑÀëA£¬AµÄ³¤¶ÈÓ¦Âú×ãʲôÌõ¼þ£¿

·ÖÎö ¸Õ¿ªÊ¼°ôºÍ»·Ò»ÆðÏòÏÂ×ö×ÔÓÉÂäÌåÔ˶¯£¬Çó³ö°ôÂäµØʱµÄËٶȣ¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂÉÇó³öľ°ôµ¯ÆðÊúÖ±ÉÏÉý¹ý³ÌÖÐľ°ôºÍ»·µÄ¼ÓËٶȣ¬¶ø»·ÔÚľ°ôÉÏÉý¼°ÏÂÂäµÄÈ«¹ý³ÌÖÐÒ»Ö±´¦ÓÚ¼ÓËÙÔ˶¯×´Ì¬£¬ËùÒÔľ°ô´ÓÏòÉϵ¯Æðµ½ÔÙ´Î×ŵصĹý³ÌÖУ¬°ôÓë»·µÄ¼ÓËٶȾù±£³Ö²»±ä£¬¸ù¾ÝÔ˶¯Ñ§»ù±¾¹«Ê½Çó³ö°ôÔÙ´Î×ŵØʱµÄʱ¼ä£¬´Ó¶øÇó³öÕâ¶Îʱ¼äÄÚ»·Ô˶¯µÄλÒƼ´¿É°ôµÄ×îС³¤¶È£®

½â´ð ½â£º£¨1£©Ä¾°ôÓë»·Ò»Æð×ÔÓÉÏÂÂ䣬Éèľ°ô×ŵØʱµÄËÙ¶ÈΪ${v}_{0}^{\;}$£¬ÔòÓÐ
${v}_{0}^{2}=2gh$                
µÃ£º${v}_{0}^{\;}=\sqrt{2gh}$
ľ°ôAÓëµØÃæµÚÒ»´ÎÅöײºó£¬Ä¾°ôµ¯ÆðÊúÖ±ÉÏÉý¹ý³ÌÖУ¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂɵÃ
¶Ôľ°ô£º$f+mg=m{a}_{1}^{\;}$            
µÃ   ${a}_{1}^{\;}=\frac{f+mg}{m}$    ·½ÏòÊúÖ±ÏòÏÂ
¶Ô»·£º$mg-f=m{a}_{2}^{\;}$               
µÃ   ${a}_{2}^{\;}=\frac{mg-f}{m}$  ·½ÏòÊúÖ±ÏòÏÂ
£¨2£©»·ÔÚľ°ôÉÏÉý¼°Ï½µµÄÈ«¹ý³ÌÖÐÒ»Ö±´¦ÓÚÏòϼÓËÙÔ˶¯×´Ì¬£¬Ä¾°ô´ÓÏòÉϵ¯Æðµ½ÔÙ´Î×ŵصĹý³ÌÖÐľ°ôÓë»·µÄ¼ÓËٶȾù±£³Ö²»±ä£®
ľ°ôÔÚ¿ÕÖÐÔ˶¯µÄʱ¼äΪ     $t=\frac{2{v}_{0}^{\;}}{{a}_{1}^{\;}}$
ÔÚÕâ¶Îʱ¼äÄÚ£¬»·Ô˶¯µÄλÒÆΪ$x={v}_{0}^{\;}t+\frac{1}{2}{a}_{2}^{\;}{t}_{\;}^{2}$        
Ҫʹ»·²»ÅöµØÃ棬ÔòÒªÇóľ°ô³¤¶È²»Ð¡ÓÚx£¬¼´L¡Ýx
½âµÃ£º$L¡Ý\frac{8{m}_{\;}^{2}{g}_{\;}^{2}h}{£¨mg+f£©_{\;}^{2}}$

´ð£º£¨1£©Ä¾°ôAÓëµØÃæµÚÒ»´ÎÅöײºóAµÄ¼ÓËٶȴóСΪ$\frac{f+mg}{m}$ºÍ·½ÏòÊúÖ±ÏòÏ£»BµÄ¼ÓËٶȴóСΪ$\frac{mg-f}{m}$£¬·½ÏòÊúÖ±ÏòÏÂ
£¨2£©ÈôAÔÙ´Î×ŵØÇ°B²»ÍÑÀëA£¬AµÄ³¤¶ÈÓ¦Âú×ãÌõ¼þ$L¡Ý\frac{8{m}_{\;}^{2}{g}_{\;}^{2}h}{£¨mg+f£©_{\;}^{2}}$

µãÆÀ ±¾ÌâÖ÷Òª¿¼²éÁËÅ£¶ÙµÚ¶þ¶¨ÂÉÒÔ¼°Ô˶¯Ñ§»ù±¾¹«Ê½µÄÖ±½ÓÓ¦Óã¬ÒªÇóͬѧÃÇÄÜÕýÈ··ÖÎö°ôºÍ»·µÄÔ˶¯Çé¿ö£¬ÖªµÀ°ôºÍ»·µÄÔ˶¯Ê±¼äÏàµÈ£¬ÔÙץסλÒƹØϵÇó½â£¬ÄѶÈÊÊÖÐ

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

8£®ÔÚÒÔµãµçºÉΪÇòÐÄ£¬rΪ°ë¾¶µÄÇòÃæÉϸ÷µãÏàͬµÄÎïÀíÁ¿ÊÇ£¨¡¡¡¡£©
A£®µç³¡Ç¿¶È
B£®Í¬Ò»µçºÉËùÊܵĵ糡Á¦
C£®µçÊÆ
D£®µçºÉÁ¿ÏàµÈµÄÕý¸ºÁ½µãµçºÉ¾ßÓеĵçÊÆÄÜ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

9£®ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®µçºÉÁ¿eµÄÊýÖµ×îÔçÊÇÓÉ·¨¹úÎïÀíѧ°²Åà²âµÃµÄ
B£®·¨À­µÚ²»½öÌá³öÁ˳¡µÄ¸ÅÄ¶øÇÒÖ±¹ÛµØÃè»æÁ˳¡µÄÇåÎúͼÏó
C£®ÌØ˹À­Ìá³ö·Ö×ÓµçÁ÷¼Ù˵£¬ºÜºÃµÄ½âÊÍÁË´ÅÏÖÏóµÄµç±¾ÖÊ
D£®Ù¤ÀûÂÔÈÏΪÁ¦ÊÇά³ÖÎïÌåÔ˶¯µÄÔ­Òò

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

6£®ÎïÌå´ÓÇã½ÇΪ¦È1µÄ¹Ì¶¨Ð±Ãæ1Óɾ²Ö¹¿ªÊ¼Ï»¬£¬È»ºó»¬ÉÏÇã½ÇΪ¦È2µÄ¹Ì¶¨Ð±Ãæ2²¢Í£ÔÚ2ÉÏ£¬¦È1£¼¦È2£®Á½Ð±Ãæƽ»¬Á¬½Ó£¬ÎïÌåÓëÁ½Ð±ÃæµÄ¶¯Ä¦²ÁÒòÊýÏàͬ£®ÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÎïÌåÑØбÃæÏ»¬µÄʱ¼äСÓÚÑØбÃæÉÏ»¬µÄʱ¼ä
B£®Ï»¬µÄ¼ÓËٶȱÈÉÏ»¬µÄ¼ÓËٶȴó
C£®Ï»¬¹ý³ÌÖÐÖØÁ¦×öµÄ¹¦µÈÓÚÉÏ»¬¹ý³Ì¿Ë·þÖØÁ¦×öµÄ¹¦
D£®Ï»¬¹ý³Ì¿Ë·þĦ²ÁÁ¦×öµÄ¹¦±ÈÉÏ»¬¹ý³Ì¿Ë·þĦ²ÁÁ¦×öµÄ¹¦¶à

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

13£®ÈçͼËùʾ£¬Ð¡ÇòÔÚÊúֱƽÃæÄÚ¶Ô×ÅÔ²»·µÄÔ²ÐÄˮƽÅ׳ö£¬²»¼Æ¿ÕÆø×èÁ¦£¬×îºó´òÔÚÔ²»·ÉÏ£¬ÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®Ð¡ÇòµÄ³õËÙ¶ÈÔö´ó£¬Ô˶¯Ê±¼ä±ä¶ÌB£®Ð¡ÇòÔ˶¯¹ý³ÌÖлúеÄÜÔö¼Ó
C£®Ð¡Çò¿ÉÄÜ´¹Ö±´òÔÚÔ²»·ÉÏD£®Ð¡Çò²»ÄÜ´¹Ö±´òÔÚÔ²»·ÉÏ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÌî¿ÕÌâ

3£®ÔÚÑо¿ÔȱäËÙÖ±ÏßÔ˶¯ÊµÑéÖУ¬Ä³Í¬Ñ§Í¨¹ý´òµã¼ÆʱÆ÷ÔÚÖ½´øÉÏÁ¬Ðø´òÏÂһЩµã£¬È¡Ê±¼ä¼ä¸ô¾ùΪ0.1sµÄ¼¸¸öµã£®²âÁ¿ºóµÄ½á¹ûÈçͼËùʾ£¬ÔòÖ½´ø±»À­¶¯µÄ¼ÓËÙ¶Èa=2.0m/s2£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÊµÑéÌâ

10£®ÔÚ¡°×ÔÓÉÂäÌå·¨ÑéÖ¤»úеÄÜÊغ㶨ÂÉ¡±µÄʵÑéÖУ¬´òµã¼ÆʱÆ÷½ÓÔÚ6V¡¢50HzµÄ½»Á÷µçÔ´ÉÏ£¬×ÔÓÉÏÂÂäµÄÖØÎïÖÊÁ¿Îª1Kg£¬Ò»ÌõÀíÏëµÄÖ½´øÊý¾ÝÈçͼËùʾ£¬µ¥Î»ÊÇcm£¬gÈ¡9.8m/s2£¬O¡¢AÖ®¼äÓм¸¸ö¼ÆÊýµãû»­³ö£®
£¨1£©´òµã¼ÆʱÆ÷´òϼÆÊýµãBʱ£¬ÎïÌåµÄËÙ¶ÈvBΪ0.98m/s
£¨2£©´ÓÆðµãOµ½´òϼÆÊýµãBµÄ¹ý³ÌÖÐÖØÁ¦ÊÆÄܵļõÉÙÁ¿ÊÇ¡÷EP=0.491J£¬¶¯ÄܵÄÔö¼ÓÁ¿¡÷EK=0.480J£¨½á¹û±£Áô3λÓÐЧÊý×Ö£©
£¨3£©Í¨¹ý¼ÆË㣬ÊýÖµÉÏ¡÷EP£¾¡÷EK£¨Ìî¡°£¾¡±¡¢¡°£¼¡±»ò¡°=¡±£©£¬ÕâÊÇÒòΪʵÑéÖÐÓÐĦ²ÁºÍ¿ÕÆø×èÁ¦£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

3£®ÓÃÈçͼËùʾµÄʵÑé×°ÖÃÑо¿Æ½Å×Ô˶¯£®Ä³Í¬Ñ§°´ÈçϵIJÙ×÷µÃµ½ÁËÒ»×éÊý¾Ý£º
¢Ù½«Åöײ´«¸ÐÆ÷ˮƽ·ÅÖã¬ÔÚ¹ìµÀ¶à¸öλÖþ²Ö¹ÊÍ·ÅСÇò£®
¢Ú½«Åöײ´«¸ÐÆ÷ÊúÖ±·ÅÖÃÔÚÀëÅ׳öµãÒ»¶¨¾àÀë´¦£¨Í¼ÖÐÐéÏßλÖã©£¬ÔÚ¹ìµÀ¶à¸öλÖþ²Ö¹ÊÍ·ÅСÇò£¬Ð¡Çò¶¼»÷ÖÐÅöײ´«¸ÐÆ÷£®
123456
³õËÙ¶Èv0£¨m/s£©1.0241.2011.1761.1530.9421.060
·ÉÐÐʱ¼ät£¨s£©0.2460.2490.2480.1730.2120.189
£¨1£©±¾ÊµÑé³ýÁËÅöײ´«¸ÐÆ÷Í⣬»¹ÐèÓõ½µÄ´«¸ÐÆ÷ÊǹâµçÃÅ£®
£¨2£©¸ù¾Ý±í¸ñ¿ÉÖª£¬Åöײ´«¸ÐÆ÷ˮƽ·ÅÖÃʱ£¬¾àÀëСÇòÅ׳öµãµÄ¸ß¶ÈÔ¼0.3m£»Åöײ´«¸ÐÆ÷ÊúÖ±·ÅÖÃʱ£¬¾àÀëСÇòÅ׳öµãµÄˮƽ¾àÀëÔ¼0.2m£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÊµÑéÌâ

4£®Ä³Ì½¾¿ÊµÑéС×éµÄͬѧΪÁËÑо¿Æ½Å×ÎïÌåµÄÔ˶¯£¬¸ÃС×éͬѧÀûÓÃÈçͼËùʾµÄʵÑé×°ÖÃ̽¾¿Æ½Å×Ô˶¯£®
£¨1£©Ê×ÏȲÉÓÃÈçͼ¼×ËùʾµÄ×°Öã®ÓÃС´¸»÷´òµ¯ÐÔ½ðÊôƬ£¬Ê¹AÇòÑØˮƽ·½Ïòµ¯³ö£¬Í¬Ê±BÇò±»ËÉ¿ª£¬×ÔÓÉÏÂÂ䣬½«¹Û²ìµ½Á½Çòͬʱ£¨Ñ¡Ìͬʱ¡±»ò¡°²»Í¬Ê±¡±£©ÂäµØ£¬¸Ä±äС´¸»÷´òµÄÁ¦¶È£¬¼´¸Ä±äAÇò±»µ¯³öʱµÄËٶȣ¬ÈÔÄܹ۲쵽ÏàͬµÄÏÖÏó£¬Õâ˵Ã÷A£®£¨Ñ¡ÌîËùÊöÑ¡ÏîÇ°µÄ×Öĸ£©
A£®Æ½Å×Ô˶¯µÄÎïÌåÔÚÊúÖ±·½ÏòÉÏ×ö×ÔÓÉÂäÌåÔ˶¯
B£®Æ½Å×Ô˶¯µÄÎïÌåÔÚˮƽ·½ÏòÉÏ×öÔÈËÙÖ±ÏßÔ˶¯
C£®ÄÜͬʱ˵Ã÷ÉÏÊöÑ¡ÏîA¡¢BËùÊöµÄ¹æÂÉ
£¨2£©È»ºó²ÉÓÃÈçͼÒÒËùʾµÄ×°Öã®Á½¸öÏàͬµÄ»¡ÐιìµÀM¡¢N£¬·Ö±ðÓÃÓÚ·¢ÉäСÌúÇòP¡¢Q£¬ÆäÖÐNµÄÄ©¶Ë¿É¿´×÷Óë¹â»¬µÄˮƽ°åÏàÇУ¬Á½¹ìµÀÉ϶˷ֱð×°Óеç´ÅÌúC¡¢D£»µ÷½Úµç´ÅÌúC¡¢DµÄ¸ß¶ÈʹAC=BD£¬´Ó¶ø±£Ö¤Ð¡ÌúÇòP¡¢QÔÚ¹ìµÀ³ö¿Ú´¦µÄˮƽ³õËÙ¶Èv0ÏàµÈ£®ÏÖ½«Ð¡ÌúÇòP¡¢Q·Ö±ðÎüÔÚµç´ÅÌúC¡¢DÉÏ£¬È»ºóÇжϵçÔ´£¬Ê¹Á½Ð¡ÇòͬʱÒÔÏàͬµÄ³õËÙ¶Èv0·Ö±ð´Ó¹ìµÀM¡¢NµÄÄ©¶ËÉä³ö£®ÊµÑé¿É¹Û²ìµ½µÄÏÖÏóÓ¦ÊÇPÇò½«ÄÜ»÷ÖÐQÇò£¨Ñ¡Ìî¡°ÄÜ¡±»ò¡°²»ÄÜ¡±£©£®½ö½ö¸Ä±ä»¡ÐιìµÀMµÄ¸ß¶È£¬Öظ´ÉÏÊöʵÑ飬ÈÔÄܹ۲쵽ÏàͬµÄÏÖÏó£¬Õâ˵Ã÷B£®£¨Ñ¡ÌîËùÊöÑ¡ÏîÇ°µÄ×Öĸ£©
A£®Æ½Å×Ô˶¯µÄÎïÌåÔÚÊúÖ±·½ÏòÉÏ×ö×ÔÓÉÂäÌåÔ˶¯
B£®Æ½Å×Ô˶¯µÄÎïÌåÔÚˮƽ·½ÏòÉÏ×öÔÈËÙÖ±ÏßÔ˶¯
C£®²»ÄÜ˵Ã÷ÉÏÊöÑ¡ÏîA¡¢BËùÃèÊö¹æÂÉÖеÄÈκÎÒ»Ìõ£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸