1£®Èçͼ1Ëùʾ£¬ÔÚƽÐб߽çMN¡¢PQÖ®¼ä´æÔÚ¿í¶ÈΪLµÄÔÈÇ¿µç³¡£¬µç³¡ÖÜÆÚÐԱ仯µÄ¹æÂÉÈçͼ2Ëùʾ£¬È¡ÊúÖ±ÏòÏÂΪµç³¡Õý·½Ïò£»ÔÚƽÐб߽çMN¡¢EFÖ®¼ä´æÔÚ¿í¶ÈΪS¡¢·½Ïò´¹Ö±Ö½ÃæÏòÀïµÄÔÈÇ¿´Å³¡¢ò£¬ÔÚPQÓÒ²àÓпí¶È×ã¹»´óµÄ·½Ïò´¹Ö±Ö½ÃæÏòÀïµÄÔÈÇ¿´Å³¡¢ñ£®Ôڴų¡¢ñÖоàPQ¾àÀëΪLµÄAµã£¬ÓÐÒ»ÖÊÁ¿Îªm¡¢µçºÉÁ¿Îª+q¡¢ÖØÁ¦²»¼ÆµÄÁ£×ÓÒÔ³õËÙ¶Èv0ÑØÊúÖ±ÏòÉÏ·½Ïò¿ªÊ¼Ô˶¯£¬ÒÔ´Ë×÷Ϊ¼ÆʱÆðµã£¬ÔÙ¾­¹ýÒ»¶Îʱ¼äÁ£×ÓÓÖÇ¡ºÃ»Øµ½Aµã£¬Èç´ËÑ­»·£¬Á£×ÓÑ­»·Ô˶¯Ò»ÖÜ£¬µç³¡Ç¡ºÃ±ä»¯Ò»¸öÖÜÆÚ£¬ÒÑÖªÁ£×ÓÀ뿪 IÇøÓò½øÈëµç³¡Ê±£¬ËÙ¶ÈÇ¡ºÃÓëµç³¡·½Ïò´¹Ö±£¬cos37¡ã=0.8£¬sin37¡ã=0.6£¬Çó£º

£¨1£©¢ñÇøÓòµÄ´Å³¡µÄ´Å¸ÐӦǿ¶ÈB1£»
£¨2£©ÈôE0=$\frac{4m{{v}_{0}}^{2}}{3qL}$£¬ÒªÊµÏÖÉÏÊöÑ­»·£¬È·¶¨¢òÇøÓòµÄ´Å³¡¿í¶ÈSµÄ×îСֵÒÔ¼°´Å³¡µÄ´Å¸ÐӦǿ¶ÈB2£»
£¨3£©ÈôE0=$\frac{4m{{v}_{0}}^{2}}{3qL}$£¬ÒªÊµÏÖÉÏÊöÑ­»·£¬µç³¡µÄ±ä»¯ÖÜÆÚT£®

·ÖÎö £¨1£©»­³öÁ£×ÓµÄÔ˶¯¹ì¼££¬¸ù¾Ý¼¸ºÎ¹ØϵÇó³öÁ£×ÓÔÚ¢ñÇøÓò×öÔÈËÙÔ²ÖÜÔ˶¯µÄ°ë¾¶£¬ÔÙ¸ù¾ÝÂåÂ××ÈÁ¦ÌṩÏòÐÄÁ¦ÁÐʽÇó½â£»
£¨2£©Á£×ÓÔڵ糡ÖÐ×öÀàƽÅ×Ô˶¯£¬Ë®Æ½·½Ïò×öÔÈËÙÖ±ÏßÔ˶¯£¬ÊúÆð·½Ïò×öÔȼÓËÙÖ±ÏßÔ˶¯£¬·Ö±ð¶ÔÁ½¸ö·½ÏòÔËÓÃλÒÆʱ¼ä¹«Ê½ÁÐʽ£¬ÓÉͼÖм¸ºÎ¹ØϵÇó³öÁ£×ÓÔÚ¢òÇøÓò×öÔÈËÙÔ²ÖÜÔ˶¯µÄ°ë¾¶£¬´Ó¶øÇó³öҪʵÏÖÌâÊöÑ­»·£¬¢òÇøÓòµÄ´Å³¡¿í¶ÈsÓ¦Âú×ãµÄÌõ¼þ¼°´Å³¡µÄ´Å¸ÐӦǿ¶È${B}_{2}^{\;}$£»
£¨3£©·Ö¶ÎÇó³öÁ£×ÓÔڴų¡ºÍµç³¡ÖÐÔ˶¯µÄʱ¼ä£¬ÔÙÇó½â×Üʱ¼ä¼´¿É£®

½â´ð ½â£º£¨1£©Á£×ÓÔÚ¢ñÇøÔÈËÙÔ²ÖÜÔ˶¯µÄ°ë¾¶ÎªR=L£¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂÉÓÐ$q{v}_{0}^{\;}B=m\frac{{v}_{0}^{2}}{R}$
½âµÃ£º$R=\frac{m{v}_{0}^{\;}}{q{B}_{1}^{\;}}$
ÁªÁ¢½âµÃ£º${B}_{1}^{\;}=\frac{m{v}_{0}^{\;}}{qL}$
£¨2£©Á£×ÓÔڵ糡ÖÐ×öÀàƽÅ×Ô˶¯£¬ÉèÀ뿪µç³¡Ê±Ñص糡·½ÏòµÄËÙ¶ÈΪ${v}_{y}^{\;}$£º
${v}_{y}^{\;}=at=\frac{q{E}_{0}^{\;}}{m}¡Á\frac{L}{{v}_{0}^{\;}}=\frac{4{v}_{0}^{\;}}{3}$
À뿪µç³¡Ê±ËÙ¶ÈÓëˮƽ·½ÏòµÄ¼Ð½ÇΪ¦È£¬ÔòÓÐ
$tan¦È=\frac{{v}_{y}^{\;}}{{v}_{0}^{\;}}=\frac{4}{3}$£¬µÃ¦È=53¡ã
Á£×ÓÀ뿪µç³¡Ê±µÄËÙ¶ÈΪ$v=\frac{{v}_{0}^{\;}}{cos53¡ã}=\frac{5{v}_{0}^{\;}}{3}$
»­³öÁ£×ÓÔ˶¯¹ì¼£µÄʾÒâͼÈçͼËùʾ£¬

Á£×ÓÔÚ¢òÇøÓò×öÔÈËÙÔ²ÖÜÔ˶¯µÄÔ²ÐÄΪ${O}_{2}^{\;}$ÓëÔÚ¢ñÇøÓò×öÔÈËÙÔ²ÖÜÔ˶¯µÄÔ²ÐÄ${O}_{1}^{\;}$µÄÁ¬Ïß±ØÐëÓë±ß½ç´¹Ö±²ÅÄÜÍê³ÉÉÏÊöÔ˶¯£¬Óɼ¸ºÎ¹Øϵ֪Á£×ÓÔÚ¢òÇøÓò×öÔÈËÙÔ²ÖÜÔ˶¯µÄ°ë¾¶Îª
$R¡ä=\frac{L-\frac{2L}{3}}{cos53¡ã}=\frac{5}{9}L$
ËùÒÔ$s¡ÝR¡ä£¨1-sin53¡ã£©=\frac{1}{9}L$
$R¡ä=\frac{mv}{q{B}_{2}^{\;}}$
½âµÃ${B}_{2}^{\;}=\frac{3m{v}_{0}^{\;}}{qL}$
£¨3£©µç³¡±ä»¯µÄÖÜÆÚµÈÓÚÁ£×ÓÔ˶¯µÄÖÜÆÚ
Á£×ÓÔÚ¢ñÇøÓòÔ˶¯µÄʱ¼äΪ${t}_{1}^{\;}=\frac{{T}_{1}^{\;}}{2}=\frac{¦Ðm}{q{B}_{1}^{\;}}=\frac{¦ÐL}{{v}_{0}^{\;}}$
Á£×ÓÔڵ糡ÖÐÔ˶¯µÄʱ¼äΪ£º${t}_{2}^{\;}=\frac{2L}{{v}_{0}^{\;}}$
Á£×ÓÔÚ¢òÇøÓò×öÔ²ÖÜÔ˶¯µÄʱ¼äΪ£º${t}_{3}^{\;}=\frac{37}{180}¡Á\frac{2¦Ðr}{v}=\frac{37¦ÐL}{270{v}_{0}^{\;}}$
ËùÒÔÖÜÆÚΪ£º$T={t}_{1}^{\;}+{t}_{2}^{\;}+{t}_{3}^{\;}=\frac{307¦Ð+540}{270{v}_{0}^{\;}}L$
´ð£º£¨1£©¢ñÇøÓòµÄ´Å³¡µÄ´Å¸ÐӦǿ¶È${B}_{1}^{\;}$Ϊ$\frac{m{v}_{0}^{\;}}{qL}$£»
£¨2£©ÈôE0=$\frac{4m{{v}_{0}}^{2}}{3qL}$£¬ÒªÊµÏÖÉÏÊöÑ­»·£¬È·¶¨¢òÇøÓòµÄ´Å³¡¿í¶ÈSµÄ×îСֵ$\frac{1}{9}L$ÒÔ¼°´Å³¡µÄ´Å¸ÐӦǿ¶È${B}_{2}^{\;}$Ϊ$\frac{3m{v}_{0}^{\;}}{qL}$£»
£¨3£©ÈôE0=$\frac{4m{{v}_{0}}^{2}}{3qL}$£¬ÒªÊµÏÖÉÏÊöÑ­»·£¬µç³¡µÄ±ä»¯ÖÜÆÚTΪ$\frac{307¦Ð+540}{270{v}_{0}^{\;}}L$£®

µãÆÀ ±¾Ì⿼²éÁËÁ£×ÓÔڵ糡ÖеÄÀàƽÅ×Ô˶¯ºÍÔڴų¡ÖеÄÔÈËÙÔ²ÖÜÔ˶¯£¬¹Ø¼üÊÇ»­³öÔ˶¯¹ì¼££¬Ñ¡ÔñºÏÊʵĹæÂɽâÌ⣮

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

10£®Ò»ÖÊÁ¿m=0.5kgµÄ»¬¿éÒÔÒ»¶¨µÄ³õËٶȳåÉÏÒ»Çã½ÇΪ37¡ã×ã¹»³¤µÄбÃ棬ijͬѧÀûÓÃDISʵÑéϵͳ²â³öÁË»¬¿é³åÉÏбÃæ¹ý³ÌÖжà¸öʱ¿ÌµÄ˲ʱËٶȣ¬ÈçͼËùʾΪͨ¹ý¼ÆËã»ú»æÖƳöµÄ»¬¿éÉÏ»¬¹ý³ÌµÄv-tͼÏó£¨sin37¡ã=0.6£¬cos37¡ã=0.8£¬gÈ¡10m/s2£©£®Çó£º
£¨1£©»¬¿é³åÉÏбÃæ¹ý³ÌÖмÓËٶȵĴóС£»
£¨2£©»¬¿éÓëбÃæ¼äµÄ¶¯Ä¦²ÁÒòÊý£»
£¨3£©»¬¿éÔÚбÃæÉÏ»¬ÐеÄ×î´óλÒÆ£»
£¨4£©»¬¿éÄÜ·ñ·µ»Øµ½³ö·¢µã£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¼ÆËãÌâ

11£®Ä³Í¬Ñ§Éè¼ÆÁËÈçÏÂÒ»¸öÓá°ÓÍĤ·¨²â·Ö×Ó´óС¡±µÄʵÑ飮ËûÅäÖƵÄÓÍËá¾Æ¾«ÈÜÒºµÄŨ¶ÈΪ103 mLÈÜÒºÖÐÓд¿ÓÍËá1mL£¬ÓÃ×¢ÉäÆ÷Á¿µÃ1mLÉÏÊöÓÍËá¾Æ¾«ÈÜÒºÖÐÓÐÒºµÎ50µÎ£¬½«ÆäÖеÄ1µÎµÎÈëË®ÃæÈöÓÐðò×Ó·ÛµÄdzÅÌÀ´ýÎȶ¨ºó£¬ÐγÉÁËÇåÎúµÄÓÍĤÂÖÀª£®ËûÈ»ºó½«Ò»Óлú²£Á§°å·ÅÔÚdzÅÌÉÏ£¬²¢ÔÚ²£Á§°åÉÏÃèÏÂÁËÓÍĤµÄÐÎ×´£®µ«ËûûÓÐ×ø±êÖ½£¬¾ÍÏÈÓÃÓα꿨³ß²âÁ¿Á˸ò£Á§°åµÄºñ¶ÈÈç¼×ͼËùʾ£¬È»ºóÓüôµ¶¼ô³öÁËÃæ»ýÁ¿µÈÓÚÓÍĤÐÎ×´µÄÓлú²£Á§°å£¬ÈçÒÒͼËùʾ£¬²¢ÓÃÌìƽ³Æ³öÁËÆäÖÊÁ¿Îª0.3kg£¬ÒÑÖª¸ÃÓлú²£Á§°åµÄÃܶÈΪ¦Ñ=3¡Á103 kg/m3£¬Çë¸ù¾ÝÒÔÉÏÊý¾Ý¹À²â£º

£¨1£©ÓÍËáĤµÄʵ¼ÊÃæ»ý£»
£¨2£©ÓÍËá·Ö×ÓµÄÖ±¾¶£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ

8£®ÒÑÖªº¤Àë×Ó£¨He+£©µÄÄܼ¶Í¼ÈçͼËùʾ£¬¸ù¾ÝÄܼ¶Ô¾Ç¨ÀíÂÛ¿ÉÖª£¨¡¡¡¡£©
A£®º¤Àë×Ó£¨He+£©´Ón=4Äܼ¶Ô¾Ç¨µ½n=3Äܼ¶±È´Ón=3Äܼ¶Ô¾Ç¨µ½n=2Äܼ¶·øÉä³ö¹â×ÓµÄƵÂʵÍ
B£®´óÁ¿´¦ÔÚn=3Äܼ¶µÄº¤Àë×Ó£¨He+£©ÏòµÍÄܼ¶Ô¾Ç¨£¬Ö»ÄÜ·¢³ö2ÖÖ²»Í¬ÆµÂʵĹâ×Ó
C£®º¤Àë×Ó£¨He+£©´¦ÓÚn=1Äܼ¶Ê±£¬ÄÜÎüÊÕ45eVµÄÄÜÁ¿ºóԾǨµ½n=2Äܼ¶£¬¶àÓàµÄÄÜÁ¿ÒÔ¹â×ÓÐÎʽ·Å³ö
D£®º¤Àë×Ó£¨He+£©´Ón=4Äܼ¶Ô¾Ç¨µ½n=3Äܼ¶Ê±·øÉä³öµÄ¹â×ÓÄÜʹÒݳö¹¦Îª2.55eVµÄ½ðÊô·¢Éú¹âµçЧӦ
E£®º¤Àë×Ó£¨He+£©´¦ÓÚn=1Äܼ¶Ê±£¬ÄÜÎüÊÕ55eVµÄÄÜÁ¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÌî¿ÕÌâ

15£®½«Á½¸ùÍêÈ«ÏàͬµÄ´ÅÌú·Ö±ð¹Ì¶¨ÔÚÖÊÁ¿ÏàµÈµÄС³µÉÏ£¬Ð¡³µÖÃÓڹ⻬µÄˮƽÃæÉÏ£®³õʼʱ¿Ì£¬¼×³µËٶȴóСv¼×=3m/s£¬·½ÏòˮƽÏòÓÒ£»ÒÒ³µËٶȴóСvÒÒ=2m/s£¬·½ÏòˮƽÏò×ó£¬v¼×¡¢vÒÒÔÚͬһÌõÖ±ÏßÉÏ£®µ±ÒÒ³µµÄËٶȼõСΪÁãʱ£¬¼×³µµÄËٶȴóСΪ1m/s£¬·½ÏòÏòÓÒ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

6£®¹ØÓÚ¹¦ºÍÄÜ£¬ÏÂÁÐ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®¹¦²»½öÓдóС£¬¶øÇÒÓз½Ïò
B£®×öÔÈËÙÔ²ÖÜÔ˶¯ÎïÌåµÄÏòÐÄÁ¦²»×ö¹¦
C£®ÈκÎÇé¿öÏ£¬¹¦¶¼µÈÓÚÁ¦ºÍλÒƵij˻ý
D£®ÖØÁ¦ÊÆÄÜÊDZêÁ¿£¬²»¿ÉÄÜÓиºÖµ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

13£®ÈçͼËùʾ£¬´øÕýµçµÄ²»¼ÆÖØÁ¦µÄÁ£×Ó£¬ÑØˮƽÏòÓҵķ½Ïò´¹Ö±½øÈë´Å³¡£¬¹ØÓÚÆäÔ˶¯Çé¿ö£¬ÏÂÁÐ˵·¨ÖÐÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÈçͼÖй켣1ËùʾB£®ÈçͼÖй켣2Ëùʾ
C£®ÈçͼÖй켣3ËùʾD£®´¹Ö±Ö½ÃæÏòÀïÔ˶¯

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

10£®ÈËÔìµØÇòÎÀÐÇÔÚÔËÐÐÖУ¬»ð¼ýÑØÏßËٶȷ´ÏòÅç»ð£¬Åç»ðºóÔÚеĹìµÀÉÏÈÔÄÜ×öÔÈËÙÔ²ÖÜÔ˶¯£¬Ôò£¨¡¡¡¡£©
A£®a¼õС£¬TÔö´ó£¬r¼õСB£®a¼õС£¬T¼õС£¬r¼õС
C£®a¼õС£¬TÔö´ó£¬rÔö´óD£®aÔö´ó£¬T¼õС£¬rÔö´ó

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¼ÆËãÌâ

11£®ÈçͼËùʾ£¬°ë¾¶ÎªR£¬ÄÚ¾¶ºÜСµÄ¹â»¬°ëÔ²¹ÜÊúÖ±·ÅÖã¬Á½¸öÖÊÁ¿¾ùΪmµÄСÇòA¡¢BÒÔ²»Í¬ËÙÂʽøÈë¹ÜÄÚ£®ÒÑÖª½öÔÚ¹ÜÄÚÇøÓò´æÔÚÒ»ÖÖ³¡£¬¸Ã³¡Ê¹µÃ¶Ô´¦ÓÚ³¡ÄÚµÄÎïÌåÊܵ½Ò»¸öÊúÖ±ÏòϵĺãÁ¦×÷Óã¬ÇÒºãÁ¦´óСΪF=3mg£®
£¨1£©ÈôAÇòͨ¹ý×î¸ßµãCʱ¶Ô¹Ü±Ú¸ÕºÃûÓÐѹÁ¦£¬´ËʱAÇòËٶȶà´ó£¿
£¨2£©Aͨ¹ý×î¸ßµãCʱ£¬¶Ô¹Ü±ÚÉϲ¿µÄѹÁ¦Îª5mg£¬Bͨ¹ý×î¸ßµãCʱ£¬¶Ô¹Ü±Úϲ¿µÄѹÁ¦Îª3mg£®ÇóA¡¢BÁ½ÇòÂäµØµã¼äµÄ¾àÀ룮

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸