ÌâÄ¿ÄÚÈÝ
15£®ÔÚÈçͼËùʾµÄÊúֱƽÃæÖ±½Ç×ø±êϵxOyÖУ¬ÐéÏßOMÓëxÖá³É45¡ã½Ç£®ÔÚOMÓëxÖáÖ®¼ä£¨°üÀ¨xÖᣩµÄÇøÓò´æÔÚ´¹Ö±ÓÚ×ø±êƽÃæÏòÀï¡¢´Å¸ÐӦǿ¶È´óСΪBµÄÔÈÇ¿´Å³¡£®ÔÚOMÓëyÖáÖ®¼ä£¨°üÀ¨yÖᣩµÄÇøÓò£¬´æÔÚÑØyÖḺ·½ÏòµÄÔÈÇ¿µç³¡£¨µ«µç³¡Ç¿¶È´óСδ֪£©£®ÓÐÒ»¸öÖÊÁ¿Îªm¡¢µçºÉÁ¿ÎªqµÄ´øÕýµçµÄÁ£×Ó£¬ÒÔËÙ¶ÈvÑØxÖáÕý·½Ïò´Ó×ø±êÔµãOÉäÈë´Å³¡ÇøÓò²¢·¢Éúƫת£¬²»¼Æ´øµçÁ£×ÓµÄÖØÁ¦ºÍ¿ÕÆø×èÁ¦£¬Á£×ÓµÚ¶þ´Î½øÈëµç³¡ºóÇ¡ºÃÔ˶¯µ½Oµã²¢´Ó´ËÀ뿪µç³¡ºÍ´Å³¡£®Ç󣺣¨1£©´øµçÁ£×ÓµÚÒ»´ÎÀ뿪´Å³¡µÄλÖõ½OµãµÄ¾àÀ룮
£¨2£©Á£×Ó´Ó×î³õÓÉOµã½øÈë´Å³¡µ½Ç¡ºÃ¾¹ýOµã²¢À뿪µç³¡ºÍ´Å³¡µÄ×Üʱ¼ä£®
·ÖÎö £¨1£©´øµçÁ£×Ó½øÈë´Å³¡ÖУ¬Êܵ½ÂåÂ××ÈÁ¦×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÓÉÅ£¶ÙµÚ¶þ¶¨ÂɺÍÏòÐÄÁ¦¹«Ê½Çó³öÁ£×ӵĹ켣°ë¾¶£¬»³ö¹ì¼££¬Óɼ¸ºÎ֪ʶÇóÁ£×ÓµÚÒ»´ÎÀ뿪´Å³¡µÄλÖõ½OµãµÄ¾àÀ룻
£¨2£©·ÖÎöÇå³þÁ£×ÓÔ˶¯¹ý³Ì£¬Çó³öÁ£×ÓÔڵ糡Óë´Å³¡ÖеÄÔ˶¯Ê±¼ä£¬È»ºóÇó³ö×ܵÄÔ˶¯Ê±¼ä£®
½â´ð ½â£º£¨1£©´øµçÁ£×ÓÔڴų¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÉèÁ£×Ó×öÔ²ÖÜÔ˶¯µÄ°ë¾¶Îªr£¬
¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂÉÓУºqvB=m$\frac{{v}^{2}}{r}$£¬
½âµÃ£ºr=$\frac{mv}{qB}$£¬
Éè´øµçÁ£×ÓµÚÒ»´ÎÀ뿪´Å³¡µÄλÖÃΪNµã£¬ÈçͼËùʾ£º
Óɼ¸ºÎ֪ʶ¿ÉÖª£¬´øµçÁ£×ÓµÚÒ»´ÎÀ뿪´Å³¡Ê±Ëٶȷ½ÏòÑØyÖáÕý·½Ïò£¬
¸ÃλÖÃNµ½OµãµÄ¾àÀëΪ£ºNO=$\sqrt{2}$r=$\frac{\sqrt{2}mv}{qB}$£»
£¨2£©ÉèÁ£×ÓÔڴų¡ÖÐÔ˶¯µÄÖÜÆÚ£ºT$\frac{2¦Ðm}{qB}$£¬Ôò£ºv=$\frac{2¦Ðr}{T}$£¬
Á£×ÓµÚÒ»´ÎÔڴų¡ÖÐÔ˶¯µÄʱ¼ät1Ç¡ºÃΪ$\frac{1}{4}$ÖÜÆÚ£¬t1=$\frac{1}{4}$T=$\frac{¦Ðm}{2qB}$£¬
Á£×ÓµÚÒ»´ÎÀ뿪´Å³¡ºóÇ¡ºÃÑØyÖáÕý·½ÏòµÚÒ»´Î½øÈëµç³¡£¬ÇÒÔڵ糡ÖÐÏÈÑØyÖáÕý·½Ïò×öÔȼõËÙÖ±ÏßÔ˶¯£¬
ÔÙÑØyÖḺ·½Ïò´Ó¾²Ö¹×öÔȼÓËÙÖ±ÏßÔ˶¯²¢¾¹ýOMÔٴνøÈë´Å³¡£¬Á£×ÓµÚÒ»´ÎÔڵ糡ÖÐÔ˶¯µÄÁ½¹ý³Ì¶Ô³Æ£¬
ÉèÁ£×ÓÔڵ糡ÖÐÔ˶¯µÄ¼ÓËٶȴóСΪa£¬ÔòÁ£×ÓÀ´»ØÒ»´ÎµÄʱ¼äΪ£ºt2=$\frac{2v}{a}$£¬
Á£×ÓµÚ¶þ´Î½øÈë´Å³¡ºóÔÙÒÔËÙ¶Èv×öÔÈËÙÔ²ÖÜÔ˶¯£¬Ëù¾¹ýµÄʱ¼äΪ£ºt3=$\frac{3}{4}$T=$\frac{3¦Ðm}{2qB}$£¬
Á£×ÓµÚ¶þ´ÎÀ뿪´Å³¡ºóÇ¡ºÃÑØxÖḺ·½ÏòµÚ¶þ´Î½øÈëµç³¡²¢×öÀàƽÅ×Ô˶¯£¬
Á£×ÓµÚ¶þ´ÎÔڵ糡ÖÐÔ˶¯ºóÇ¡ºÃ½ø¹ýOµã£®ÉèÁ£×ÓµÚ¶þ´ÎÔڵ糡ÖÐÔ˶¯µÄʱ¼äΪt4£¬
Ôò£º2r=vt4£¬2r=$\frac{1}{2}$at42£¬
½âµÃ£ºt2=$\frac{2m}{qB}$£¬t4=$\frac{2m}{qB}$£¬
×ÛºÏÒÔÉϽá¹û£¬¿ÉµÃÁ£×Ó´Ó×î³õÓÉOµã½øÈë´Å³¡µ½Ç¡ºÃ¾¹ýOµãÀ뿪µç³¡ºÍ´Å³¡µÄ×Üʱ¼äΪ£ºt=t1+t2+t3+t4=$\frac{2£¨2+¦Ð£©m}{qB}$£»
´ð£º£¨1£©´øµçÁ£×ÓµÚÒ»´ÎÀ뿪´Å³¡µÄλÖõ½OµãµÄ¾àÀëΪ$\frac{\sqrt{2}mv}{qB}$£®
£¨2£©Á£×Ó´Ó×î³õÓÉOµã½øÈë´Å³¡µ½Ç¡ºÃ¾¹ýOµã²¢À뿪µç³¡ºÍ´Å³¡µÄ×Üʱ¼äΪ$\frac{2£¨2+¦Ð£©m}{qB}$£®
µãÆÀ ±¾ÌâÊÇ´øµçÁ£×ÓÔÚ×éºÏ³¡ÖÐÔ˶¯µÄÎÊÌ⣬·ÖÎöÇå³þÁ£×ÓÔ˶¯¹ý³Ì¡¢»³öÁ£×ÓÔ˶¯¹ì¼£ÊǽâÌâµÄ¹Ø¼ü£»Ó¦ÓÃÅ£¶ÙµÚ¶þ¶¨ÂÉ¡¢Ô˶¯Ñ§¹«Ê½¿ÉÒÔ½âÌ⣬½âÌâʱעÒ⼸ºÎ֪ʶµÄÓ¦Óã®
A£® | ÄÚµçѹ | B£® | µç¶¯ÊÆ | C£® | Íâµçѹ | D£® | ÎÞ·¨ÅÐ¶Ï |
A£® | Á½¸öÁ£×Ó¾ù´ø¸ºµç | |
B£® | ¼×Á£×ÓÔÚA´¦µÄ¼ÓËٶȱÈÒÒÁ£×ÓÔÚB´¦µÄ¼ÓËٶȴó | |
C£® | ¼×Á£×ÓÔÚOµãµÄ¶¯ÄÜ´óÓÚÒÒÁ£×ÓÔÚOµãµÄ¶¯ÄÜ | |
D£® | ¼×Á£×Ó´ÓAµãµ½Oµã¾ÀúµÄʱ¼ä±ÈÒÒÁ£×Ó´ÓBµãµ½OµãµÄʱ¼ä¶Ì |
A£® | ÔÚ²»ÐèÒª¿¼ÂÇÎïÌå±¾ÉíµÄ´óСºÍÐÎ״ʱ£¬ÓÃÖʵãÀ´´úÌæÎïÌåµÄ·½·¨½ÐµÈЧÌæ´ú·¨ | |
B£® | ¸ù¾ÝËٶȶ¨Òåʽv=$\frac{¡÷x}{¡÷t}$£¬µ±¡÷t·Ç³£·Ç³£Ð¡Ê±£¬$\frac{¡÷x}{¡÷t}$¾Í¿ÉÒÔ±íʾÎïÌåÔÚtʱ¿ÌµÄ˲ʱËٶȣ¬¸Ã¶¨ÒåÓ¦ÓÃÁ˼«ÏÞ˼Ïë·¨ | |
C£® | ÔÚÑо¿×ÀÃæ΢СÐαäµÄ×°ÖÃÖÐÓõ½ÁË·Å´óµÄ˼Ïë | |
D£® | ÔÚÍƵ¼ÔȱäËÙλÒƹ«Ê½Ê±£¬°ÑÕû¸öÔ˶¯¹ý³Ì»®·Ö³ÉºÜ¶àС¶Î£¬Ã¿Ò»Ð¡¶Î½üËÆ¿´×÷ÔÈËÙ |
A£® | ŷķͨ¹ý´óÁ¿ÊµÑéÑо¿·¢ÏÖµ¼ÌåÖеĵçÁ÷¸úµ¼ÌåÁ½¶ËµÄµçѹ³ÉÕý±È£¬¸úµ¼ÌåµÄµç×è³É·´±È | |
B£® | µçÁ÷ͨ¹ýµ¼Ìå²úÉúµÄÈÈÁ¿¸úµçÁ÷¡¢µç×èºÍͨµçʱ¼äµÄ¹Øϵ×î³õÊÇÓɽ¹¶úͨ¹ýʵÑéµÃµ½µÄ | |
C£® | °Â˹ÌØ·¢ÏÖµçÁ÷ÄÜʹС´ÅÕë·¢Éúƫת£¬µÚÒ»¸öÐû²¼Á˵çÁ÷µÄ´ÅЧӦ | |
D£® | °²ÅàÔÚÑо¿´Å³¡ÓëµçÁ÷¡¢Ô˶¯µçºÉµÄÏ໥×÷Ó÷½Ãæ×ö³öÁ˽ܳö¹±Ï×£¬²¢Ìá³öÁËÖøÃûµÄ°²ÅàÁ¦¹«Ê½ºÍÂåÂ××ÈÁ¦¹«Ê½ |
A£® | ´øµÈÁ¿ÒìºÅµçºÉµÄÁ½¸öµ¼Ìå½Ó´¥ºó£¬µçºÉ¾Í»áÓÉÓÚ»¥ÏàÖкͶøÏûʧ | |
B£® | Ò»¸öÎïÌå´ø1.6¡Á10-9CµÄ¸ºµçºÉ£¬ÕâÊÇËüʧȥÁË1.0¡Á1010¸öµç×ÓµÄÔµ¹Ê | |
C£® | ÔªµçºÉÊDZíʾ¸úµç×ÓËù´øµçºÉÁ¿ÊýÖµÏàµÈµÄµçºÉÁ¿ | |
D£® | Ìå»ýºÜ´óµÄ´øµçÌå²»ÄÜ¿´³ÉµçºÉ |