ÌâÄ¿ÄÚÈÝ
6£®Ä³Í¬Ñ§ÓûÑéÖ¤¡°¶¯Äܶ¨Àí¡±£¬Ê¹ÓÃÈçͼaËùʾµÄ×°Öã¬ÁíÍ⻹ÓУº´òµã¼ÆʱÆ÷¼°ËùÓõÄѧÉúµçÔ´¡¢µ¼Ïß¡¢¸´Ð´Ö½¡¢Ö½´ø¡¢Ð¡Ä¾¿é¡¢Ììƽ¡¢Ï¸É³£®µ±»¬¿éÁ¬½ÓÉÏÖ½´ø£¬ÓÃϸÏßͨ¹ý»¬ÂÖ¹ÒÉÏ¿ÕµÄСɳͰʱ£¬ÊÍ·ÅСͰ£¬»¬¿é´¦ÓÚ¾²Ö¹×´Ì¬£®£¨1£©ÄãÈÏΪ»¹ÐèÒªµÄʵÑéÆ÷²ÄÓп̶ȳߣ®
£¨2£©ÊµÑéʱΪÁ˱£Ö¤»¬¿éÊܵ½µÄºÏÁ¦ÓëɳºÍɳͰµÄ×ÜÖØÁ¦´óС»ù±¾ÏàµÈ£¬³ýÒªµæ¸ßľ°å×ó¶ËƽºâĦ²ÁÁ¦Í⣬ɳºÍɳͰµÄ×ÜÖÊÁ¿Ó¦Âú×ãµÄʵÑéÌõ¼þÊÇɳºÍɳͰµÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚ»¬¿éµÄÖÊÁ¿£®
£¨3£©ÔÚ£¨2£©µÄ»ù´¡ÉÏ£¬Ä³Í¬Ñ§ÓÃÌìƽ³ÆÁ¿»¬¿éµÄÖÊÁ¿M£®ÍùɳͰÖÐ×°ÈëÊÊÁ¿µÄϸɳ£¬ÓÃÌìƽ³Æ³ö´ËʱɳºÍɳͰµÄ×ÜÖÊÁ¿m£®ÈÃɳͰ´ø¶¯»¬¿é¼ÓËÙÔ˶¯£¬Óôòµã¼ÆʱÆ÷´ò³öµÄÖ½´øÈçͼbËùʾ£¬ÔÚÖ½´øÉÏÈ¡1¡¢2Á½µã£¨Ö®¼ä»¹ÓÐ4¸öµãûÓл³ö£©£®ÔòÁ½µã¼äµÄ¾àÀëL=1.86cm£»ÉèÁ½µãµÄËٶȴóС·Ö±ðΪv1¡¢v2£¬Ôòv1=0.15m/s£¨±£Áô2λÓÐЧÊý×Ö£©£®ÉèÖØÁ¦¼ÓËÙ¶ÈΪg£®ÔòʵÑé×îÖÕÒªÑéÖ¤µÄÊýѧ±í´ïʽΪ$mgL=\frac{1}{2}{Mv}_{2}^{2}-\frac{1}{2}{Mv}_{1}^{2}$£¨ÓÃÌâÖеÄ×Öĸ±íʾµÄÎïÀíÁ¿Ð´³ö±í´ïʽ£©£®
·ÖÎö £¨1£©¸ù¾ÝʵÑéÔÀí£¬µÃµ½ÐèÒªÑéÖ¤µÄ±í´ïʽ£¬´Ó¶øÈ·¶¨ÐèÒªµÄÆ÷²Ä£»
£¨2£©ÊµÑéÒª²âÁ¿»¬¿é¶¯ÄܵÄÔö¼ÓÁ¿ºÍºÏÁ¦×öµÄ¹¦£¬ÓÃɳºÍɳͰµÄ×ÜÖØÁ¦±íʾ»¬¿éÊܵ½µÄÀÁ¦£¬¶Ô»¬¿éÊÜÁ¦·ÖÎö£¬Êܵ½ÖØÁ¦¡¢ÀÁ¦¡¢Ö§³ÖÁ¦ºÍĦ²ÁÁ¦£¬ÒªÊ¹ÀÁ¦µÈÓÚºÏÁ¦£¬±ØÐëʹÖØÁ¦µÄÏ»¬·ÖÁ¿µÈÓÚĦ²ÁÁ¦£»Í¬Ê±ÓÃɳºÍɳͰµÄ×ÜÖØÁ¦±íʾ»¬¿éÊܵ½µÄÀÁ¦ÐèÒªÂú×ãɳºÍɳͰµÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚ»¬¿éµÄÖÊÁ¿ÕâÒ»Ìõ¼þ£»
£¨3£©Ï¸ÏßµÄÀÁ¦½üËƵÈÓÚɳºÍɳͰµÄ×ÜÖØÁ¦£¬ÐèÒªÑéÖ¤µÄ·½³ÌÊÇϸÏ߶Ի¬¿é×ö¹¦Ó뻬¿é¶¯ÄܵÄÔö¼ÓµÄ¹Øϵ£¬Ï¸Ï߶Ի¬¿é×ö¹¦µÈÓÚɳºÍɳͰÖØÁ¦ÊÆÄܵļõСÁ¿£¬¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯ÖÐʱ¼äÖеãµÄ˲ʱËٶȵÈÓڸùý³ÌÖеÄƽ¾ùËٶȣ¬ÇóA¡¢BÁ½µãËٶȴóС£¬´Ó¶øÇó³ö»¬¿é¶¯Äܵı仯Á¿£®
½â´ð ½â£º£¨1£©ÊµÑéÒªÑéÖ¤¶¯ÄÜÔö¼ÓÁ¿ºÍ×ܹ¦ÊÇ·ñÏàµÈ£¬¹ÊÐèÒªÇó³ö×ܹ¦ºÍ¶¯ÄÜ£¬»¬¿éµÄÀÁ¦´óСÈÏΪµÈÓÚɳºÍɳͰµÄÖØÁ¦£¬Òò´ËÐèÒªÌìƽ²âÁ¿É³ºÍɳͰµÄÖÊÁ¿ÒÔ¼°»¬¿éµÄÖÊÁ¿£¬Óÿ̶ȳ߲âÁ¿¼ÆÊýµãÖ®¼äµÄ¾àÀë´Ó¶øÇó³ö»¬¿éµÄËٶȣ¬¹Ê»¹ÒªÌìƽºÍ¿Ì¶È³ß£®
£¨2£©ÉèÉþ×ÓÉÏÀÁ¦ÎªF£¬¶ÔС³µ¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨ÂÉÓУºF=Ma£¬¶ÔÉ°Í°ºÍÉ°ÓУºmg-F=ma£¬
Óɴ˽âµÃ£ºF=$\frac{mg}{1+\frac{m}{M}}$£¬
ÓÉ´Ë¿ÉÖªµ±M£¾£¾mʱ£¬É°ºÍÉ°Í°µÄÖØÁ¦µÈÓÚÉþ×ÓµÄÀÁ¦£¬ËùÒÔÈôʹÉþ×ÓÀÁ¦½üËƵÈÓÚɳºÍɳͰµÄÖØÁ¦£¬Ó¦Âú×ãµÄÌõ¼þÊÇɳºÍɳͰµÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚ»¬¿éµÄÖÊÁ¿£®
£¨3£©¿Ì¶È³ßÒª¹À¶Á£¬¹Ê12¼äµÄ¾àÀëL=1.86cm£¬1µãµÄ˲ʱËٶȵÈÓÚ02¼äµÄƽ¾ùËٶȣ¬ÔòÓУº${v}_{1}=\frac{0.0306}{0.2}m/s=0.15m/s$
ÐèÒªÑéÖ¤µÄ±í´ïʽΪ£º$mgL=\frac{1}{2}{Mv}_{2}^{2}-\frac{1}{2}{Mv}_{1}^{2}$
¹Ê´ð°¸Îª£º£¨1£©¿Ì¶È³ß£»£¨2£©É³ºÍɳͰµÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚ»¬¿éµÄÖÊÁ¿£»£¨3£©1.86cm£¬0.15£¬$mgL=\frac{1}{2}{Mv}_{2}^{2}-\frac{1}{2}{Mv}_{1}^{2}$
µãÆÀ ¸ÃÌâµÄ¹Ø¼üÊǸù¾ÝʵÑéÔÀí²¢½áºÏÅ£¶ÙµÚ¶þ¶¨ÂɺͶ¯Äܶ¨ÀíÀ´È·¶¨Òª²âÁ¿µÄÁ¿£¬Í¬Ê±ÒªÊìÁ·Ó¦ÓÃÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ½â´ðʵÑéÎÊÌ⣮
A£® | ¬ɪ¸£Í¨¹ý¶Ô¦ÁÁ£×ÓÉ¢ÉäʵÑé½á¹ûµÄ·ÖÎö£¬Ìá³öÁËÔ×ÓÄÚ²¿´æÔÚÖÊ×Ó | |
B£® | Ì«ÑôÒòºË¾Û±äÊͷųö¾Þ´óµÄÄÜÁ¿£¬Í¬Ê±ÆäÖÊÁ¿²»¶Ï¼õÉÙ£¬Ì«ÑôÿÃëÖÓ·øÉä³öµÄÄÜÁ¿Ô¼Îª4.0¡Á1026J£¬¸ù¾Ý°®Òò˹̹ÖÊÄÜ·½³Ì£¬Ì«ÑôÿÃëÖÓ¼õÉÙµÄÖÊÁ¿×î½Ó½ü109kg | |
C£® | ·ÅÉäÐÔÔªËØA¾¹ý2´Î¦ÁË¥±äºÍ1´Î¦ÂË¥±äºóÉú³ÉÒ»ÐÂÔªËØB£¬ÔòÔªËØBÔÚÔªËØÖÜÆÚ±íÖеÄλÖýÏÔªËØAµÄλÖÃÏòÇ°Òƶ¯ÁË3λ | |
D£® | ¸ù¾Ý²£¶ûÀíÂÛ£¬ÇâÔ×ӵĺËÍâµç×ÓÓɽϸßÄܼ¶Ô¾Ç¨µ½½ÏµÍÄܼ¶Ê±£¬ÒªÊÍ·ÅÒ»¶¨ÆµÂʵĹâ×Ó£¬Í¬Ê±µç×ӵĶ¯ÄܼõС£¬µçÊÆÄÜÔö´ó |
A£® | X Ô×ÓºËÖк¬ÓÐ38 ¸öÖÐ×Ó | |
B£® | X Ô×ÓºËÖк¬ÓÐ94 ¸öºË×Ó | |
C£® | ÒòΪÁѱäÊÍ·ÅÄÜÁ¿£¬¸ù¾ÝE=mc2£¬ËùÒÔÁѱäºóµÄ×ÜÖÊÁ¿Êý¼õС | |
D£® | ÒòΪÁѱäÊÍ·ÅÄÜÁ¿£¬${\;}_{54}^{140}$XeÓë${\;}_{Z}^{A}$XµÄ±È½áºÏÄܶ¼Ð¡ÓÚ${\;}_{92}^{235}$UºË |
A£® | Mµã´¦´øÕýµç£¬Nµã´¦´ø¸ºµç£¬ÇÒMµãµçÊƸßÓÚNµãµçÊÆ | |
B£® | Mµã´¦´øÕýµç£¬Nµã´¦´ø¸ºµç£¬ÇÒMµãµçÊƵÈÓÚNµãµçÊÆ | |
C£® | Mµã´¦´ø¸ºµç£¬Nµã´¦´øÕýµç£¬ÇÒMµãµçÊƸßÓÚNµãµçÊÆ | |
D£® | Mµã´¦´ø¸ºµç£¬Nµã´¦´øÕýµç£¬ÇÒMµãµçÊƵÈÓÚNµãµçÊÆ |
A£® | µç³¡Ç¿¶ÈµÄ´óСE=$\frac{mg}{q}$ | |
B£® | С»·´ÓAµãÔ˶¯µ½BµãµÄ¹ý³ÌÖУ¬µ¯»ÉµÄµ¯Á¦²»×ö¹¦ | |
C£® | С»·´ÓAµãÔ˶¯µ½BµãµÄ¹ý³ÌÖУ¬µ¯»ÉµÄµ¯ÐÔÊÆÄÜÏȼõСºóÔö´ó | |
D£® | С»·ÔÚAµãʱÊܵ½´ó»·¶ÔËüµÄµ¯Á¦´óСF=mg-kL |
A£® | 2£º1£º2 | B£® | 1£º2£º1 | C£® | 2£º2£º1 | D£® | 1£º1£º2 |
A£® | ÇúÏßÔ˶¯ÎïÌåµÄËٶȿÉÄܲ»±ä | |
B£® | ÇúÏßÔ˶¯ÎïÌåµÄ¼ÓËÙ¶ÈÒ»¶¨±ä»¯ | |
C£® | ÔÈËÙÔ²ÖÜÔ˶¯ÎïÌåµÄºÏÍâÁ¦Ò»¶¨Ö¸ÏòÔ²ÐÄ | |
D£® | ÇúÏßÔ˶¯ÎïÌåµÄºÏÍâÁ¦Ò»¶¨ÓëÎïÌåËٶȷ½Ïò´¹Ö± |