ÌâÄ¿ÄÚÈÝ
10£®Ä³Ñо¿ÐÔѧϰС×éÀûÓÃÆøµæµ¼¹ìÑéÖ¤»úеÄÜÊغ㶨ÂÉ£¬ÊµÑé×°ÖÃÈçͼ¼×Ëùʾ£®ÔÚÆøµæµ¼¹ìÉÏÏà¸ôÒ»¶¨¾àÀëµÄÁ½´¦°²×°Á½¸ö¹âµç´«¸ÐÆ÷A¡¢B£¬»¬¿éPÉϹ̶¨Ò»ÕÚ¹âÌõ£¬Èô¹âÏß±»ÕÚ¹âÌõÕÚµ²£¬¹âµç´«¸ÐÆ÷»áÊä³ö¸ßµçѹ£¬Á½¹âµç´«¸ÐÆ÷²É¼¯Êý¾ÝºóÓë¼ÆËã»úÏàÁ¬£®»¬¿éÔÚϸÏßµÄÇ£ÒýÏÂÏò×ó¼ÓËÙÔ˶¯£¬ÕÚ¹âÌõ¾¹ý¹âµç´«¸ÐÆ÷A¡¢Bʱ£¬Í¨¹ý¼ÆËã»ú¿ÉÒԵõ½ÈçͼÒÒËùʾµÄµçѹUËæʱ¼ät±ä»¯µÄͼÏ󣮣¨1£©ÊµÑéÇ°£¬½ÓͨÆøÔ´£¬½«»¬¿é£¨²»¹Ò¹³Â룩ÖÃÓÚÆøµæµ¼¹ìÉÏ£¬ÇáÍÆ»¬¿é£¬µ±Í¼ÒÒÖеġ÷t1=¡÷t2£¨Ñ¡Ìî¡°£¾¡±¡¢¡°=¡±»ò¡°£¼¡±£©Ê±£¬ËµÃ÷Æøµæµ¼¹ìÒѾˮƽ£®
£¨2£©ÓÃÂÝÐý²â΢Æ÷²âÕÚ¹âÌõ¿í¶Èd£¬²âÁ¿½á¹ûÈçͼ±ûËùʾ£¬Ôòd=8.474mm£®
£¨3£©»¬¿éPÓÃϸÏß¿ç¹ýÆøµæµ¼¹ì×ó¶ËµÄ¶¨»¬ÂÖÓëÖÊÁ¿ÎªmµÄ¹³ÂëQÏàÁ¬£¬½«»¬¿éPÓÉͼ¼×ËùʾλÖÃÊÍ·Å£¬Í¨¹ý¼ÆËã»úµÃµ½µÄͼÏóÈçͼÒÒËùʾ£¬Èô¡÷t1¡¢¡÷t2ºÍdÒÑÖª£¬ÒªÑéÖ¤»¬¿éºÍíÀÂë×é³ÉµÄϵͳ»úеÄÜÊÇ·ñÊغ㣬»¹Ó¦²â³ö»¬¿éµÄÖÊÁ¿MºÍÁ½¹âµçÃżäµÄ¾àÀëL£¨Ð´³öÎïÀíÁ¿µÄÃû³Æ¼°·ûºÅ£©£®
£¨4£©ÈôÉÏÊöÎïÀíÁ¿¼äÂú×ã¹ØϵʽmgL=$\frac{1}{2}£¨M+m£©£¨\frac{d}{¡÷{t}_{2}}£©^{2}-\frac{1}{2}£¨M+m£©£¨\frac{d}{¡÷{t}_{1}}£©^{2}$£¬Ôò±íÃ÷ÔÚÉÏÊö¹ý³ÌÖУ¬»¬¿éºÍíÀÂë×é³ÉµÄϵͳ»úеÄÜÊغ㣮
·ÖÎö £¨1£©µ±»¬¿é×öÔÈËÙÖ±ÏßÔ˶¯Ê±£¬Æøµæµ¼¹ìˮƽ£®
£¨2£©ÂÝÐý²â΢Æ÷µÄ¶ÁÊýµÈÓڹ̶¨¿Ì¶È¶ÁÊý¼ÓÉϿɶ¯¿Ì¶È¶ÁÊý£¬Ðè¹À¶Á£®
£¨3¡¢4£©¶ÔϵͳÑо¿£¬¸ù¾ÝϵͳÖØÁ¦ÊÆÄܵļõСÁ¿µÈÓÚϵͳ¶¯ÄܵÄÔö¼ÓÁ¿µÃ³öÑéÖ¤µÄ±í´ïʽ£¬´Ó¶øÈ·¶¨ËùÐè²âÁ¿µÄÎïÀíÁ¿£®
½â´ð ½â£º£¨1£©ÊµÑéÇ°£¬½ÓͨÆøÔ´£¬½«»¬¿é£¨²»¹Ò¹³Â룩ÖÃÓÚÆøµæµ¼¹ìÉÏ£¬ÇáÍÆ»¬¿é£¬»¬¿é×öÔÈËÙÖ±ÏßÔ˶¯Ê±£¬¡÷t1=¡÷t2£¬ËµÃ÷Æøµæµ¼¹ìÒѾˮƽ£®
£¨2£©ÂÝÐý²â΢Æ÷µÄ¹Ì¶¨¿Ì¶È¶ÁÊýΪ8mm£¬¿É¶¯¿Ì¶È¶ÁÊýΪ0.01¡Á47.4mm=0.474mm£¬Ôò×îÖÕ¶ÁÊýΪ8.474mm£®
£¨3¡¢4£©ÏµÍ³ÖØÁ¦ÊÆÄܵļõСÁ¿ÎªmgL£¬ÏµÍ³¶¯ÄܵÄÔö¼ÓÁ¿Îª$\frac{1}{2}£¨M+m£©{{v}_{2}}^{2}-\frac{1}{2}£¨M+m£©{{v}_{1}}^{2}$=$\frac{1}{2}£¨M+m£©£¨\frac{d}{¡÷{t}_{2}}£©^{2}-\frac{1}{2}£¨M+m£©£¨\frac{d}{¡÷{t}_{1}}£©^{2}$£®
¿ÉÖªÂú×ã¹ØϵʽmgL=$\frac{1}{2}£¨M+m£©£¨\frac{d}{¡÷{t}_{2}}£©^{2}-\frac{1}{2}£¨M+m£©£¨\frac{d}{¡÷{t}_{1}}£©^{2}$£¬Ôò»¬¿éºÍíÀÂë×é³ÉµÄϵͳ»úеÄÜÊغ㣮
ËùÒÔ»¹ÐèÒª²âÁ¿»¬¿éµÄÖÊÁ¿M£¬Á½¹âµçÃżäµÄ¾àÀëL£®
¹Ê´ð°¸Îª£º£¨1£©=£¬£¨2£©8.474£¬£¨3£©»¬¿éÖÊÁ¿M£¬Á½¹âµçÃżäµÄ¾àÀëL£¬£¨4£©mgL=$\frac{1}{2}£¨M+m£©£¨\frac{d}{¡÷{t}_{2}}£©^{2}-\frac{1}{2}£¨M+m£©£¨\frac{d}{¡÷{t}_{1}}£©^{2}$£®
µãÆÀ ½â¾ö±¾ÌâµÄ¹Ø¼üÕÆÎÕÂÝÐý²â΢Æ÷µÄ¶ÁÊý·½·¨£¬Á˽â¹âµçÃŲâÁ¿Ë²Ê±ËٶȵÄÔÀí£®ÊµÑéÖÐÎÒÃÇÒªÇå³þÑо¿¶ÔÏóºÍÑо¿¹ý³Ì£¬¶ÔÓÚϵͳÎÒÃÇÒª¿¼ÂÇÈ«Ã森
A£® | ¸Ã²¨µÄ´«²¥ËÙÂÊΪ8m/s | |
B£® | ¸Ã²¨µÄ´«²¥·½ÏòÑØxÖáÕý·½Ïò | |
C£® | ¾¹ý0.5s£¬ÖʵãPÑز¨µÄ´«²¥·½ÏòÏòÇ°Òƶ¯2m | |
D£® | ÖʵãPÔÚ2.75sʱµÄλÒÆΪ0.2m |
A£® | ÕâÁв¨µÄƵÂÊΪ5 Hz | |
B£® | t=0ʱ¿Ì£¬ÕñÔ´A´ÓƽºâλÖÃÏòÏÂÕñ¶¯ | |
C£® | ´Ót=0.10 sµ½t=0.12 sʱ¼äÄÚ£¬ÕñÔ´AµÄËٶȼõС£¬¼ÓËÙ¶ÈÔö´ó | |
D£® | ´Ë²¨µÄ´«²¥ËÙ¶ÈΪ20 m/s | |
E£® | ÈôÔö´óÕñÔ´AµÄÕñ¶¯ÆµÂÊ£¬Ôò²¨ÔÚ³¤ÉþÉϵĴ«²¥ËÙ¶ÈÒ²½«Ôö´ó |
A£® | ¸Ãºá²¨µÄ²¨ËÙ´óСΪ20m/s | |
B£® | t=0ʱ£¬x=1m´¦µÄÖʵãÕñ¶¯·½ÏòÏòÉÏ | |
C£® | t=0.175sʱ£¬x=-1m´¦µÄÖʵ㴦ÔÚ²¨·åλÖà | |
D£® | ÈôÕñÔ´SÏòÓÒÔÈËÙÔ˶¯£¬ÔÚÕñÔ´SÓҲྲֹµÄ½ÓÊÕÕß½ÓÊÕµ½µÄƵÂÊСÓÚ10Hz | |
E£® | ´«²¥¹ý³ÌÖиúᲨÓöµ½Ð¡ÓÚ2mµÄÕÏ°Îï»òС¿×¶¼ÄÜ·¢ÉúÃ÷ÏÔµÄÑÜÉäÏÖÏó |
A£® | Ö»ÒªÁ½ÎïÌå½Ó´¥¾ÍÒ»¶¨²úÉúµ¯Á¦ | |
B£® | µ¯Á¦µÄ·½Ïò×ÜÊÇÓëÊ©Á¦ÎïÌå»Ö¸´ÐαäµÄ·½ÏòÏàͬ | |
C£® | Ö»ÓÐÊܵ½µ¯»É×÷ÓõÄÎïÌå²Å»áÊܵ½µ¯Á¦×÷Óà | |
D£® | Ï໥½Ó´¥µÄÎïÌå¼ä²»Ò»¶¨´æÔÚµ¯Á¦ |
A£® | Á½°å¼ä¸÷µãµçÊƾù´óÓÚÁã | B£® | dµãµçÊƦÕd=-0.6 V | ||
C£® | cµãµçÊƦÕc=5.4 V | D£® | c¡¢dÁ½µã¼äµçÊƲîUcd=-4.8 V |
A£® | ·Ö×ÓµÄÊÆÄÜ×ÜÊÇËæËüÃǼäµÄ¾àÀëÔö´ó¶øÔö´ó | |
B£® | ·Ö×ÓµÄÊÆÄÜ×ÜÊÇËæËüÃǼäµÄ¾àÀë¼õС¶øÔö´ó | |
C£® | µ±·Ö×Ó¼ä×÷ÓÃÁ¦±íÏÖΪÒýÁ¦Ê±£¬·Ö×ÓÊÆÄÜËæËüÃǼä¾àÀëÔö´ó¶ø¼õС | |
D£® | µ±·Ö×Ó¼ä×÷ÓÃÁ¦±íÏÖΪ³âÁ¦Ê±£¬·Ö×ÓÊÆÄÜËæËüÃǼä¾àÀë¼õС¶øÔö´ó |