ÌâÄ¿ÄÚÈÝ
1£®Ä³Í¬Ñ§Éè¼ÆÁËÒ»¸öÈçͼ1ËùʾµÄ×°ÖÃÀ´²â¶¨»¬¿éÓëľ°å¼äµÄ¶¯Ä¦²ÁÒòÊý£¬ÆäÖÐAΪ»¬¿é£¬BºÍCÊÇÖÊÁ¿¿Éµ÷µÄíÀÂ룬²»¼ÆÉþºÍ»¬ÂÖµÄÖÊÁ¿¼°ËüÃÇÖ®¼äµÄĦ²Á£®ÊµÑéÖиÃͬѧÔÚíÀÂë×ÜÖÊÁ¿£¨m+m¡ä=m0£©±£³Ö²»±äµÄÌõ¼þÏ£¬¸Ä±ämºÍm¡äµÄ´óС£¬²â³ö²»Í¬mÏÂϵͳµÄ¼ÓËÙ¶È£¬È»ºóͨ¹ýʵÑéÊý¾ÝµÄ·ÖÎö¾Í¿ÉÇó³ö»¬¿éÓëľ°å¼äµÄ¶¯Ä¦²ÁÒòÊý£®£¨1£©¸ÃͬѧÊÖÖÐÓдòµã¼ÆÊ±Æ÷¡¢Ö½´ø¡¢10¸öÖÊÁ¿¾ùΪ100¿ËµÄíÀÂë¡¢»¬¿é¡¢Ò»¶Ë´øÓж¨»¬Âֵij¤Ä¾°å¡¢Ï¸Ïߣ¬ÎªÁËÍê³É±¾ÊµÑ飬µÃµ½ËùÒª²âÁ¿µÄÎïÀíÁ¿£¬»¹Ó¦ÓÐBD£®
A£®Ãë±í B£®ºÁÃ×¿Ì¶È³ß C£®ÌìÆ½ D£®µÍѹ½»Á÷µçÔ´
£¨2£©ÊµÑéÖУ¬¸ÃͬѧµÃµ½Ò»Ìõ½ÏΪÀíÏëµÄÖ½´ø£¬Èçͼ2Ëùʾ£¬´ÓÇåÎúµÄOµã¿ªÊ¼£¬Ã¿¸ô4¸öµãȡһ¼ÆÊýµã£¨Öмä4¸öµãû»³ö£©£¬·Ö±ð¼ÇΪA¡¢B¡¢C¡¢D¡¢E¡¢F£¬¸÷¼ÆÊýµãµ½OµãµÄ¾àÀëΪOA=1.61cm£¬OB=4.02cm£¬OC=7.26
cm£¬OD=11.30cm£¬OE=16.14cm£¬OF=21.80cm£¬´òµã¼ÆÊ±Æ÷´òµãƵÂÊΪ50Hz£¬ÔòÓÉ´ËÖ½´ø¿ÉµÃµ½´òEµãʱ»¬¿éµÄËÙ¶Èv=0.53m/s£¬´Ë´ÎʵÑ黬¿éµÄ¼ÓËÙ¶Èa=0.81m/s2£®£¨½á¹û¾ù±£ÁôÁ½Î»ÓÐЧÊý×Ö£©
£¨3£©ÔÚʵÑéÊý¾Ý´¦ÀíÖУ¬¸ÃͬѧÒÔmΪºáÖᣬÒÔϵͳµÄ¼ÓËÙ¶ÈaΪ×ÝÖᣬ»æÖÆÁËÈçͼ3ËùʾµÄʵÑéͼÏߣ¬½áºÏ±¾ÊµÑé¿ÉÖª»¬¿éÓëľ°å¼äµÄ¶¯Ä¦²ÁÒòÊý¦Ì=0.3£®£¨gÈ¡10m/s2£©
·ÖÎö £¨1£©±¾ÊµÑéÖÐÐèÒª½»Á÷µçÔ´ºÍ³¤¶ÈµÄ²âÁ¿¹¤¾ß£®
£¨2£©Ã¿¸ô4¸öµãȡһ¼ÆÊýµã£¬ÏàÁÚ¼ÆÊýµãÖ®¼äµÄʱ¼ä¼ä¸ôΪ0.1s£¬ÓÉÔȼÓËÙ¹æÂɿɵã¬ÓÃÆ½¾ùËٶȵÈÓÚÖмäʱ¿ÌµÄ˲ʱËÙ¶ÈÇó½âËÙ¶È¡¢Óá÷x=at2Çó½â¼ÓËÙ¶È£®
£¨3£©¶ÔϵͳӦÓÃÅ£¶ÙµÚ¶þ¶¨ÂÉ£¬µÃµ½Í¼ÏßµÄ×ÝÖá½Ø¾àΪ-¦Ìg£¬¿É½âµÃ¶¯Ä¦²ÁÒòÊý£®
½â´ð ½â£º£¨1£©A¡¢´òµã¼ÆÊ±Æ÷ͨ¹ý´òµã¼´¿ÉÖªµÀʱ¼ä£¬¹Ê²»ÐèÒªÃë±í£¬¹ÊA´íÎó£®
B¡¢ÊµÑéÐèÒª²âÁ¿Á½µãÖ®¼äµÄ¾àÀ룬¹ÊÐèÒªºÁÃ׿̶ȳߣ¬¹ÊBÕýÈ·£®
C¡¢±¾ÊµÑéÖпÉÒÔ²»²â»¬¿éµÄÖÊÁ¿£¬¶øÇÒíÀÂëµÄÖÊÁ¿ÒÑÖª£¬¹ÊÌìÆ½¿ÉÒÔ²»Ñ¡£¬¹ÊC´íÎó£®
D¡¢´òµã¼ÆÊ±Æ÷ÒªÓõ½µÍѹ½»Á÷µçÔ´£¬¹ÊDÕýÈ·£®
¹ÊÑ¡£ºBD
£¨2£©Ã¿¸ô4¸öµãȡһ¼ÆÊýµã£¬ÏàÁÚ¼ÆÊýµãÖ®¼äµÄʱ¼ä¼ä¸ôΪ0.1s£¬¹ÊÓÃÆ½¾ùËٶȵÈÓÚÖмäʱ¿ÌµÄ˲ʱËٶȿɵãº
vE=$\frac{DF}{2T}$=$\frac{0.2180-0.1130}{2¡Á0.1}$=0.53m/s£»
ÓÉ¡÷x=at2¿ÉµÃ£ºa=$\frac{¡÷x}{{t}^{2}}$=$\frac{{x}_{CF}-{x}_{OC}}{0£®{3}^{2}}$=0.81m/s2£»
£¨3£©¶ÔABCϵͳӦÓÃÅ£¶ÙµÚ¶þ¶¨Âɿɵãºa=$\frac{mg-¦Ì£¨M+m¡ä£©g}{M+{m}_{0}}\$=$\frac{£¨1+¦Ì£©mg}{M+{m}_{0}}$£¬
ËùÒÔ£¬a--tͼÏóÖУ¬×ÝÖáµÄ½Ø¾àΪ-¦Ìg£¬¹Ê-¦Ìg=-3£¬¦Ì=0.3
¹Ê´ð°¸Îª£º£¨1£©BD¡¡£¨2£©0.53¡¡0.81¡¡£¨3£©0.3£®
µãÆÀ ±¾Ì⿼²é¶¯Ä¦²ÁÒòÊýµÄ²âÁ¿ÊµÑ飻ҪÇóÄÜÊìϤֽ´øµÄ´¦Àí·½·¨£¬×¢Òâʱ¼äµÄÊýÖµºÍ³¤¶ÈµÄµ¥Î»¡¢Öð²î·¨µÈ£»¶ÔÓÚͼÏóÎÊÌ⣬ҪעÒâ·ÖÎö½Ø¾à¡¢Ð±ÂÊ¡¢Ãæ»ýµÈµÄº¬Ò壮
| A£® | Èô½«a¶Ë½ÓµçÔ´Õý¼«£¬b¶Ë½ÓµçÔ´¸º¼«£¬Ôòµ¯»É²âÁ¦¼ÆÊ¾Êý½«Ôö´ó | |
| B£® | Èô½«b¶Ë½ÓµçÔ´Õý¼«£¬a¶Ë½ÓµçÔ´¸º¼«£¬Ôòµ¯»É²âÁ¦¼ÆÊ¾Êý½«Ôö´ó | |
| C£® | ²»ÂÛÂÝÏß¹ÜͨµçÇé¿öÈçºÎ£¬µ¯»É²âÁ¦¼ÆÊ¾Êý¾ùÔö´ó | |
| D£® | ²»ÂÛÂÝÏß¹ÜͨµçÇé¿öÈçºÎ£¬µ¯»É²âÁ¦¼ÆÊ¾Êý¾ù²»±ä |
| A£® | µç´Å¯ | B£® | Ë®Á¦·¢µç»ú | C£® | ¶¯È¦Ê½»°Í² | D£® | ¸Éµç³Ø |
| A£® | СÇòÂäµØÊ±¼äΪ2s | |
| B£® | СÇòÂäµØÊ±Ë®Æ½Î»ÒÆ10m | |
| C£® | СÇòÂäµØÊ±ËÙ¶È´óС 20m/s | |
| D£® | СÇòÂäµØÊ±ËÙ¶È·½ÏòÓëˮƽ·½Ïò³É60¡ã |
| A£® | ÎïÌåÔÚ4ÃëÄ©¿ªÊ¼ÏòÕý±±·½ÏòÔ˶¯ | |
| B£® | ÎïÌåÔÚ4ÃëÄ©¿ªÊ¼×÷±ä¼ÓËÙÇúÏßÔ˶¯ | |
| C£® | ÎïÌåÔÚ4ÃëÄ©µÄ¼ÓËٶȺÍËÙ¶È·½Ïò¶¼ÊÇÕý±±·½Ïò | |
| D£® | ÎïÌåÔÚÕâ5ÃëÄÚµÄÎ»ÒÆÊÇ26Ã× |
| A£® | ÎïÌåÔÚÏòÉÏÔ˶¯¹ý³ÌÖУ¬»úеÄܼõÉÙ100J | |
| B£® | ÎïÌåµ½´ïÐ±ÃæÉÏ×î¸ßµãʱʱ£¬ÖØÁ¦ÊÆÄÜÔö¼ÓÁË60J | |
| C£® | ÎïÌå·µ»ØÐ±Ãæµ×¶Ëʱ¶¯ÄÜΪ40J | |
| D£® | ÎïÌå·µ»ØMµãʱ»úеÄÜΪ50J |