ÌâÄ¿ÄÚÈÝ
15£®Í¼1Ϊ¡°Ñé֤ţ¶ÙµÚ¶þ¶¨ÂÉ¡±µÄʵÑé×°ÖÃʾÒâͼ£®É°ºÍɰͰµÄ×ÜÖÊÁ¿Îªm£¬Ð¡³µºÍíÀÂëµÄ×ÜÖÊÁ¿ÎªM£®ÊµÑéÖÐÓÃɰºÍɰͰ×ÜÖØÁ¦µÄ´óС×÷ΪϸÏß¶ÔС³µÀÁ¦µÄ´óС£®£¨1£©ÊµÑéÖУ¬ÎªÁËʹϸÏß¶ÔС³µµÄÀÁ¦µÈÓÚС³µËùÊܵĺÏÍâÁ¦£¬Ïȵ÷½Ú³¤Ä¾°åÉÏ»¬Âֵĸ߶ȣ¬Ê¹Ï¸ÏßÓ볤ľ°åƽÐУ®½ÓÏÂÀ´»¹ÐèÒª½øÐеÄÒ»Ïî²Ù×÷ÊÇB
A£®½«³¤Ä¾°åˮƽ·ÅÖã¬ÈÃС³µÁ¬×ÅÒѾ´©¹ý´òµã¼ÆÊ±Æ÷µÄÖ½´ø£¬¸ø´òµã¼ÆÊ±Æ÷ͨµç£¬µ÷½ÚmµÄ´óС£¬Ê¹Ð¡³µÔÚɰºÍɰͰµÄÇ£ÒýÏÂÔ˶¯£¬´Ó´ò³öµÄÖ½´øÅжÏС³µÊÇ·ñ×öÔÈËÙÔ˶¯£®
B£®½«³¤Ä¾°åµÄÒ»¶ËµæÆðÊʵ±µÄ¸ß¶È£¬ÈÃС³µÁ¬×ÅÒѾ´©¹ý´òµã¼ÆÊ±Æ÷µÄÖ½´ø£¬³·È¥É°ºÍɰͰ£¬¸ø´òµã¼ÆÊ±Æ÷ͨµç£¬ÇáÍÆÐ¡³µ£¬´Ó´ò³öµÄÖ½´øÅжÏС³µÊÇ·ñ×öÔÈËÙÔ˶¯£®
C£®½«³¤Ä¾°åµÄÒ»¶ËµæÆðÊʵ±µÄ¸ß¶È£¬³·È¥Ö½´øÒÔ¼°É°ºÍɰͰ£¬ÇáÍÆÐ¡³µ£¬¹Û²ìÅжÏС³µÊÇ·ñ×öÔÈËÙÔ˶¯£®
£¨2£©ÊµÑéÖÐÒª½øÐÐÖÊÁ¿mºÍMµÄѡȡ£¬ÒÔÏÂ×îºÏÀíµÄÒ»×éÊÇC
A£®M=200g£¬m=10g¡¢15g¡¢20g¡¢25g¡¢30g¡¢40g
B£®M=200g£¬m=20g¡¢40g¡¢60g¡¢80g¡¢100g¡¢120g
C£®M=400g£¬m=5g¡¢10g¡¢15g¡¢20g¡¢25g¡¢30g
D£®M=400g£¬m=20g¡¢40g¡¢60g¡¢80g¡¢100g¡¢120g
£¨3£©Í¼2ÊÇʵÑéÖеõ½µÄÒ»ÌõÖ½´ø£¬A¡¢B¡¢C¡¢D¡¢E¡¢F¡¢GΪ7¸öÏàÁڵļÆÊýµã£¬ÏàÁÚµÄÁ½¸ö¼ÆÊýµãÖ®¼ä»¹ÓÐËĸöµãδ»³ö£®Á¿³öÏàÁڵļÆÊýµãÖ®¼äµÄ¾àÀë·Ö±ðΪ£ºsAB=4.22cm¡¢sBC=4.65cm¡¢sCD=5.08cm¡¢sDE=5.49cm¡¢sEF=5.91cm¡¢sFG=6.34cm£®´òµã¼ÆÊ±Æ÷µÄ¹¤×÷ƵÂÊΪ50Hz£¬Ð¡³µµÄ¼ÓËÙ¶Èa=0.42m/s2£¬VC=0.49m/s£¨½á¹û±£ÁôÁ½Î»ÓÐЧÊý×Ö£©£®
·ÖÎö 1¡¢Ð¡³µÏ»¬Ê±Êܵ½ÖØÁ¦¡¢Ï¸ÏßµÄÀÁ¦¡¢Ö§³ÖÁ¦ºÍĦ²ÁÁ¦£¬ÒªÊ¹ÀÁ¦µÈÓÚºÏÁ¦£¬ÔòӦƽºâĦ²ÁÁ¦£»
2¡¢µ±É³ºÍɳͰ×ÜÖÊÁ¿Ô¶Ô¶Ð¡ÓÚС³µºÍíÀÂëµÄ×ÜÖÊÁ¿£¬¼´m£¼£¼Mʱ²Å¿ÉÒÔÈÏΪÉþ¶ÔС³µµÄÀÁ¦´óСµÈÓÚɳºÍɳͰµÄÖØÁ¦£»
3¡¢¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£¬
½â´ð ½â£º£¨1£©Ð¡³µÏ»¬Ê±Êܵ½ÖØÁ¦¡¢Ï¸ÏßµÄÀÁ¦¡¢Ö§³ÖÁ¦ºÍĦ²ÁÁ¦£¬ÒªÊ¹ÀÁ¦µÈÓÚºÏÁ¦£¬ÔòÓ¦¸ÃÓÃÖØÁ¦µÄÏ»¬·ÖÁ¿À´Æ½ºâĦ²ÁÁ¦£¬¿ÉÒÔ½«³¤Ä¾°åµÄÒ»¶Îµæ¸ß£¬³·È¥É°ºÍɰͰ£¬ÇáÍÆÐ¡³µ£¬´Ó´ò³öµÄÖ½´øÅжÏС³µÊÇ·ñ×öÔÈËÙÔ˶¯£¬¹ÊBÕýÈ·£®
¹ÊÑ¡£ºB
£¨2£©µ±m£¼£¼Mʱ£¬¼´µ±É³ºÍɳͰ×ÜÖÊÁ¿Ô¶Ô¶Ð¡ÓÚС³µºÍíÀÂëµÄ×ÜÖÊÁ¿£¬Éþ×ÓµÄÀÁ¦½üËÆµÈÓÚɳºÍɳͰµÄ×ÜÖØÁ¦£®Òò´Ë×îºÏÀíµÄÒ»×éÊÇC£®
¹ÊÑ¡£ºC£®
£¨3£©ÏàÁÚµÄÁ½¸ö¼ÆÊýµãÖ®¼ä»¹ÓÐËĸöµãδ»³ö£¬ÏàÁڵļÆÊýµãʱ¼ä¼ä¸ôΪT=0.1s£¬
ÀûÓÃÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¡÷x=at2£¬µÃ£º
sDE-sAB=3a1T2
sEF-sBC=3a2T2
sFG-sCD=3a3T2
ΪÁ˸ü¼Ó׼ȷµÄÇó½â¼ÓËÙ¶È£¬ÎÒÃǶÔÈý¸ö¼ÓËÙ¶Èȡƽ¾ùÖµµÃ£º
a=$\frac{1}{3}$£¨a1+a2+a3£©=$\frac{0.0634+0.0591+0.0549-0.0508-0.0465-0.0422}{9¡Á0.01}$m/s2=0.42m/s2
¹Ê´ð°¸Îª£º£¨1£©B£»£¨2£©C£»£¨3£©0.42£®
µãÆÀ ÒªÌá¸ßÓ¦ÓÃÔȱäËÙÖ±ÏߵĹæÂÉÒÔ¼°ÍÆÂÛ½â´ðʵÑéÎÊÌâµÄÄÜÁ¦£¬Ö»ÒªÕæÕýÕÆÎÕÁËʵÑéÔÀí¾ÍÄÜ˳Àû½â¾ö´ËÀàʵÑéÌâÄ¿£¬¶øÊµÑé²½Ö裬ʵÑéÊý¾ÝµÄ´¦Àí¶¼ÓëʵÑéÔÀíÓйأ¬¹ÊÒª¼ÓÇ¿¶ÔʵÑéÔÀíµÄѧϰºÍÕÆÎÕ£®
| A£® | ʵÑéÖо¢¶ÈϵÊýkµÄ¾ßÌåÊýÖµ±ØÐë¼ÆËã³öÀ´ | |
| B£® | Èç¹ûûÓвâ³öµ¯»ÉÔ³¤£¬Óõ¯»É³¤¶ÈL´úÌæx£¬F-LͼÏßÒ²ÊǹýÔµãµÄÒ»ÌõÖ±Ïß | |
| C£® | ÀûÓÃF-xÖ±Ïß¿ÉÇó³ökÖµ | |
| D£® | ʵÑéʱҪ°ÑËùÓеãÁ¬µ½ÏßÉÏ£¬²ÅÄÜ̽Ë÷µÃµ½ÕæÊµ¹æÂÉ |
| A£® | µç×ӳƵĴ«¸Ð×°Öà | B£® | Ö»ÒªÅÄÅÄÊÖµçµÆ¾ÍÁÁµÄ¿ØÖÆ×°Öà | ||
| C£® | ÌõÐÎÂëʶ±ðÆ÷ | D£® | µç·¹ìÒÖпØÖƼÓÈȺͱ£ÎµÄÎÂ¿ØÆ÷ |
| A£® | ÍÆÁ¦µÄ³åÁ¿Ftcos¦È | B£® | ÖØÁ¦µÄ³åÁ¿Îª0 | ||
| C£® | ÍÆÁ¦FµÄ³åÁ¿ÊÇFt | D£® | ľÏäµÄ¶¯Á¿±ä»¯ÊÇFtcos¦È |
| A£® | ÔËÐÐʱ¼ätP£¾tQ | B£® | µçÊÆÄܼõÉÙÁ¿Ö®±È¡÷Ep£º¡÷EQ=4£º1 | ||
| C£® | µçºÉÁ¿Ö®±ÈqP£ºqQ=2£º1 | D£® | ¶¯ÄÜÔö¼ÓÁ¿Ö®±È¡÷EKP£º¡÷EKQ=4£º1 |
| A£® | t=1sºÍt=5sʱ£¬ÖʵãµÄÎ»ÒÆÏàͬ | B£® | t=1sºÍt=5sʱ£¬ÖʵãµÄËÙ¶ÈÏàͬ | ||
| C£® | t=3sʱ£¬ÖʵãµÄËÙ¶È´óСΪ6m/s | D£® | ÖʵãÔ˶¯µÄ¼ÓËÙ¶È´óСΪ10$\sqrt{6}$m/s |
| A£® | ÎïÌå¶ÔÖ§³ÖÃæµÄѹÁ¦Ò»¶¨µÈÓÚÎïÌåµÄÖØÁ¦ | |
| B£® | ÖØÁ¦¾ÍÊÇÎïÌåÊܵ½µÄµØÇòÒýÁ¦ | |
| C£® | ÐÎ×´¹æÔòµÄÎïÌåµÄÖØÐľÍÔÚÎïÌåµÄ¼¸ºÎÖÐÐÄ | |
| D£® | ÖØÐÄÊÇÎïÌåËùÊÜÖØÁ¦µÄµÈЧ×÷Óõã |