ÌâÄ¿ÄÚÈÝ
13£®Ä³ÊµÑéС×éÀûÓÃÈçͼ¼×ËùʾµÄ×°ÖýøÐС°Ì½¾¿¼ÓËÙ¶ÈÓëÁ¦¡¢ÖÊÁ¿µÄ¹Øϵ¡±µÄʵÑ飮£¨1£©ÏÂÁвÙ×÷ÕýÈ·µÄÊÇBD£¨Ìî×Öĸ£©£®
A£®Îª¼õСÎó²î£¬Ê¹ÊµÑéÖÐíÀÂëºÍÍ°µÄ×ÜÖÊÁ¿Ô¶´óÓÚС³µµÄ×ÜÖÊÁ¿
B£®½«¹ìµÀµÄ×ó¶Ëµæ¸ß£¬ÒÔƽºâĦ²ÁÁ¦
C£®Ð¡³µ¿¿½ü´òµã¼ÆʱÆ÷£¬ÏÈÊÍ·ÅС³µ£¬ÔÙ½ÓͨµçÔ´
D£®¸Ä±äСͰÖÐíÀÂëµÄÖÊÁ¿£¬¶à´ò³ö¼¸ÌõÖ½´ø
£¨2£©ÊµÑéÖеõ½Ò»ÌõÈçͼÒÒËùʾµÄÖ½´ø£®µãA¡¢B¡¢CÊÇÖ½´øÉÏ3¸ö¼ÆÊýµã£¨Ã¿´ò5¸öµãÈ¡Ò»¸ö¼ÆÊýµã£©£®ÒÑÖª´òµã¼ÆʱÆ÷µÄƵÂÊΪ50Hz£®´ÓͼÒÒÖжÁ³ö¼ÆÊýµãA¡¢BÁ½µã¼äµÄ¾àÀëÊÇ4.80cm£®¼ÆÊýµãB¶ÔÓ¦µÄËٶȴóСÊÇ0.54m/s£»¸ÃÔȱäËÙÔ˶¯¼ÓËٶȴóСÊÇ1.1m/s2£®
·ÖÎö £¨1£©µ±íÀÂëºÍÍ°µÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚС³µµÄ×ÜÖÊÁ¿Ê±£¬íÀÂëµÄÖØÁ¦²Å½üËÆ¿ÉÒÔ¿´×÷С³µËùÊܵÄÀÁ¦£®ÎªÁËʹС³µµÄºÏÁ¦µÈÓÚËùÊܵÄÀÁ¦£¬±ØÐëƽºâĦ²ÁÁ¦£®ÊµÑéʱ£¬Ð¡³µ¿¿½ü´òµã¼ÆʱÆ÷£¬ÏȽÓͨµçÔ´£¬ÔÙÊÍ·ÅС³µ£®ÒªÖظ´¼¸´ÎʵÑ飬¶à´ò³ö¼¸ÌõÖ½´ø£®
£¨2£©Óɿ̶ȳ߶Á³öA¡¢BÁ½µã¼äµÄ¾àÀ룬Ҫ¶Áµ½0.1mm£®ÓÃAC¼äµÄƽ¾ùËÙ¶ÈÀ´´úÌæ¼ÆÊýµãB¶ÔÓ¦µÄËٶȣ®ÓÉ¡÷x=aT2Çó¼ÓËٶȣ®
½â´ð ½â£º£¨1£©A¡¢ÉèС³µµÄÖÊÁ¿ÎªM£¬íÀÂëºÍÍ°µÄ×ÜÖÊÁ¿Îªm£¬¸ù¾ÝÅ£¶ÙµÚ¶þ¶¨Âɵãº
¶Ôm£ºmg-FÀ=ma¡¢Ù
¶ÔM£ºFÀ=Ma¡¢Ú
½âµÃ£ºa=$\frac{mg}{M+m}$£¬FÀ=$\frac{Mmg}{M+m}$=$\frac{mg}{1+\frac{m}{M}}$£¬µ±m£¼£¼Mʱ£¬¼´µ±íÀÂëºÍÍ°µÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚС³µµÄ×ÜÖÊÁ¿Ê±£¬Éþ×ÓµÄÀÁ¦½üËƵÈÓÚíÀÂëºÍÍ°µÄ×ÜÖØÁ¦£®¹ÊA´íÎó£®
B¡¢ÊµÑéÇ°Ó¦ÏÈƽºâĦ²ÁÁ¦£¬ÈÃÖØÁ¦ÑØбÃæÏòϵķÖÁ¿ÓëĦ²ÁÁ¦Æ½ºâ£¬Ð¡³µµÄºÏÁ¦µÈÓÚËùÊܵÄÀÁ¦£¬±ãÓÚ²âÁ¿£¬¹ÊBÕýÈ·£»
C¡¢ÊµÑéʱ£¬Ð¡³µ¿¿½ü´òµã¼ÆʱÆ÷£¬ÏȽÓͨµçÔ´£¬ÔÙÊÍ·ÅС³µ£®¹ÊC´íÎó£®
D¡¢ÒªÖظ´¼¸´ÎʵÑ飬¸Ä±äСͰÖÐíÀÂëµÄÖÊÁ¿£¬¶à´ò³ö¼¸ÌõÖ½´ø£®¹ÊDÕýÈ·£®
¹ÊÑ¡£ºBD
£¨2£©´ÓͼÒÒÖжÁ³ö¼ÆÊýµãA¡¢BÁ½µã¼äµÄ¾àÀëÊÇ x1=4.80cm£®¼ÆÊýµãB¡¢CÁ½µã¼äµÄ¾àÀëÊÇ x2=5.90cm
¼ÆÊýµãB¶ÔÓ¦µÄËٶȴóСÊÇ£º
vB=$\frac{{x}_{1}+{x}_{2}}{2T}$=$\frac{£¨4.80+5.90£©¡Á1{0}^{-2}}{2¡Á0.1}$¡Ö0.54m/s
¸ù¾Ý¡÷x=aT2µÃ£º
x2-x1=ma
´úÈëÊý¾Ý½âµÃ£ºa=1.1m/s2£®
¹Ê´ð°¸Îª£º£¨1£©BD£»£¨2£©4.80£¬0.54£¬1.1£®
µãÆÀ ½â¾öʵÑéÎÊÌâÊ×ÏÈÒªÕÆÎÕ¸ÃʵÑéÔÀí£¬Á˽âʵÑéµÄ²Ù×÷²½ÖèºÍÊý¾Ý´¦ÀíÒÔ¼°×¢ÒâÊÂÏҪÕÆÎÕÔȱäËÙÖ±ÏßÔ˶¯µÄÁ½´óÍÆÂÛ£¬²¢ÄÜÁé»îÔËÓã®
A£® | ¶Ô½ÓÇ°¡°ÉñÖÛʮһºÅ¡±Óû×·ÉÏ¡°Ì칬¶þºÅ¡±¿ÉÒÔÔÚͬһ¹ìµÀÉϵã»ð¼ÓËÙ | |
B£® | ¶Ô½Óºó¡°Ì칬¶þºÅ¡±µÄÔËÐÐËÙ¶ÈСÓÚ7.9km/s | |
C£® | ÓԱ´¦ÓÚÍêȫʧÖØ״̬£¬²¢Ê§È¥¹ßÐÔ | |
D£® | ÓԱÔÚ¡°Ì칬¶þºÅ¡±¿Õ¼äʵÑéÊÒÖпÉÀûÓõ¯»É³ÓÍê³É¡°ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨ÔòµÄʵÑ顱 |
A£® | µ¼Ìå°ôab×öÔȱäËÙÔ˶¯ | |
B£® | µ¼Ìå°ôµÄ»úеÄÜÊغã | |
C£® | µ¥Î»Ê±¼äÄÚ¿Ë·þ°²ÅàÁ¦×öµÄ¹¦È«²¿×ª»¯ÎªÄÚÄÜ | |
D£® | µ¼Ìå°ôab×îºó×öÔÈËÙÔ˶¯Ê±£¬ËٶȴóСΪv=$\frac{mgR}{{B}^{2}{L}^{2}}$ |
A£® | »¬¿éÒ»¶¨×ö±ä¼ÓËÙÖ±ÏßÔ˶¯ | B£® | »¬¿éÒ»¶¨×öÔÈËÙÖ±ÏßÔ˶¯ | ||
C£® | »¬¿éÒ»¶¨×öÇúÏßÔ˶¯ | D£® | »¬¿éÒ»¶¨×öÔȱäËÙÖ±ÏßÔ˶¯ |
A£® | 1£º2 | B£® | 2£º1 | C£® | 3£º1 | D£® | 3£º2 |
A£® | ÔÚ0ÖÁt2 ʱ¼äÄÚ¼×Ò»Ö±×öÔȼÓËÙÖ±ÏßÔ˶¯ | |
B£® | ÒÒÏÈ×öÔȼõËÙµ½ËÙ¶ÈΪ 0£¬ÔÙ×öÔȼÓËÙÖ±ÏßÔ˶¯ | |
C£® | Á½ÎïÌåÔÚ0ÖÁt2 ʱ¼äÄÚµÄλÒÆ´óС¹ØϵΪ x¼×£¾2xÒÒ | |
D£® | ´ËͼÖУ¬¼××öһάֱÏßÔ˶¯£¬ÒÒ×ö¶þάÕÛÏßÔ˶¯ |