ÌâÄ¿ÄÚÈÝ
5£®Èçͼa£¬ÎªÄ³Í¬Ñ§Éè¼ÆµÄ¡°Ì½¾¿¼ÓËÙ¶ÈÓëÎïÌåËùÊܺÏÁ¦F¼°ÖÊÁ¿m µÄ¹Øϵ¡±ÊµÑé×°Öüòͼ£®£¨1£©ÔÚ±£³ÖС³µÊÜÁ¦Ïàͬʱ£¬Ì½¾¿¼ÓËÙ¶ÈÓëÖÊÁ¿¹ØϵµÄʵÑéåø£¬ÒÔÏÂ×ö·¨ÕýÈ·µÄÊÇ
A£®Æ½ºâĦ²ÁÁ¦Ê±£¬Ó¦½«×°ÓÐíÀÂëµÄСͰÓÃϸÉþͨ¹ý¶¨»¬ÂÖϵÔÚС³µÉÏ
B£®Ã¿´Î¸Ä±äС³µµÄÖÊÁ¿Ê±£¬²»ÐèÒªÖØÐÂƽºâĦ²ÁÁ¦
C£®ÊµÑéʱ£¬ÏÈ·Å¿ªÐ¡³µ£¬ÔÙ½Óͨ´òµã¼ÆʱÆ÷µçÔ´
D£®ÎªµÃ³ö¼ÓËÙ¶ÈaÓëÓëÖÊÁ¿mµÄ¹Øϵ¶ø×÷³öa-$\frac{1}{m}$ͼÏó
£¨2£©Í¼bÊÇʵÑéÖлñÈ¡µÄÒ»ÌõÖ½´øµÄÒ»²¿·Ö£¬ÆäÖÐO¡¢A¡¢B¡¢C¡¢DÊǼÆÊýµã£¬Ã¿ÏàÁÚÁ½¼ÆÊýµã¼ä»¹ÓÐ4¸öµã£¨Í¼ÖÐδ±ê³ö£©£¬¼ÆÊýµã¼äµÄ¾àÀëÈçͼ£¬´ò¡°B¡±¼ÆÊýµãʱС³µµÄËٶȴóСΪ0.54m/s£®ÓÉÖ½´øÇó³öС³µµÄ¼ÓËٶȵĴóСΪ1.5m/s2£®£¨¼ÆËã½á¹û¾ù±£Áô2λÓÐЧÊý×Ö£©
·ÖÎö ̽¾¿¼ÓËÙ¶ÈÓëÀÁ¦µÄ¹ØϵʵÑéʱ£¬ÒªÆ½ºâĦ²ÁÁ¦£¬Æ½ºâĦ²ÁÁ¦Ê±£¬ÒªÇóС³µÔÚÎÞ¶¯Á¦µÄÇé¿öÏÂƽºâĦ²ÁÁ¦£¬²»ÐèÒª¹ÒÈκζ«Î÷£®Ð¡³µµÄ¼ÓËÙ¶ÈÓ¦¸ù¾Ý´òµã¼ÆʱÆ÷´ò³öµÄÖ½´øÇó³ö£»Æ½ºâĦ²ÁÁ¦Ê±£¬ÊÇÖØÁ¦ÑØľ°å·½ÏòµÄ·ÖÁ¦µÈÓÚĦ²ÁÁ¦£¬¼´£ºmgsin¦È=¦Ìmgcos¦È£¬¿ÉÒÔÔ¼µôm£¬Ö»ÐèҪƽºâÒ»´ÎĦ²ÁÁ¦£®²Ù×÷¹ý³ÌÊÇÏȽÓͨ´òµã¼ÆʱÆ÷µÄµçÔ´£¬ÔÙ·Å¿ªÐ¡³µ£®¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2£¬¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£¬¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯ÖÐʱ¼äÖеãµÄËٶȵÈÓڸùý³ÌÖеÄƽ¾ùËٶȣ¬¿ÉÒÔÇó³ö´òÖ½´øÉÏ´òBµãʱС³µµÄ˲ʱËٶȴóС£®
½â´ð ½â£º£¨1£©A¡¢Æ½ºâĦ²ÁÁ¦Ê±£¬²»Äܽ«×°íÀÂëµÄÍÐÅÌÓÃϸÏßͨ¹ý¶¨»¬ÂÖϵÔÚС³µÉÏ£®¹ÊA´íÎó£®
B¡¢Ã¿´Î¸Ä±äС³µµÄÖÊÁ¿£¬²»ÐèÒªÖØÐÂƽºâĦ²ÁÁ¦£®¹ÊBÕýÈ·£®
C¡¢ÊµÑéʱÏȽÓͨµçÔ´£¬ÔÙ·Å¿ªÐ¡³µ£®¹ÊC´íÎó£®
D¡¢Ì½¾¿aÓëmµÄ¹Øϵʱ£¬Ó¦×÷a-$\frac{1}{m}$ͼÏߣ®¹ÊDÕýÈ·£®
¹ÊÑ¡£ºBD£®
£¨2£©ÓÉÓÚÿÏàÁÚÁ½¸ö¼ÆÊýµã¼ä»¹ÓÐ4¸öµãûÓл³ö£¬ËùÒÔÏàÁڵļÆÊýµã¼äµÄʱ¼ä¼ä¸ôT=0.1s£¬
¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯ÖÐʱ¼äÖеãµÄËٶȵÈÓڸùý³ÌÖеÄƽ¾ùËٶȵãº
vB=$\frac{0.1387-0.0310}{2¡Á0.1}$=0.54m/s
¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£¬
µÃ£ºa=$\frac{0.2153-0.0772-0.0772}{4¡Á0.01}$=1.5m/s2£®
¹Ê´ð°¸Îª£º£¨1£©BD£»£¨2£©0.54£»1.5£»
µãÆÀ ±¾Ì⿼²éÁË´òµã¼ÆʱÆ÷µÄÓ¦Óü°´ò³öµÄÖ½´øµÄ´¦Àí·½·¨£¬ÓÐÀûÓÚѧÉú»ù±¾ÖªÊ¶µÄÕÆÎÕ£¬Í¬Ê±Ò²¿¼²éÁËѧÉú¶ÔʵÑéÊý¾ÝµÄ´¦Àí·½·¨£¬¼°ÊÔÑéÌõ¼þµÄÕÆÎÕ£¬ÄѶÈÊÊÖУ®
A£® | ¡ÏCO1O=60¡ã | B£® | ¡ÏCO1O=45¡ã | ||
C£® | ÂäµØµã¾àO2×îԶΪ$\sqrt{2}$R | D£® | ÂäµØµã¾àO2×î½üΪR |
A£® | ÓÉÓÚAÏßȦµÄµç´Å¸ÐÓ¦×÷Ó㬲ŲúÉúÑÓʱÊÍ·ÅDµÄ×÷Óà | |
B£® | ÓÉÓÚBÏßȦµÄµç´Å¸ÐÓ¦×÷Ó㬲ŲúÉúÑÓʱÊÍ·ÅDµÄ×÷Óà | |
C£® | Èç¹û¶Ï¿ªBÏßȦµÄµç¼üS2£¬ÈÔÓÐÑÓʱ×÷Óà | |
D£® | Èç¹û¶Ï¿ªBÏßȦµÄµç¼üS2£¬ÑÓʱ½«±ä³¤ |
A£® | F¼õС£¬NÔö´ó | B£® | FºÍN¾ù¼õС | C£® | FºÍN¾ùÔö´ó | D£® | FÔö´ó£¬N¼õС |
A£® | ¸ôÖ±µçÈÝÆ÷ÔÚµç·ÖУ¬Í¨½»Á÷×èÖ±Á÷ | |
B£® | ÅÔ·µçÈÝÆ÷ÔÚµç·ÖУ¬Í¨µÍƵ×è¸ßƵ | |
C£® | µÍƵ¶óÁ÷ȦÔÚµç·ÖУ¬Í¨½»Á÷×èÖ±Á÷ | |
D£® | ¸ßƵ¶óÁ÷ȦÔÚµç·ÖУ¬Í¨¸ßƵ×èµÍƵ |
A£® | ÕýÔÚ×ö¼ÓËÙÔ˶¯£¬¼ÓËÙ¶ÈÕýÔÚÔö´ó | B£® | ÕýÔÚ×ö¼ÓËÙÔ˶¯£¬¼ÓËÙ¶ÈÕýÔÚ¼õС | ||
C£® | ÕýÔÚ×ö¼õËÙÔ˶¯£¬¼ÓËÙ¶ÈÕýÔÚÔö´ó | D£® | ÕýÔÚ×ö¼õËÙÔ˶¯£¬¼ÓËÙ¶ÈÕýÔÚ¼õС |
A£® | ÊúÖ±·ÖËٶȵÈÓÚˮƽ·ÖËÙ¶È | B£® | ´ËʱÇòµÄËٶȴóСΪ$\sqrt{5}$v0 | ||
C£® | Ô˶¯µÄʱ¼äΪ$\frac{\sqrt{5}}{g}$v0 | D£® | Ô˶¯µÄλÒÆÊÇ$\frac{2\sqrt{2}}{g}$v0 |