ÌâÄ¿ÄÚÈÝ
19£®£¨1£©·É´¬µÄÏòÐļÓËٶȺͻ·ÈÆÏßËÙ¶È£»
£¨2£©´óÎ÷ÑóÐÇÈÆµØÇòÔËÐеĽÇËÙ¶È£®
·ÖÎö £¨1£©¸ù¾ÝµØÇò±íÃæÖØÁ¦ÓëÍòÓÐÒýÁ¦ÏàµÈºÍÍòÓÐÒýÁ¦Ìṩ·É´¬µÄÏòÐÄÁ¦ÁÐʽÇó½â·É´¬µÄÏòÐļÓËٶȺÍÏßËÙ¶È£»
£¨2£©¸ù¾ÝµØÇò±íÃæÖØÁ¦ÓëÍòÓÐÒýÁ¦ÏàµÈºÍÍòÓÐÒýÁ¦Ìṩ´óÎ÷ÑóÐǵÄÏòÐÄÁ¦ÇóºÍ´óÎ÷ÑóµÄ½ÇËÙ¶È£®
½â´ð ½â£ºÔÚµØÇò±íÃæÓУº$G\frac{mM}{{R}^{2}}=mg$¿ÉµÃ£ºGM=gR2
£¨1£©·É´¬ÈƵØÇòÔ²ÖÜÔ˶¯µÄÏòÐÄÁ¦ÓÉÍòÓÐÒýÁ¦Ìṩ£¬ÓÖÖª·É´¬µÄ¹ìµÀ°ë¾¶Îª£ºr=$R+\frac{1}{20}R=\frac{21}{20}R$
¾Ý$G\frac{mM}{{r}^{2}}=ma=m\frac{{v}^{2}}{r}$
¿ÉµÃ·É´¬µÄÏòÐļÓËÙ¶ÈΪ£ºa=$\frac{GM}{{r}^{2}}=\frac{g{R}^{2}}{£¨\frac{21}{20}R£©^{2}}$=$£¨\frac{20}{21}£©^{2}g$
·É´¬µÄÏßËÙ¶ÈΪ£º$v=\sqrt{\frac{GM}{r}}$=$\sqrt{\frac{g{R}^{2}}{\frac{21}{20}R}}$=$\sqrt{\frac{20}{21}gR}$
£¨2£©ÓÉÌâÒâÖª´óÎ÷ÑóÐǵĹìµÀ°ë¾¶Îª£ºr¡ä=R+6R=7R
´óÎ÷ÑóÐÇÔ²ÖÜÔ˶¯µÄÏòÐÄÁ¦ÓÉÍòÓÐÒýÁ¦Ìṩ£¬ÔòÓУº
$G\frac{mM}{r{¡ä}^{2}}=mr¡ä{¦Ø}^{2}$
ËùÒÔ½ÇËÙ¶ÈΪ£º$¦Ø=\sqrt{\frac{GM}{r{¡ä}^{3}}}$=$\sqrt{\frac{g{R}^{2}}{£¨7R£©^{3}}}$=$\sqrt{\frac{g}{343R}}$
´ð£º£¨1£©·É´¬µÄÏòÐļÓËÙ¶ÈΪ$£¨\frac{20}{21}£©^{2}g$ºÍ»·ÈÆÏßËÙ¶ÈΪ$\sqrt{\frac{20}{21}gR}$£»
£¨2£©´óÎ÷ÑóÐÇÈÆµØÇòÔËÐеĽÇËÙ¶ÈΪ$\sqrt{\frac{g}{343R}}$£®
µãÆÀ ½â¾öÌâµÄ¹Ø¼üÊǸù¾ÝµØÃæÖØÁ¦ÓëÍòÓÐÒýÁ¦ÏàµÈÇó³ö»Æ½ð´ú»»Ê½£¬ÔÙ¸ù¾ÝÍòÓÐÒýÁ¦ÌṩԲÖÜÔ˶¯ÏòÐÄÁ¦Çó½âÃèÊöÔ²ÖÜÔ˶¯µÄÎïÀíÁ¿£®
| A£® | È˶Դ«ËÍ´ø²»×ö¹¦ | |
| B£® | È˶Դ«ËÍ´ø×ö¹¦µÄ¹¦ÂÊΪmgv | |
| C£® | È˶Դ«ËÍ´ø×öµÄ¹¦ºÍ´«ËÍ´ø¶ÔÈË×öµÄ¹¦´óСÏàµÈ£¬µ«Õý¸ºÏà·´ | |
| D£® | ´«ËÍ´ø¸øÈ˵ÄĦ²ÁÁ¦·½ÏòÓë´«ËÍ´øµÄËÙ¶È·½ÏòÏàͬ |
| A£® | P¡¢S¡¢QÈýµãµÄ½ÇËÙ¶ÈÖ®±ÈΪ3£º3£º1 | |
| B£® | P¡¢S¡¢QÈýµãµÄÏßËÙ¶ÈÖ®±ÈΪ2£º1£º2 | |
| C£® | P¡¢S¡¢QÈýµãµÄÖÜÆÚÖ®±ÈΪ1£º1£º3 | |
| D£® | P¡¢S¡¢QÈýµãµÄÏòÐļÓËÙ¶ÈÖ®±ÈΪ2£º1£º6 |
| A£® | ÎïÌåÔÚµÚ6sÄ©¸Ä±äÔ˶¯·½Ïò | |
| B£® | 0-4sÄڵļÓËÙ¶È´óÓÚ6-8sÄڵļÓËÙ¶È | |
| C£® | ǰ6sÄÚµÄÎ»ÒÆÎª12 m | |
| D£® | µÚ8sÄ©ÎïÌåÀë³ö·¢µã×îÔ¶ |
| A£® | Ñ̳¾Îü¸½ÔÚÖ±Ïß½ðÊôË¿ÉÏ | B£® | Ñ̳¾Îü¸½ÔÚÂÝÐý½ðÊôË¿ÉÏ | ||
| C£® | ½ðÊô˿֮¼äÐγÉÁËÔÈÇ¿´Å³¡ | D£® | ¿¿½üÖ±Ïß½ðÊôË¿´¦µÄ³¡Ç¿Ð¡ |
| A£® | ´ÅÌú¶ÔµçÁ÷µÄ×÷ÓÃÁ¦ÊúÖ±ÏòÏ | B£® | ´ÅÌú¶ÔµçÁ÷µÄ×÷ÓÃÁ¦Ð±ÏòÉÏ | ||
| C£® | ´ÅÌú¶ÔÖ§³ÐÃæµÄѹÁ¦Ôö´ó | D£® | µçÁ÷¶Ô´ÅÌúµÄ×÷ÓÃÁ¦ÊúÖ±ÏòÉÏ |
| A£® | S±ÕºÏʱ£¬D1¡¢D2ͬʱÁÁ | B£® | S±ÕºÏʱ£¬D2ÏÈÁÁ£¬D1ºóÁÁ | ||
| C£® | S¶Ï¿ªÊ±£¬D2¡¢D1Á¢¼´Ï¨Ãð | D£® | S¶Ï¿ªÊ±£¬D2Á¢¼´Ï¨Ãð£¬D1²»»áϨÃð |