ÌâÄ¿ÄÚÈÝ

12£®ÍÁÐÇÖÜΧÓÐÃÀÀö׳¹ÛµÄ¡°¹â»·¡±£¬×é³É»·µÄ¿ÅÁ£ÊÇ´óС²»µÈ¡¢Ïß¶È´Ó1¦Ìmµ½10mµÄÑÒʯ¡¢³¾°££®ËüÃÇÀàËÆÓÚÎÀÐÇ£¬ÓëÍÁÐÇÖÐÐĵľàÀë´Ó7.3¡Á104kmÑÓÉìµ½1.4¡Á105km£®ÒÑÖª»·µÄÍâ¿ÅÁ£ÈÆÍÁÐÇ×öÔ²ÖÜÔ˶¯µÄÖÜÆÚԼΪ14h£¬Èô²»¿¼ÂÇ»·ÖпÅÁ£¼äµÄÏ໥×÷Óã¬ÒýÁ¦³£Á¿Îª6.67¡Á10-11N•m2/kg2£¬ÊÔ¹ÀË㣺
£¨1£©ÍÁÐǵÄÖÊÁ¿£®
£¨2£©×é³É¡°¹â»·¡±¿ÅÁ£µÄÔ˶¯ËٶȵĴóС·¶Î§£®

·ÖÎö £¨1£©Ñо¿»·µÄÍâÔµ¿ÅÁ£ÈÆÍÁÐÇ×öÔ²ÖÜÔ˶¯£¬¸ù¾ÝÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦£¬ÁгöµÈʽÇó³öÍÁÐǵÄÖÊÁ¿£»
£¨2£©¸ù¾ÝÍòÓÐÒýÁ¦ÌṩԲÖÜÔ˶¯ÏòÐÄÁ¦Óɹ⻷¿ÅÁ£µÄ°ë¾¶´óС·¶Î§ÇóµÃÔ²ÖÜÔ˶¯µÄÏßËÙ¶È´óС·¶Î§£®

½â´ð ½â£º£¨1£©Ñо¿»·µÄÍâÔµ¿ÅÁ£ÈÆÍÁÐÇ×öÔ²ÖÜÔ˶¯£¬¸ù¾ÝÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦£¬ÁгöµÈʽ£º$G\frac{mM}{{r}^{2}}=mr\frac{4{¦Ð}^{2}}{{T}^{2}}$
ÔòµÃÍÁÐǵÄÖÊÁ¿M=$\frac{4{¦Ð}^{2}{r}^{3}}{G{T}^{2}}$=$\frac{4¡Á3.1{4}^{2}¡Á£¨1.4¡Á1{0}^{5}¡Á1{0}^{3}£©^{3}}{6.67¡Á1{0}^{-11}¡Á£¨14¡Á3600£©^{2}}kg$¡Ö6.4¡Á1026kg
£¨2£©¹â»·ÖпÅÁ£ÈÆÍÁÐÇÔ²ÖÜÔ˶¯£¬ÍòÓÐÒýÁ¦ÌṩԲÖÜÔ˶¯ÏòÐÄÁ¦ÓУº
$G\frac{mM}{{r}^{2}}=m\frac{{v}^{2}}{r}$
¿ÉµÃv=$\sqrt{\frac{GM}{r}}$
ËùÒÔ¹ìµÀ°ë¾¶×î´óʱËÙ¶È×îС£¬¼´${v}_{min}=\sqrt{\frac{GM}{{r}_{max}}}=\sqrt{\frac{6.67¡Á1{0}^{-11}¡Á6.4¡Á1{0}^{26}}{1.4¡Á1{0}^{5}¡Á1{0}^{8}}}$m/s=1.7¡Á104m/s£»
¹ìµÀ°ë¾¶×îСʱËÙ¶È×î´ó£¬¼´${v}_{max}=\sqrt{\frac{GM}{{r}_{min}}}=\sqrt{\frac{6.67¡Á1{0}^{-11}¡Á6.4¡Á1{0}^{26}}{7.3¡Á1{0}^{4}¡Á1{0}^{3}}}$m/s=2.4¡Á104m/s
¼´¹â»·µÄËÙ¶È´óС·¶Î§Îª£º2.4¡Á104m/s¡Ýv¡Ý1.7¡Á104m/s
´ð£º£¨1£©ÍÁÐǵÄÖÊÁ¿Îª6.4¡Á1026kg£»
£¨2£©×é³É¡°¹â»·¡±¿ÅÁ£µÄÔ˶¯ËٶȵĴóС·¶Î§Îª2.4¡Á104m/s¡Ýv¡Ý1.7¡Á104m/s£®

µãÆÀ ±¾Ì⽨Á¢Ä£ÐÍ£¬ÖªµÀÐýתÌìÌåµÄ¹ìµÀ°ë¾¶ºÍÖÜÆÚ£¬ÀûÓÃÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦£¬ÄÜÇó³öÖÐÐÄÌìÌåµÄÖÊÁ¿£¬²¢Äܸù¾Ý°ë¾¶´óС·¶Î§ÇóµÃ»·ÈÆÌìÌåµÄËÙ¶È´óС·¶Î§£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿

Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com

¾«Ó¢¼Ò½ÌÍø