·ÖÎö £¨1£©¢Ù¸ù¾ÝÍòÓÐÒýÁ¦¶¨ÂɺÍÅ£¶ÙµÚ¶þ¶¨ÂÉÇó¸ÃË«ÐÇϵͳÖÐÐÇÌåµÄ¼ÓËٶȴóС£»
¢Ú¸ù¾ÝÔ²ÖÜÔ˶¯µÄÔ˶¯Ñ§¹«Ê½Çó½â¸ÃË«ÐÇϵͳµÄÔ˶¯ÖÜÆÚ£»
£¨2£©¢Ù¸ù¾ÝÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦ºÍ¶¯Äܹ«Ê½·Ö±ðÇó³öÁ½ÖÖÄ£ÐÍϵͳµÄ×ܶ¯ÄÜ£»
¢Ú¸ù¾ÝÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦Çó³öÁ½ÖÖÄ£ÐÍϵͳµÄÖÜÆÚ£¬ÔÙÓÉÊýѧ֪ʶµÃ³öÖÜÆÚÖ®¼äµÄ¹Øϵ£¬´Ó¶øµÃ³ö½áÂÛ£®
½â´ð ½â£º£¨1£©¢Ù¡¢¸ù¾ÝÍòÓÐÒýÁ¦¶¨ÂɺÍÅ£¶ÙµÚ¶þ¶¨ÂÉÓУº
$G\frac{{M}_{0}^{2}}{{L}_{\;}^{2}}={M}_{0}^{\;}a$
½âµÃ£º$a=\frac{G{M}_{0}^{\;}}{{L}_{\;}^{2}}$£º
¢Ú¡¢ÓÉÔ˶¯Ñ§¹«Ê½¿ÉÖª£º$a=\frac{4{¦Ð}_{\;}^{2}}{{T}_{\;}^{2}}\frac{L}{2}$
½âµÃ£º$T=2¦Ð\sqrt{\frac{{L}_{\;}^{3}}{2G{M}_{0}^{\;}}}$
£¨2£©¢ÙÄ£ÐÍ¢ñÖУ¬Éèµç×ÓºÍÔ×Ӻ˵ÄËٶȷֱðΪv£¬¶ÔÓÚµç×ÓÈƺ˵ÄÔ˶¯£¬¸ù¾Ý¿âÂض¨ÂɺÍÅ£¶ÙµÚ¶þ¶¨ÂÉÓУº
$k\frac{{e}_{\;}^{2}}{{r}_{\;}^{2}}=m\frac{{v}_{\;}^{2}}{r}$
½âµÃ£º${E}_{k1}^{\;}=\frac{1}{2}m{v}_{\;}^{2}$=$\frac{k{e}_{\;}^{2}}{2r}$
Ä£ÐÍ¢òÖУ¬Éèµç×ÓºÍÔ×Ӻ˵ÄËٶȷֱðΪ${v}_{1}^{\;}$¡¢${v}_{2}^{\;}$£¬µç×ÓµÄÔ˶¯°ë¾¶Îª${r}_{1}^{\;}$£¬Ô×Ӻ˵ÄÔ˶¯°ë¾¶Îª${r}_{2}^{\;}$£®¸ù¾Ý¿âÂ׶¨ÂɺÍÅ£¶ÙµÚ¶þ¶¨ÂÉ
¶Ôµç×ÓÓУº$k\frac{{e}_{\;}^{2}}{{r}_{\;}^{2}}=m\frac{{v}_{1}^{2}}{{r}_{1}^{\;}}$
½âµÃ£º${E}_{k1}^{\;}=\frac{1}{2}m{v}_{1}^{2}=\frac{k{e}_{\;}^{2}}{2{r}_{\;}^{2}}{r}_{1}^{\;}$
¶ÔÓÚÔ×ÓºËÓУº$k\frac{{e}_{\;}^{2}}{{r}_{\;}^{2}}=M\frac{{v}_{2}^{2}}{{r}_{2}^{\;}}$£º
½âµÃ£º${E}_{k2}^{\;}=\frac{1}{2}M{v}_{2}^{2}=\frac{k{e}_{\;}^{2}}{2{r}_{\;}^{2}}{r}_{2}^{\;}$
ϵͳ×ܶ¯ÄÜΪ£º${E}_{k×Ü}^{\;}$=${E}_{k1}^{\;}+{E}_{k2}^{\;}$=$\frac{k{e}_{\;}^{2}}{2{r}_{\;}^{2}}£¨{r}_{1}^{\;}+{r}_{2}^{\;}£©$=$\frac{k{e}_{\;}^{2}}{2r}$
¼´ÔÚÉèÁ½ÖÖÄ£ÐÍÖУ¬ÏµÍ³µÄ×ܶ¯ÄÜÏàµÈ£®
¢ÚÄ£ÐÍ¢ñÖУ¬¸ù¾Ý¿âÂض¨ÂɺÍÅ£¶ÙµÚ¶þ¶¨ÂÉÓУº
$k\frac{{e}_{\;}^{2}}{{r}_{\;}^{2}}=m\frac{4{¦Ð}_{\;}^{2}}{{T}_{¢ñ}^{2}}r$
½âµÃ£º${T}_{¢ñ}^{2}=\frac{4{¦Ð}_{\;}^{2}m{r}_{\;}^{3}}{k{e}_{\;}^{2}}$
Ä£ÐÍ¢òÖУ¬µç×ÓºÍÔ×ÓºËÖÜÆÚÏàͬ£¬¾ùΪ${T}_{¢ò}^{\;}$
¸ù¾Ý¿âÂض¨ÂɺÍÅ£¶ÙµÚ¶þ¶¨ÂÉ£¬¶Ôµç×ÓÓУº£º$k\frac{{e}_{\;}^{2}}{{r}_{\;}^{2}}=m\frac{4{¦Ð}_{\;}^{2}}{{T}_{¢ò}^{2}}{r}_{1}^{\;}$
½âµÃ£º${r}_{1}^{\;}=\frac{k{e}_{\;}^{2}{T}_{¢ò}^{2}}{4{¦Ð}_{\;}^{2}{r}_{\;}^{2}m}$
¶ÔÔ×ÓºËÓУº$k\frac{{e}_{\;}^{2}}{{r}_{\;}^{2}}=M\frac{4{¦Ð}_{\;}^{2}}{{T}_{¢ò}^{2}}{r}_{2}^{\;}$
½âµÃ£º${r}_{2}^{\;}=\frac{k{e}_{\;}^{2}{T}_{¢ò}^{2}}{4{¦Ð}_{\;}^{2}{r}_{\;}^{2}M}$
Òò${r}_{1}^{\;}+{r}_{2}^{\;}=r$£¬½«ÒÔÉÏÁ½Ê½´úÈ룬¿É½âµÃ£º
${T}_{¢ò}^{2}=\frac{4{¦Ð}_{\;}^{2}mM{r}_{\;}^{2}}{{ke}_{\;}^{2}£¨M+m£©}$
ËùÒÔÓУº$\frac{{T}_{¢ñ}^{\;}}{{T}_{¢ò}^{\;}}=\sqrt{\frac{M+m}{M}}$
ÒòΪM£¾£¾m£¬¿ÉµÃ${T}_{¢ñ}^{\;}¡Ö{T}_{¢ò}^{\;}$£¬ËùÒÔ²ÉÓÃÄ£ÐÍ¢ñ¸ü¼òµ¥·½±ã
´ð£º£¨1£©¢Ù¸ÃË«ÐÇϵͳÖÐÐÇÌåµÄ¼ÓËٶȴóСaΪ$\frac{G{M}_{0}^{\;}}{{L}_{\;}^{2}}$£»
¢Ú¸ÃË«ÐÇϵͳµÄÔ˶¯ÖÜÆÚTΪ$2¦Ð\sqrt{\frac{{L}_{\;}^{3}}{2G{M}_{0}^{\;}}}$
£¨2£©¢ÙÄ£ÐÍ¢ñ¡¢¢òÖÐϵͳµÄ×ܶ¯ÄÜ·Ö±ðÓÃEk¢ñ¡¢Ek¢ò±íʾ£¬ÇëÍÆÀí·ÖÎö£¬±È½ÏEk¢ñ¡¢Ek¢òµÄ´óСÏàµÈ£»
¢ÚÄ£ÐÍ¢ñ¡¢¢òÖкËÍâµç×Ó×öÔÈËÙÔ²ÖÜÔ˶¯µÄÖÜÆÚ·Ö±ðÓÃT¢ñ¡¢T¢ò±íʾ£¬Í¨³£Çé¿öÏÂÇâÔ×ÓµÄÑо¿²ÉÓÃÄ£ÐÍ¢ñµÄ·½°¸£¬´ÓÖÜÆڵĽǶȷÖÎöÕâÑù¼ò»¯´¦ÀíµÄºÏÀíÐÔ£¬ÒòΪ²ÉÓÃÄ£ÐÍ¢ñ¸ü¼òµ¥·½±ã£®
µãÆÀ ¶ÔÓÚË«ÐÇÎÊÌâºÍ°µÎïÖÊÎÊÌ⣬¹Ø¼ü¶¼Òª½¨Á¢Ä£ÐÍ£¬È·¶¨ÏòÐÄÁ¦µÄÀ´Ô´£®ÈôË«ÐÇÔ²ÖÜÔ˶¯µÄÔ²ÐIJ»ÔÚÁ¬ÏßµÄÖе㣬Ҫ²ÉÓøôÀë·¨Ñо¿£®
Ä꼶 | ¸ßÖÐ¿Î³Ì | Ä꼶 | ³õÖÐ¿Î³Ì |
¸ßÒ» | ¸ßÒ»Ãâ·Ñ¿Î³ÌÍƼö£¡ | ³õÒ» | ³õÒ»Ãâ·Ñ¿Î³ÌÍƼö£¡ |
¸ß¶þ | ¸ß¶þÃâ·Ñ¿Î³ÌÍƼö£¡ | ³õ¶þ | ³õ¶þÃâ·Ñ¿Î³ÌÍƼö£¡ |
¸ßÈý | ¸ßÈýÃâ·Ñ¿Î³ÌÍƼö£¡ | ³õÈý | ³õÈýÃâ·Ñ¿Î³ÌÍƼö£¡ |
¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¼ÆËãÌâ
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ
A£® | µçÈݼõС£¬¼«°åËù´øµçºÉÁ¿¼õС | B£® | µçÈݼõС£¬¼«°å¼äµçѹ²»±ä | ||
C£® | ¼«°å¼äµçѹ²»±ä£¬³¡Ç¿¼õС | D£® | ¼«°åËù´øµçºÉÁ¿²»±ä£¬³¡Ç¿²»±ä |
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ
A£® | AµãµÄµç³¡Ç¿¶È±ÈBµãµÄ´ó | |
B£® | ÖÐÐÄÖáÏßÉϸöµãµÄµç³¡Ç¿¶È·½ÏòÏò×ó | |
C£® | µç×ÓÓÉAµãÒÆÖÁBµã¿Ë·þµç³¡Á¦×ö¹¦0.17eV | |
D£® | µç×ÓÔÚAµãµÄµçÊÆÄܱÈBµÄС |
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ
A£® | a¡¢b¡¢cÈýµãµÄµç³¡Ç¿¶ÈÒ»Ñù´ó | |
B£® | a¡¢b¡¢cÈýµãµÄµçÊÆÒ»Ñù¸ß | |
C£® | ÊÔ̽µçºÉ´ÓaÒƵ½b£¬µç³¡Á¦Ò»¶¨×ö¹¦ | |
D£® | ´øµç²»Í¬µÄÊÔ̽µçºÉÔÚb¡¢cÁ½µãµÄµçÊÆÄÜ¿ÉÄÜÏàͬ |
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ
A£® | ×öÔȼÓËÙÖ±ÏßÔ˶¯£¬¼ÓËٶȴóСΪ10m/s2 | |
B£® | ×ö±ä¼ÓËÙÖ±ÏßÔ˶¯£®Æ½¾ù¼ÓËٶȴóСΪ5m/s2 | |
C£® | ×ö±ä¼ÓËÙÖ±ÏßÔ˶¯£¬2sÄ©¼ÓËٶȴóСΪ10m/s2 | |
D£® | 2sÄ©ËٶȴóСΪ10m/s |
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ
A£® | ¶¯ÄÜËðʧÁË2mgH | B£® | ÖØÁ¦×ö¹¦mgH | C£® | Ħ²ÁÁ¦×ö¹¦mgH | D£® | »úеÄÜËðʧÁËmgH |
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¼ÆËãÌâ
²é¿´´ð°¸ºÍ½âÎö>>
¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ
A£® | ¸ÃÎÀÐǵÄÖÜÆÚΪ24Сʱ | |
B£® | ¸ÃÎÀÐǾàÀëµØÃæµÄ¸ß¶È¿ÉÒԱ仯 | |
C£® | ¸ÃÎÀÐÇ¿ÉÄÜλÓÚ±±¾©µÄÕýÉÏ·½ | |
D£® | ¸ÃÎÀÐǵÄת¶¯·½ÏòÓëµØÇòµÄ×Ôת·½ÏòÏà·´ |
²é¿´´ð°¸ºÍ½âÎö>>
°Ù¶ÈÖÂÐÅ - Á·Ï°²áÁбí - ÊÔÌâÁбí
ºþ±±Ê¡»¥ÁªÍøÎ¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨Æ½Ì¨ | ÍøÉÏÓк¦ÐÅÏ¢¾Ù±¨×¨Çø | µçÐÅթƾٱ¨×¨Çø | ÉæÀúÊ·ÐéÎÞÖ÷ÒåÓк¦ÐÅÏ¢¾Ù±¨×¨Çø | ÉæÆóÇÖȨ¾Ù±¨×¨Çø
Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com