24СʱÈÈÃŰæ¿éÅÅÐаñ    

²é¿´: 1941  |  »Ø¸´: 0

zzhhxxqq

гæ (³õÈëÎÄ̳)

[½»Á÷] Ò»¸öеÄÄÜÁ¿¹«Ê½

×÷Õß ÕÅÏéǰ
±¾ÎÄ´óд×ÖĸΪʸÁ¿¡£
Ò»¸öÖÊÁ¿ÎªmµÄ»ð³µÏà¶ÔÓÚÎÒÃǵØÃæµÄ¹Û²âÕßÒÔÔÈËÙ¶ÈV¡¾VµÄÊýÁ¿Îªv¡¿Ö±ÏßÔ˶¯£¬µØÃæµÄ¹Û²âÕßÈÏΪÕâ¸ö»ð³µÓж¯ÄÜ
1/2 mv2 £¬¶ø»ð³µÉϵĹ۲âÕßÈÏΪ»ð³µµÄËÙ¶ÈΪÁ㣬Òò¶ø¶¯ÄÜΪÁã¡£ËùÒÔ½²£¬ÏÖ´úÎïÀíѧÈÏΪ¶¯ÄÜÏà¶ÔÓÚ²»Í¬µÄ²Î¿¼ÏµÊDz»ÊغãµÄ£¬Ò»¸öÎïÌå¾ßÓе͝ÄÜÔÚ²»Í¬µÄ¹Û²âÕß¿´À´ÊDz»Ò»ÑùµÄ¡£
    µ«ÊÇ£¬Í³Ò»³¡ÂÛ¡¾°Ù¶È ͳһ³¡ÂÛ5°æ£¨ÉÏ£©¡¿ÓÐ×Ų»Í¬µÄ¿´·¨¡£Í³Ò»³¡ÂÛÈÏΪһ¸öÎïÌå¾ßÓÐÄÜÁ¿ÔÚÏ໥Ô˶¯µÄ¹Û²âÕß¿´À´ÊýÁ¿ÊÇÒ»ÑùµÄ£¬ÄÜÁ¿¶ÔÓÚ²»Í¬µÄ²Î¿¼ÏµÈÔÈ»ÊÇÊØºãµÄ¡£²»Í¬µÄ¹Û²ìÕß¿´µ½µÄÖ»ÊÇÁ£×ÓÔ˶¯ÐÎʽÓÐËù²»Í¬£¬¶øÁ£×Ó×ܵÄÄÜÁ¿ÊDz»±äµÄ¡£
ͳһ³¡ÂÛÈÏΪÈκÎÒ»¸öÏà¶ÔÓÚÎÒÃǹ۲âÕß¾²Ö¹µÄÁ£×Ó£¬¶¼²»ÊÇÕæÕýµÄ¾²Ö¹£¬¶øÊÇÒÔ¹âËÙÔÚ´©Ô½¿Õ¼äÔ˶¯£¬ÎÒÃǹ۲âÕßÒ²¿ÉÒÔÈÏΪÕâ¸öÏà¶ÔÓÚÎÒÃǾ²Ö¹µÄÁ£×ÓÖÜΧµÄ¿Õ¼äʱʱ¿Ì¿ÌÒÔ¹âËÙ¶ÈC¡¾±¾ÎÄÈÏΪ¹âËÙ¿ÉÒÔΪʸÁ¿¡¿ÔÚÏòÍâ·øÉäÔ˶¯¡£
    Òò¶øÈÎÒâÒ»¸öÏà¶ÔÓÚÎÒÃǾ²Ö¹µÄÖÊÁ¿Îªm¡¯µÄÁ£×Óoµã£¬Í³Ò»³¡ÂÛÈÏΪ¶¼ÓÐÒ»¸ö¾²Ö¹¶¯Á¿m¡¯C£¬µ±oµãÏà¶ÔÓÚÎÒÃǹ۲âÕßÒÔÔÈËÙ¶ÈVÖ±ÏßÔ˶¯Ê±ºò£¬Ïà¶ÔÂÛºÍͳһ³¡ÂÛÈÏΪ¶¼ÈÏΪoµãÖÜΧ¿Õ¼äµÄ¹âËÙÔ˶¯Ïà¶ÔÓÚÎÒÃǹ۲ìÕßûÓб仯£¬µ«ÊÇÏà¶ÔÓÚoµãµÄËÙ¶ÈÖ»ÄÜÊÇC - V,ÒòΪֻÓÐC ¨C VºÍVºÏ³ÉºóÈÔÈ»ÊǹâËÙ¡£ÔÚVµÄ·½ÏòÉϹâËٶȵıêÁ¿c²»±ä£¬µ«ÊÇ£¬ÔÚVµÄ´¹Ö±·½ÏòÉÏ£¬¹âËٶȵıêÁ¿c±ä³ÉÁË¡Ì(c2- v2),д³ÉʸÁ¿ÐÎʽÊÇC - V¡£
ÕâÑù£¬Í³Ò»³¡ÂÛ¶¯Á¿¹«Ê½Ê¸ÎªÁ¿Ê½P = m(C-V)£¬Æä±êÁ¿ÐÎʽΪ£º
p = m¡¯c = mc¡Ì(1- v2/c2)
    ¶ÔÉÏʽ·½³ÌÁ½±ß³ËÒÔ¹âËÙc£¬ÎªÍ³Ò»³¡ÂÛÄÜÁ¿·½³Ì£¬Ò»ÖÖеÄÄÜÁ¿·½³Ì£º
e  = m¡¯c2 = mc2¡Ì(1- v2/c2)
m¡¯c2ΪoµãµÄ¾²Ö¹ÄÜÁ¿£¬Õâ¸öºÍÏà¶ÔÂ۵Ŀ´·¨Ò»Ö£¬mc2¡Ì(1- v2/c2)ΪoµãÒÔËÙ¶ÈvÔ˶¯µÄʱºòµÄÄÜÁ¿£¬Õâ¸öºÍÏà¶ÔÂ۵Ŀ´·¨ÉÔÉÔ²»Í¬£¬Ïà¶ÔÂÛÈÏΪoµãÒÔËÙ¶ÈÔ˶¯µÄʱºòÄÜÁ¿Îªmc2£¬ÕâÑùÏà¶ÔÂÛÈÏΪoµã¾²Ö¹Ê±ºòµÄÄÜÁ¿m¡¯c2ºÍÒÔËÙ¶ÈvÔ˶¯µÄʱºòÄÜÁ¿mc2ÊDz»Ò»ÑùµÄ¡£
¶øÍ³Ò»³¡ÂÛÈÏΪoµãÒÔËÙ¶ÈvÔ˶¯µÄʱºòÄÜÁ¿mc2¡Ì(1- v2/c2)ºÍ¾²Ö¹ÄÜÁ¿m¡¯c2ÊÇÏàµÈµÄ£¬Í³Ò»³¡ÂÛÕâÖÖ¿´·¨±íÃ÷ÖʵãÄÜÁ¿µÄÁ¿±ØÐëÏà¶ÔÓÚÒ»¸öÈ·¶¨µÄ¹Û²ìÕß²ÅÓÐÒâÒ壬oµã¾²Ö¹µÄ¹Û²ìÕß·¢ÏÖoµãÄÜÁ¿Îªm¡¯c2£¬ºÍoµãÒÔËÙ¶ÈvÔ˶¯µÄ¹Û²ìÕß·¢ÏÖoµãÄÜÁ¿Îªmc2¡Ì(1- v2/c2)£¬ÎÞÂÛÄÄÒ»¸ö¹Û²ìÕß¶¼²»¿ÉÄܹ۲쵽oµãÄÜÁ¿Îªmc2¡£
ͳһ³¡ÂÛÇ¿µ÷Á˲»Í¬µÄ¹Û²âÕߣ¬¿´µ½ÁËÄÜÁ¿Óв»Í¬µÄ±íÏÖÐÎʽ£¬¶ø×ܵÄÄÜÁ¿µÄÊýÁ¿Óë¹Û²âÕßÎ޹أ¬ÕâÖÖ¹ÛµãÓ¦¸Ã±ÈÏà¶ÔÂ۵Ĺ۵ãÒªºÏÀíһЩ¡£
   Í³Ò»³¡ÂÛÄÜÁ¿·½³ÌºÍ¾­µäÁ¦Ñ§µÄ¶¯Äܹ«Ê½ÓÐʲô¹ØÏµÄØ£¿
   ¾­µäÁ¦Ñ§ÈÏΪ£¬Ò»¸öÖÊÁ¿ÎªmµÄÖʵãoµãÏà¶ÔÓÚÎÒÃǹ۲âÕßÒÔËÙ¶ÈV¡¾ÊýÁ¿Îªv¡¿Ô˶¯Ê±ºò£¬ÔÚÎÒÃǹ۲âÕß¿´À´£¬¾ßÓж¯ÄÜ ek = 1/2 mv2¡£
½«Í³Ò»³¡ÂÛÄÜÁ¿·½³Ì
e = mc2¡Ì(1- v2/c2)
ÖСÌ(1- v2/c2)Óü¶ÊýÕ¹¿ªÎª1- v2/2c2+•••••
ÂÔÈ¥ºóÃæµÄ¸ß´ÎÏ
e ¡Ö mc2- mv2/2c2
ÓÉe = m¡¯c2¿ÉÖªem¡¯c2¡Ö mc2- mv2/2c2£¬Õâ¸ö±íÃ÷¾­µä¶¯ÄÜek = 1/2 mv2ÊÇÎïÌåÒÔËÙ¶ÈvÔ˶¯µÄʱºòÒýÆð¾²Ö¹ÄÜÁ¿·¢Éú±ä»¯µÄ±ä»¯Á¿¡£
ÒÔÉϵÄÄÜÁ¿¹«Ê½e  = m¡¯c2 = mc2¡Ì(1- v2/c2)ÖÐ
e = mc2¡Ì(1- v2/c2)ΪÆÕ±éµÄÄÜÁ¿·½³Ì£¬ÒòΪµ±ËÙ¶ÈvΪÁãµÄʱºò£¬·½³Ìe = mc2¡Ì(1- v2/c2)ת»¯Îªe  = m¡¯c2 ¡£
¶ÔÓÚ¹â×Ó£¬¿ÉÒÔÈÏΪÆä¶¯ÄÜek = mc2,ÕâÑù£¬
mc2-ek = m¡¯c2 = 0
¹â×ӵľ²Ö¹ÖÊÁ¿ÎªÁ㣬¾²Ö¹ÄÜÁ¿ÎªÁ㣬ֻÓÐÔ˶¯ÄÜÁ¿mc2¡£
Ò»¸öÏà¶ÔÓÚÎÒÃǹ۲âÕß¾²Ö¹µÄÖʵãÖÊÁ¿Îªm¡¯£¬ Ïà¶ÔÂÛÈÏΪÓÐÒ»¸ö¾²Ö¹ÄÜÁ¿E = m¡¯ c2£¬Òâ˼ÊÇÖ¸Õâ¸öÖʵãÖÜΧnÌõ¼¸ºÎµãµÄ¹âËÙµÄÆ½·½£¬nµÄ´óСȡ¾öÖÊÁ¿m¡¯¡£
    ͳһ³¡ÂÛ¸ø³öÄÜÁ¿µÄ¶¨Ò壺
    ÄÜÁ¿ÊÇÖʵãÔÚ¿Õ¼äÖС¾»òÕßÖʵãÖÜΧ¿Õ¼ä±¾Éí¡¿Ïà¶ÔÓÚÎÒÃǹ۲ìÕßÔÚij¸ö¿Õ¼ä·¶Î§ÄÚ¡¾ÓÉÓÚʱ¿Õͬһ»¯£¬Ò²¿ÉÒÔ˵ÔÚijһ¸öʱ¼ä¶ÎÄÚ¡¿Ô˶¯µÄÔ˶¯Á¿¡£
     ¿Õ¼ä¡¢ÎïÖʵ㡢¹Û²âÕß¡¢Ô˶¯ËĸöÌõ¼þÒ»¸ö¶¼²»ÄÜÉÙ£¬·ñÔò£¬ÄÜÁ¿¾ÍʧȥÁËÒâÒå¡£µ¥¶À´æÔÚ×ÅÖʵ㣬µ¥¶À´æÔÚ×ſռ䶼ûÓÐÄÜÁ¿£¬Ã»Óй۲ìÕߣ¬»òÕßûÓÐÖ¸Ã÷ÄÄÒ»¸ö¹Û²ìÕߣ¬ÄÜÁ¿¾Í²»ÄÜÈ·¶¨¡£
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ zzhhxxqq µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] Ò»Ö¾Ô¸¶«»ª´óѧ»¯Ñ§070300£¬Çóµ÷¼Á +7 2117205181 2026-03-21 8/400 2026-03-22 22:55 by chixmc
[¿¼ÑÐ] 291 Çóµ÷¼Á +3 »¯¹¤2026½ì±ÏÒµÉ 2026-03-21 3/150 2026-03-22 14:26 by ColorlessPI
[¿¼ÑÐ] 0856²ÄÁÏר˶353Çóµ÷¼Á +4 NIFFFfff 2026-03-20 4/200 2026-03-22 09:49 by 2026paper
[¿¼ÑÐ] ¡¾¿¼Ñе÷¼Á¡¿»¯Ñ§×¨Òµ 281·Ö£¬Ò»Ö¾Ô¸ËÄ´¨´óѧ£¬³ÏÐÄÇóµ÷¼Á +11 ³Ô³Ô³Ô²ÅÓÐÒâÒå 2026-03-19 11/550 2026-03-21 18:23 by ѧԱ8dgXkO
[¿¼ÑÐ] 336Çóµ÷¼Á +5 rmc8866 2026-03-21 5/250 2026-03-21 17:24 by ѧԱ8dgXkO
[¿¼ÑÐ] ²ÄÁÏÓ뻯¹¤£¨0856£©304Çó BÇø µ÷¼Á +3 Çñgl 2026-03-21 3/150 2026-03-21 13:47 by lature00
[¿¼ÑÐ] 083200ѧ˶321·ÖÒ»Ö¾Ô¸ôßÄÏ´óѧÇóµ÷¼Á +3 innocenceF 2026-03-17 3/150 2026-03-21 02:35 by JourneyLucky
[¿¼ÑÐ] 332Çóµ÷¼Á +4 ydfyh 2026-03-17 4/200 2026-03-21 02:20 by JourneyLucky
[¿¼ÑÐ] 22408 344·Ö Çóµ÷¼Á Ò»Ö¾Ô¸ »ªµç¼ÆËã»ú¼¼Êõ +4 solanXXX 2026-03-20 4/200 2026-03-20 23:49 by alg094825
[¿¼ÑÐ] 295Çóµ÷¼Á +4 Ò»Ö¾Ô¸¾©Çø211 2026-03-18 6/300 2026-03-20 23:41 by JourneyLucky
[¿¼ÑÐ] 308Çóµ÷¼Á +3 °¢½ã°¢½ã¼Ò°¡ 2026-03-18 3/150 2026-03-20 23:24 by JourneyLucky
[¿¼ÑÐ] 288Çóµ÷¼Á +16 ÓÚº£º£º£º£ 2026-03-19 16/800 2026-03-20 22:28 by JourneyLucky
[¿¼ÑÐ] 0817 »¯Ñ§¹¤³Ì 299·ÖÇóµ÷¼Á ÓпÆÑо­Àú ÓжþÇøÎÄÕ +22 rare12345 2026-03-18 22/1100 2026-03-20 20:39 by zhukairuo
[¿¼ÑÐ] Ò»Ö¾Ô¸¼ªÁÖ´óѧ²ÄÁÏѧ˶321Çóµ÷¼Á +11 Ymlll 2026-03-18 15/750 2026-03-20 19:40 by ¶¡¶¡*
[¿¼ÑÐ] 085410È˹¤ÖÇÄÜר˶317Çóµ÷¼Á£¨0854¶¼¿ÉÒÔ£© +4 xbxudjdn 2026-03-18 4/200 2026-03-20 09:07 by ²»168
[¿¼ÑÐ] 0854¿É¿çµ÷¼Á£¬Ò»×÷Ò»ÏîºËÐÄÂÛÎÄÎåÏîרÀû£¬Ê¡¡¢¹ú¼¶Ö¤Êé40+ÊýÒ»Ó¢Ò»287 +8 СÀî0854 2026-03-16 8/400 2026-03-18 14:35 by ²«»÷518
[¿¼²©] 26²©Ê¿ÉêÇë +3 1042136743 2026-03-17 3/150 2026-03-17 23:30 by ÇáËɲ»ÉÙËæ
[¿¼ÑÐ] 085601Çóµ÷¼Á +4 Du.11 2026-03-16 4/200 2026-03-17 17:08 by ruiyingmiao
[¿¼ÑÐ] ÓÐûÓеÀÌú/ÍÁľµÄÏëµ÷¼ÁÄÏÁÖ£¬¸ø×Ô¼ºÕÐʦµÜÖС« +3 TqlXswl 2026-03-16 7/350 2026-03-17 15:23 by TqlXswl
[¿¼ÑÐ] Ò»Ö¾Ô¸ÄϾ©´óѧ£¬080500²ÄÁÏ¿ÆÑ§Ó빤³Ì£¬µ÷¼Á +4 Jy? 2026-03-16 4/200 2026-03-17 11:02 by gaoqiong
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û