3£®Ë«ÐÇϵͳÓÉÁ½¿ÅºãÐÇ×é³É£¬Á½ºãÐÇÔÚÏ໥ÒýÁ¦µÄ×÷ÓÃÏ£¬ÒÔÆäÁ¬ÏßÉϵÄijһµãΪԲÐÄ×öÖÜÆÚÏàͬµÄÔÈËÙÔ²ÖÜÔ˶¯£®ÂÞÅÌ×ùTÊÇÓÉÒ»¿Å°×°«ÐǺÍËüµÄÀàÈÕ°éÐÇ×é³ÉµÄË«ÐÇϵͳ£¬ÓÉÓÚ°×°«ÐDz»Í£µÄÎüÊÕÓÉÀàÈÕ°éÐÇÅ׳öµÄÎïÖʶøʹ×ÔÉíÖÊÁ¿²»¶ÏÔö¼Ó£¬Í¬Ê±Ë«ÐǼä¾à»ºÂýÔö´ó£¬ÒÔÏÂÕýÈ·µÄ£¨¡¡¡¡£©
A£®Ë«ÐÇϵͳµÄ¹ìµÀÔ²ÐÄ»áÏòÀàÈÕ°éÐÇ¿¿½ü
B£®Á½ÐÇÌå¼äµÄÍòÓÐÒýÁ¦Ò»¶¨¼õС
C£®ÈôÁ½ÐÇÌåµÄ×ÜÖÊÁ¿²»±ä£¬Ë«ÐÇϵͳÔËÐÐÖÜÆÚ»áËæ¼ä¾àÔö´ó¶øÔö´ó
D£®ÈôÁ½ÐÇÌåµÄ×ÜÖÊÁ¿²»±ä£¬Ë«ÐÇϵͳÔËÐÐÖÜÆÚ»áËæ¼ä¾àÔö´ó¶ø¼õС

·ÖÎö ×é³ÉµÄË«ÐÇϵͳµÄÖÜÆÚTÏàͬ£¬¸ù¾ÝÍòÓÐÒýÁ¦¶¨ÂÉÌṩÏòÐÄÁ¦£º$G\frac{{M}_{1}{M}_{2}}{{L}^{2}}={M}_{1}\frac{4{¦Ð}^{2}}{{T}^{2}}{R}_{1}={M}_{2}\frac{4{¦Ð}^{2}}{{T}^{2}}{R}_{2}$£®ÍƵ¼ÖÜÆÚÒÔ¼°¹ìµÀ°ë¾¶ÓëʲôÒòËØÓйأ®¸ù¾ÝÍòÓÐÒýÁ¦¶¨Âɹ«Ê½£¬·ÖÎöÁ½ÐǼäÍòÓÐÒýÁ¦µÄ±ä»¯£®

½â´ð ½â£ºA¡¢×é³ÉµÄË«ÐÇϵͳµÄÖÜÆÚTÏàͬ£¬Éè°×°«ÐÇÓëÀàÈÕ°éÐǵÄÖÊÁ¿·Ö±ðΪM1ºÍM2£¬Ô²ÖÜÔ˶¯µÄ°ë¾¶·Ö±ðΪR1ºÍR2£¬ÓÉÍòÓÐÒýÁ¦¶¨ÂÉÌṩÏòÐÄÁ¦£º$G\frac{{M}_{1}{M}_{2}}{{L}^{2}}={M}_{1}\frac{4{¦Ð}^{2}}{{T}^{2}}{R}_{1}={M}_{2}\frac{4{¦Ð}^{2}}{{T}^{2}}{R}_{2}$£¬¿ÉµÃ$\frac{{M}_{1}}{{M}_{2}}=£¨\frac{{R}_{2}}{{R}_{1}}£©^{2}$£¬ÓÉÓÚM1²»¶ÏÔö´ó£¬M2²»¶Ï¼õС£¬¹ÊR2Ôö´ó£¬R1¼õС£¬¼´Ë«ÐÇϵͳµÄ¹ìµÀÔ²ÐÄ»áÏò°×°«ÐÇ¿¿½ü£¬¹ÊA´íÎó£®
B¡¢Á½ÐÇÌåÖ®¼äµÄÍòÓÐÒýÁ¦Îª$F=G\frac{{M}_{1}{M}_{2}}{{L}^{2}}$£¬¸ù¾ÝÊýѧ֪ʶ¿ÉÖªµ±M1=M2ʱ£¬M1M2×î´ó£¬ÌâÄ¿ÖÐÖ»ÊÇ˵˫ÐǼä¾à»ºÂýÔö´ó£¬¹ÊÓпÉÄÜMM1M2µÄÔö´ó´óÓÚLµÄÔö´ó£¬¹ÊÓпÉÄÜÁ½ÐÇÌåÖ®¼äµÄÒýÁ¦Ôö´ó£¬¹ÊB´íÎó£®
CD¡¢¸ù¾Ý$G\frac{{M}_{1}{M}_{2}}{{L}^{2}}={M}_{1}\frac{4{¦Ð}^{2}}{{T}^{2}}{R}_{1}$¿ÉµÃ£¬${M}_{2}=\frac{4{¦Ð}^{2}{L}^{2}}{{T}^{2}}{R}_{1}$
¸ù¾Ý$G\frac{{M}_{1}{M}_{2}}{{L}^{2}}={M}_{2}\frac{4{¦Ð}^{2}}{{T}^{2}}{R}_{2}$¿ÉµÃ£¬${M}_{1}=\frac{4{¦Ð}^{2}{L}^{2}}{{T}^{2}}{R}_{2}$
ËùÒÔ${M}_{1}+{M}_{2}=\frac{4{¦Ð}^{2}{L}^{2}}{{T}^{2}}£¨{R}_{1}+{R}_{2}£©$=$\frac{4{¦Ð}^{2}{L}^{3}}{{T}^{2}}$
µ±M1+M2²»±äʱ£¬LÔö´ó£¬ÔòTÔö´ó£¬¼´Ë«ÐÇϵͳÔËÐÐÖÜÆÚ»áËæ¼ä¾àÔö´ó¶øÔö´ó£¬¹ÊCÕýÈ·¡¢D´íÎó£®
¹ÊÑ¡£ºC£®

µãÆÀ ½â¾ö±¾ÌâµÄ¹Ø¼üÖªµÀ×é³ÉµÄË«ÐÇϵͳµÄÖÜÆÚTÏàͬ£¬ÒÔ¼°ÕÆÎÕÍòÓÐÒýÁ¦ÌṩÏòÐÄÁ¦$G\frac{{M}_{1}{M}_{2}}{{L}^{2}}={M}_{1}\frac{4{¦Ð}^{2}}{{T}^{2}}{R}_{1}={M}_{2}\frac{4{¦Ð}^{2}}{{T}^{2}}{R}_{2}$£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

7£®ÈçͼËùʾ£¬¹â»¬Ë®Æ½¸ËPQ¹Ì¶¨Ôڹ⻬ˮƽµØÃæMNÕýÉÏ·½£¬Ð¡ÇòA¡¢B´©Ì×ÔÚ¸ËÉÏ£¬Ð¡ÇòB¡¢C¼äµÄÇáÖÊÏðƤ½îÇ¡ºÃ´¦ÓÚÊúÖ±¡¢ÎÞµ¯Á¦×´Ì¬£®¿ªÊ¼Ê±£¬Ð¡Çò¾ù¾²Ö¹£¬ÏÖ¸øÓèСÇòAһ˲ʱ³åÁ¿IÈÃA»ñµÃˮƽÏòÓÒµÄËٶȣ¬ÓëB·¢ÉúÅöײºóºÏΪһ¸öÕûÌ嵫²»Õ³Á¬£¬´ËºóÔ˶¯¹ý³ÌÖÐСÇòCʼÖÕ¶¼Ã»ÓÐÀ뿪µØÃ森ÒÑÖªA¡¢B¡¢CµÄÖÊÁ¿·Ö±ðΪm¡¢2m¡¢3m£¬ÏðƤ½îûÓг¬³öµ¯ÐÔÏ޶ȣ¬PQ¡¢MN×ã¹»³¤£®Çó£º
£¨1£©A¡¢BÅöײºóµÄËٶȴóС£»
£¨2£©ÔÚÏðƤ½îµÚÒ»´ÎÉ쳤µÄ¹ý³ÌÖУ¬×î´óµÄµ¯ÐÔÊÆÄÜ£»
£¨3£©B¿ªÊ¼Ô˶¯ºó£¬×î´óµÄËٶȴóС£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º¶àÑ¡Ìâ

8£®ÖÊÁ¿ÎªmµÄСÇò£¬ÓÃÒ»¸ùÇáÉþϵÔÚOµã£¬ÔÚÊúֱƽÃæÄÚ×ö°ë¾¶ÎªRµÄÔ²ÖÜÔ˶¯£¬Ð¡Çòµ½´ï×î¸ßµãʱµÄËÙ¶ÈΪv1£¬µ½´ï×îµÍµãʱµÄËٶȱäΪv2£¬Á½µãËٶȴóСµÄ¹ØϵΪv2=$\sqrt{4gR+{{v}_{1}}^{2}}$£¬Ôò£¨¡¡¡¡£©
A£®×îµÍµãµÄËٶȵÄ×îСֵΪ$\sqrt{4gR}$
B£®×îµÍµãµÄËٶȵÄ×îСֵΪ$\sqrt{5gR}$
C£®×îµÍµãºÍ×î¸ßµãϸÉþÕÅÁ¦µÄ²îÖµÊÇ6mg
D£®×îµÍµãºÍ×î¸ßµãϸÉþÕÅÁ¦µÄ²îÖµÊÇ5mg

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

5£®Ò»Á¾ÖÊÁ¿m=2.0tµÄС½Î³µ£¬Ê»¹ý°ë¾¶R=90mµÄÒ»¶ÎÔ²»¡ÐÎÇÅÃ棬Çó£¨g=10m/s2£©
£¨1£©ÈôÇÅÃæΪ°¼ÐΣ¬Æû³µÒÔ20m/sµÄËÙ¶Èͨ¹ýÇÅÃæ×îµÍµãʱ£¬¶ÔÇÅÃæµÄѹÁ¦ÊǶà´ó£¿
£¨2£©ÈôÇÅÃæΪ͹ÐΣ¬Æû³µÒÔ10m/sµÄËÙ¶Èͨ¹ýÇÅÃæ×î¸ßµãʱ£¬¶ÔÇÅÃæµÄѹÁ¦ÊǶà´ó£¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

12£®ÈçͼËùʾ£¬ÊúÖ±ÏòÉÏÅ׳öÖÊÁ¿ÎªmµÄСÇò£¬Ð¡ÇòÉÏÉýµÄ×î´ó¸ß¶ÈΪh£¬ÉÏÉýºÍϽµ¹ý³ÌÖУ¬¿ÕÆø×èÁ¦µÄ´óС¾ùΪF£¬Ôò´ÓÅ׳öÖÁ»Øµ½³ö·¢µãµÄ¹ý³ÌÖУ¬ÖØÁ¦¶ÔСÇò×öµÄ¹¦Îª¶àÉÙ£¿¿ÕÆø×èÁ¦¶ÔСÇò×öµÄ¹¦Îª¶àÉÙ£¿

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

8£®¹ØÓÚÔÈËÙÔ²ÖÜÔ˶¯£¬ÒÔÏÂ˵·¨ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÔÈËÙÔ²ÖÜÔ˶¯ÊÇÔÈËÙÔ˶¯
B£®ÔÈËÙÔ²ÖÜÔ˶¯ÊÇÔȱäËÙÇúÏßÔ˶¯
C£®ÔÈËÙÔ²ÖÜÔ˶¯v¡¢¦Ø¡¢T¡¢f¶¼ÊǺãÁ¿
D£®ÔÈËÙÔ²ÖÜÔ˶¯¦Ø¡¢T¡¢f¶¼ÊǺãÁ¿£¬v·½Ïòʱ¿Ì¸Ä±ä

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

15£®Ò»Çá¸ËÒ»¶Ë¹Ì¶¨ÖÊÁ¿ÎªmµÄСÇò£¬ÒÔÁíÒ»¶ËOΪԲÐÄ£¬Ê¹Ð¡ÇòÔÚÊúֱƽÃæÄÚ×÷°ë¾¶ÎªRµÄÔ²ÖÜÔ˶¯£¬ÈçͼËùʾ£¬Ôò£¨¡¡¡¡£©
A£®Ð¡Çò¹ý×î¸ßµãʱ£¬¸ËËùÊܵ¯Á¦¿ÉÒÔΪÁã
B£®Ð¡Çò¹ý×î¸ßµãʱµÄ×îСËÙ¶ÈÊÇ$\sqrt{gR}$
C£®Ð¡Çò¹ý×î¸ßµãʱ£¬¸Ë¶ÔÇòµÄ×÷ÓÃÁ¦¿ÉÒÔÓëÇòËùÊÜÖØÁ¦·½ÏòÏà·´£¬´ËʱÖØÁ¦Ò»¶¨´óÓڸ˶ÔÇòµÄ×÷ÓÃÁ¦
D£®Ð¡Çò¹ý×î¸ßµãʱ£¬¸Ë¶ÔÇòµÄ×÷ÓÃÁ¦Ò»¶¨¸úСÇòËùÊÜÖØÁ¦µÄ·½ÏòÏà·´

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º½â´ðÌâ

12£®ÈçͼËùʾ£¬´¹Ö±ÓÚÖ½ÃæÏòÀïµÄÔÈÇ¿´Å³¡£¬Æä´Å¸ÐӦǿ¶È´óСËæʱ¼äµÄ±ä»¯ÂÊΪ$\frac{¡÷B}{¡÷t}$=k£¬kΪ¸ºµÄ³£Á¿£®Óõç×èÂÊΪ¦Ñ¡¢ºá½ØÃæ»ýΪSµÄÓ²µ¼Ïß×ö³ÉÒ»±ß³¤ÎªlµÄ·½¿ò£®½«·½¿ò¹Ì¶¨ÓÚÖ½ÃæÄÚ£¬ÆäÓҰ벿·ÖλÓڴų¡ÇøÓòÖУ®Çó£º
£¨1£©µ¼ÏßÖиÐÓ¦µçÁ÷µÄ´óС£®
£¨2£©´Å³¡¶Ô·½¿ò×÷ÓÃÁ¦µÄ´óСËæʱ¼äµÄ±ä»¯ÂÊ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÑ¡ÔñÌâ

13£®ÖÊÁ¿Îª1kgµÄÎïÌåÔÚˮƽÃæÖ±½Ç×ø±êϵÄÚÔ˶¯£¬ÒÑÖªÁ½»¥Ïà´¹Ö±·½ÏòÉϵÄËÙ¶Èһʱ¼äͼÏóÈçͼ¼×¡¢ÒÒËùʾ£®ÏÂÁÐ˵·¨Öв»ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
A£®ÖʵãµÄ³õËÙ¶ÈΪ4m/s
B£®ÖʵãËùÊܵĺÏÍâÁ¦Îª3N
C£®2sÄ©ÖʵãËٶȴóСΪ10m/s
D£®Öʵã³õËٶȵķ½ÏòÓëºÏÍâÁ¦·½Ïò´¹Ö±

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸