Question

13£®£¨¹©Ñ¡Ñ§ÎïÀí3-1µÄ¿¼Éú×ö£©
ÈçͼÊÇÖÊÆ×ÒǵŤ×÷Ô­ÀíʾÒâͼ£®ÆäÖÐËÙ¶ÈÑ¡ÔñÆ÷ÄڵĴų¡Óëµç³¡Ï໥´¹Ö±£¬´Å³¡µÄ´Å¸ÐӦǿ¶ÈΪB1£¬·½Ïò´¹Ö±Ö½ÃæÏòÀÁ½¼«°å¼äµÄ¾àÀëΪd£¬Í¨¹ýµ÷½ÚÁ½¼«°å¼äµÄµçÊƲ¿Éʹ²»Í¬ËٶȵĴøµçÁ£×ÓÑØÖ±Ïßͨ¹ýËÙ¶ÈÑ¡ÔñÆ÷£®´øµçÁ£×Óͨ¹ýËÙ¶ÈÑ¡ÔñÆ÷Ö®ºó£¬´ÓOµã´¹Ö±Óڴų¡·½ÏòÉäÈë´Å¸ÐӦǿ¶ÈΪB2µÄÔÈÇ¿´Å³¡£¬¾­Àú°ë¸öÔ²ÖÜ´òÔÚÕÕÏàµ×ƬÉÏ£®Ò»ÊøµçºÉÁ¿¾ùΪqµÄ´øµçÁ£×ÓÉäÈëËÙ¶ÈÑ¡ÔñÆ÷£¬µ±Á½¼«°å¼äµÄµçÊƲîΪUʱ£¬Ò»²¿·ÖÁ£×Ó´òµ½ÕÕÏàµ×ƬµÄAµã£»µ±Á½¼«°å¼äµÄµçÊƲîΪ3UÊÇ£¬ÁíÒ»²¿·ÖÁ£×Ó´òµ½ÕÕÏàµ×ƬµÄCµã£®¾­¹ý²âÁ¿O¡¢AÖ®¼äµÄ¾àÊÇA¡¢CÖ®¼äµÄ¾àÀëµÄÁ½±¶£®²»¼ÆÁ£×ÓÖØÁ¦£®Çó£º
£¨1£©ÉÏÊöÁ½²¿·ÖÁ£×ÓµÄËÙ¶ÈÖ®±È£»
£¨2£©ÉÏÊöÁ½²¿·ÖÁ£×ÓµÄÖÊÁ¿Ö®±È£®

Answer 1

·ÖÎö £¨1£©Á£×ÓÔÚËÙ¶ÈÑ¡ÔñÆ÷ÖÐ×öÔÈËÙÖ±ÏßÔ˶¯£¬ÓÉƽºâÌõ¼þÇó³öËٶȣ¬È»ºóÇó³öËÙ¶ÈÖ®±È£®
£¨2£©Á£×ÓÔڴų¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÂåÂ××ÈÁ¦ÌṩÏòÐÄÁ¦£¬ÓÉÅ£¶ÙµÚ¶þ¶¨ÂÉ¿ÉÒÔÇó³öÖÊÁ¿Ö®±È£®

½â´ð ½â£º£¨1£©Á£×ÓÔÚËÙ¶ÈÑ¡ÔñÆ÷ÖÐ×öÔÈËÙÖ±ÏßÔ˶¯£¬
ÓÉƽºâÌõ¼þµÃ£ºq$\frac{U}{d}$=qv_AB₁£¬q$\frac{3U}{d}$=qv_CB₁£¬
½âµÃ£º$\frac{{v}_{A}}{{v}_{B}}$=$\frac{1}{3}$£»
£¨2£©O¡¢AÖ®¼äµÄ¾àÊÇA¡¢CÖ®¼äµÄ¾àÀëµÄÁ½±¶£¬
ÔòÁ£×ӵĹìµÀ°ë¾¶Ö®±È£º$\frac{{R}_{A}}{{R}_{B}}$=$\frac{2}{3}$£¬
Á£×ÓÔڴų¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÂåÂ××ÈÁ¦ÌṩÏòÐÄÁ¦£¬
ÓÉÅ£¶ÙµÚ¶þ¶¨Âɵãºqv_AB₂=m_A$\frac{{v}_{A}^{2}}{{R}_{A}}$£¬qv_CB₂=m_C$\frac{{v}_{C}^{2}}{{R}_{C}}$£¬
½âµÃ£º$\frac{{m}_{A}}{{m}_{B}}$=$\frac{2}{1}$£»
´ð£º£¨1£©ÉÏÊöÁ½²¿·ÖÁ£×ÓµÄËÙ¶ÈÖ®±ÈΪ1£º3£»
£¨2£©ÉÏÊöÁ½²¿·ÖÁ£×ÓµÄÖÊÁ¿Ö®±ÈΪ2£º1£®

µãÆÀ ±¾Ì⿼²éÁËÇóÁ£×ÓµÄËÙ¶ÈÖ®±È¡¢ÖÊÁ¿Ö®±È£¬Ó¦ÓÃƽºâÌõ¼þ¡¢Å£¶ÙµÚ¶þ¶¨ÂÉ¿ÉÒÔÕýÈ·½âÌ⣮