Question

13£®ÈçͼËùʾ£¬ÔÚÒÔ×ø±êÔ­µãOΪԲÐÄ£¬°ë¾¶ÎªRµÄ°ëÔ²ÐÎÇøÓòÄÚÓÐÏ໥´¹Ö±µÄÔÈÇ¿µç³¡ºÍÓнçµÄÔÈÇ¿´Å³¡£¬´Å³¡·½Ïò´¹Ö±ÓÚxOyƽÃæÏòÀ´óСΪB£¬±ß½çÔ²°ë¾¶ÎªR£®Ò»´øÕýµçµÄÁ£×Ó£¨²»¼ÆÖØÁ¦£©´ÓOµãÑØyÖáÕý·½ÏòÒÔijһËÙ¶ÈÉäÈ룬´øµçÁ£×ÓÇ¡ºÃ×öÔÈËÙÖ±ÏßÔ˶¯£¬¾­t₀ʱ¼ä´ÓPµãÉä³ö£®
£¨1£©Çóµç³¡Ç¿¶ÈµÄ´óСºÍ·½Ïò
£¨2£©Èô½ö³·È¥µç³¡£¬¸Ã´øµçÁ£×ÓÈÔ´ÓOµãÒÔÔ­ËÙ¶ÈÉäÈ룬²¢´ÓAµãÉä³ö£¬Çó´øµçÁ£×ÓµÄÖʺɱȣ¨$\frac{m}{q}$£©¼°ÆäÔڴų¡ÖÐÔ˶¯µÄʱ¼ä£®

Answer 1

·ÖÎö £¨1£©Á£×Ó×öÔÈËÙÖ±ÏßÔ˶¯£¬ÓÉƽºâÌõ¼þ¿ÉÒÔÇó³öµç³¡Ç¿¶È£®
£¨2£©Á£×ÓÔڴų¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÂåÂ××ÈÁ¦ÌṩÏòÐÄÁ¦£¬Ó¦ÓÃÅ£¶ÙµÚ¶þ¶¨ÂÉ¿ÉÒÔÇó³öÖÊÁ¿ÓëµçºÉÖ®±È£¬Çó³öÁ£×ÓµÄÔ˶¯Ê±¼ä£®

½â´ð ½â£º£¨1£©ÓÉÓÚÁ£×ÓÔÈËÙÖ±ÏßÔ˶¯£¬Óɹ²µãÁ¦Æ½ºâÌõ¼þÓУºqE=qv₀B£¬
ÓÉÔÈËÙÖ±ÏßÔ˶¯Î»Òƹ«Ê½ÓУºR=v₀t₀£¬
½âµÃ£ºE=$\frac{RB}{{t}_{0}}$£¬·½ÏòÑØxÖáÕýÏò£®
£¨2£©³·È¥µç³¡ºó´øµçÁ£×ÓÔڴų¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÓÉ£¨1£©¿ÉÖª£ºv₀=$\frac{R}{{t}_{0}}$£¬
ÓÉÌâÒâ¿ÉÖª£¬Á£×Ó¹ìµÀ°ë¾¶£ºr=$\frac{1}{2}$R£¬
ÓÉÅ£¶ÙµÚ¶þ¶¨Âɵãºqv₀B=m$\frac{{v}_{0}^{2}}{r}$£¬
½âµÃ£º$\frac{m}{q}$=$\frac{B{t}_{0}}{2}$£»
´øµçÁ£×ÓÔڴų¡ÖÐÔ˶¯Ê±¼ä£ºt=$\frac{¦Ðr}{{v}_{0}}$=$\frac{¦Ð¡Á\frac{1}{2}R}{\frac{R}{{t}_{0}}}$=$\frac{¦Ð{t}_{0}}{2}$£»
´ð£º£¨1£©µç³¡Ç¿¶ÈµÄ´óСΪ£º$\frac{RB}{{t}_{0}}$£¬·½ÏòÑØxÖáÕýÏò£®
£¨2£©´øµçÁ£×ÓµÄÖʺɱÈ$\frac{m}{q}$Ϊ$\frac{B{t}_{0}}{2}$£¬ÆäÔڴų¡ÖÐÔ˶¯µÄʱ¼äΪ$\frac{¦Ð{t}_{0}}{2}$£®

µãÆÀ ±¾Ì⿼²éÁËÇóµç³¡Ç¿¶È¡¢ÖÊÁ¿ÓëµçºÉÖ®±È¡¢Á£×ÓµÄÔ˶¯Ê±¼ä£¬·ÖÎöÇå³þÁ£×ÓÔ˶¯¹ý³Ì£¬Ó¦ÓÃƽºâÌõ¼þ¡¢Å£¶ÙµÚ¶þ¶¨Âɼ´¿ÉÕýÈ·½âÌ⣮