Question

18£®ÈçͼËùʾ£¬A¡¢BΪÁ½ÊúÖ±µÄ½ðÊô°å£¬C¡¢DΪÁ½Ë®Æ½·ÅÖõÄƽÐнðÊô°å£¬B°åµÄ¿ª¿ÚÇ¡ºÃÑØCDµÄÖзÖÏßOO¡ä£¬A¡¢B°å¼äµÄ¼ÓËÙµçѹU₁=2¡Á10⁶V£¬C¡¢D°å¼äËù¼ÓµçѹΪU₂=4¡Á10⁶V£¬Ò»¾²Ö¹µÄ̼Àë×Ó£¨m=2¡Á10^-26kg£¬q=3.2¡Á10^-19C£©£¬×ÔA°å¾­¼ÓËٵ糡¼ÓËÙºó£¬ÓÉB°åÓҶ˿ڽøÈëCD°å¼ä£¬ÆäÖÐC¡¢D°åµÄ³¤¶ÈL=2.4 m£¬Ì¼Àë×ÓÇ¡ºÃÑØD°åÓÒ±ßÔµ·É³ö£¬½øÈëEÓÒ²àÔÈÇ¿´Å³¡ÇøÓò£¬×îºóÔÚPµãÑØˮƽ·½Ïò·É³ö´Å³¡Çø£®ÒÑÖª´Å³¡µÄ´Å¸ÐӦǿ¶ÈB=1T£¬·½Ïò´¹Ö±Ö½ÃæÏòÀÇó£º
£¨1£©ÔÚƫתµç³¡ÖеÄÔ˶¯Ê±¼ä£»
£¨2£©Ì¼Àë×ÓÔÚD°åÓÒ±ßÔµ·É³öƫתµç³¡Ê±ËٶȵĴóС¼°·½Ïò£»
£¨3£©´Å³¡µÄ¿í¶È£®

Answer 1

·ÖÎö £¨1£©Ì¼Àë×ÓÔÚ¼ÓËٵ糡ÖУ¬µç³¡Á¦×ö¹¦ÎªqU₁£¬Óɶ¯Äܶ¨ÀíÇó³ö¼ÓËÙ»ñµÃµÄËÙ¶Èv₀£®Á£×Ó½øÈëƫתµç³¡ºó£¬×öÀàƽÅ×Ô˶¯£¬Ñؼ«°å·½Ïò×öÔÈËÙÖ±ÏßÔ˶¯£¬¿ÉÇóµÃʱ¼ä£®
£¨2£©¸ù¾Ý¶¯Äܶ¨ÀíÇó½âÀë×ӷɳöµç³¡Ê±µÄËٶȴóС£¬ÔÙÇó³öƫת½ÇµÄÕýÇУ¬Ôٵõ½Æ«×ª½Ç¦È£®
£¨3£©Çó³öÁ£×Ó½øÈë´Å³¡µÄËٶȣ¬×÷³öÁ£×ÓÔ˶¯¹ì¼££¬Ó¦ÓÃÅ£¶ÙµÚ¶þ¶¨ÂÉÇó¹ì¼£°ë¾¶£¬Óɼ¸ºÎ֪ʶÇó³ö´Å³¡µÄ¿í¶È£®

½â´ð ½â£º£¨1£©Éè̼Àë×Ó¾­¼ÓËٵ糡¼ÓËÙºóËÙ¶ÈΪv₀£¬¸ù¾Ý¶¯Äܶ¨Àí£ºqU₁=$\frac{1}{2}$mv₀²
½âµÃ£ºv₀=$\sqrt{\frac{2{U}_{1}q}{m}}$=$\sqrt{\frac{2¡Á2¡Á1{0}^{6}¡Á3.2¡Á1{0}^{-19}}{2¡Á1{0}^{-26}}}$=8.0¡Á10⁶m/s
̼Àë×ÓÔÚƫתµç³¡ÖÐÖ»Êܵ糡Á¦×÷Óã¬×öÀàƽÅ×Ô˶¯£®ÔÚˮƽ·½Ïò×öÔÈËÙÖ±ÏßÔ˶¯£¬Ôò
ÔÚƫתµç³¡ÖеÄÔ˶¯Ê±¼ä£ºt=$\frac{L}{{v}_{0}}$=$\frac{2.4}{8¡Á1{0}^{6}}$=3¡Á10^-7s
£¨2£©Éè̼Àë×ÓÔÚD°åÓÒ±ßÔµ·É³öƫתµç³¡Ê±ËٶȵĴóСΪv£¬Óëˮƽ·½ÏòµÄ¼Ð½ÇΪ¦È£®
¸ù¾Ý¶¯Äܶ¨ÀíµÃ $\frac{1}{2}m{v}^{2}$=qU₁+q$\frac{{U}_{2}}{2}$
´úÈëµÃ v=8$\sqrt{2}$¡Á10⁶m/s
Óɼ¸ºÎ¹ØϵµÃ cos¦È=$\frac{{v}_{0}}{v}$=$\frac{\sqrt{2}}{2}$£¬Ôò¦È=45¡ã
£¨3£©»­³öÀë×ÓÔڴų¡ÖеĹ켣°ë¾¶£¬Èçͼ£¬Ôò¹ì¼£°ë¾¶Îª r=$\frac{mv}{qB}$=$\frac{2¡Á1{0}^{-26}¡Á8\sqrt{2}¡Á1{0}^{6}}{3.2¡Á1{0}^{-19}¡Á1}$m=$\frac{\sqrt{2}}{2}$m
Óɼ¸ºÎ֪ʶµÃ£º´Å³¡µÄ¿í¶È d=rsin45¡ã=$\frac{1}{2}$m=0.5m
´ð£º
£¨1£©ÔÚƫתµç³¡ÖеÄÔ˶¯Ê±¼äÊÇ3¡Á10^-7s£»
£¨2£©Ì¼Àë×ÓÔÚD°åÓÒ±ßÔµ·É³öƫתµç³¡Ê±ËٶȵĴóСÊÇ8$\sqrt{2}$¡Á10⁶m/s£¬·½ÏòÓëˮƽ·½ÏòµÄ¼Ð½ÇΪ45¡ã£»
£¨3£©´Å³¡µÄ¿í¶ÈÊÇ0.5m£®

µãÆÀ ±¾ÌâÊÇ´øµçÁ£×ÓÔÚ×éºÏ³¡ÖÐÔ˶¯µÄÎÊÌ⣬¹Ø¼üÊÇ·ÖÎöÁ£×ÓµÄÊÜÁ¦Çé¿öºÍÔ˶¯Çé¿ö£¬ÓÃÁ¦Ñ§µÄ·½·¨´¦Àí£®