Question

8£®ÈçͼËùʾ£¬×ø±êƽÃæµÄµÚ¢ñÏóÏÞÄÚ´æÔÚ·½ÏòˮƽÏò×óµÄÔÈÇ¿µç³¡£¬µÚ¢ôÏóÏÞÄÚÓÐÁ½¸ö¼«°åM¡¢N¡¢ÖʺɱÈΪ$\frac{m}{q}$=4¡Á10^-20kg/CµÄ´øÕýµçÁ£×Ó£¬ÔÚM¼«°å±íÃæ´¦¾­M¡¢N¼ä¼ÓËٵ糡¼ÓËٺ󣬴ÓxÖáÉϵÄAµãÒÔ³õËÙ¶Èv₀=2¡Á10⁷m/s´¹Ö±xÖáÉäÈëµç³¡£¬OA=0.2m£¬Ö®ºóÁ£×ÓÒÔÓëyÖáÕý·½Ïò³É60¡ã½Ç½øÈëµÚ¢òÏóÏÞ£¬ÎªÁËʹ¸ÃÁ£×ÓÄÜ´ÓCµã´¹Ö±ÓÚxÖá½øÈëµÚ¢óÏóÏÞ£¬¿ÉÔÚÊʵ±µÄµØ·½¼ÓÒ»¸ö´¹Ö±ÓÚxOyƽÃæ¡¢´Å¸ÐӦǿ¶È´óСΪB=0.16TµÄÔÈÇ¿´Å³¡£¬Èô´Ë´Å³¡½ö·Ö²¼ÔÚÒ»¸öÔ²ÐÎÇøÓòÄÚ£®Á£×ÓÖØÁ¦²»¼Æ£®Çó£º
£¨1£©M¡¢NÁ½¼«°åÖ®¼äµÄµçÊƲ
£¨2£©µÚ¢ñÏóÏÞÄÚµÄÔÈÇ¿µç³¡µÄµç³¡Ç¿¶È´óС£»
£¨3£©Ô²Ðδų¡µÄ×îС°ë¾¶ºÍÁ£×ÓÔڴ˴ų¡ÖÐÔ˶¯µÄʱ¼ä£®

Answer 1

·ÖÎö £¨1£©¶ÔÁ£×ÓÓÉMµ½N¹ý³ÌÓɶ¯Äܶ¨Àí¿ÉÇóµÃÁ½°å¼äµÄµçÊƲ
£¨2£©Á£×ÓÔڵ糡ÖÐ×öÀàƽÅ×Ô˶¯£¬ÓÉÔ˶¯µÄºÏ³ÉºÍ·Ö½â¿ÉÇóµÃµç³¡Ç¿¶È£»
£¨3£©Á£×ÓÔڴų¡ÖÐ×öÔ²ÖÜÔ˶¯£¬Óɼ¸ºÎ¹Øϵ¼°ÂåÂØ×ÈÁ¦³äµ±ÏòÐÄÁ¦¿ÉÃ÷È·Ô²ÐĺͰ뾶£¬²¢Çó³öÁ£×ÓÔڴų¡ÖÐÔ˶¯µÄʱ¼ä£®

½â´ð ½â£º£¨1£©Á£×Ó´ÓMµ½NÓɶ¯Äܶ¨ÀíÓУº
Uq=$\frac{1}{2}$mv₀²
½âµÃ£ºMNÁ½¼«°åÖ®¼äµÄµçÊƲîU=8¡Á10⁴V£»
£¨2£©Á£×Ó½øÈëµç³¡ºó×öƽÅ×Ô˶¯£¬ÔÚyÖáÉÏÓУº
v_y=v₀
v_x=v_ytan60¡ã=$\sqrt{3}$£»
½âµÃ£ºv₀=2$\sqrt{3}$¡Á107m/s£»
ÔÚxÖá·½ÏòÉÏÓУºv_x²=2a$\overline{OA}$
ÓÉÅ£¶ÙµÚ¶þ¶¨ÂÉÓУº
Eq=ma
½âµÃ£ºE=1.2¡Á10⁶V/m£»
£¨3£©ÉèÁ£×Ó½øÈë´Å³¡×öÔ²ÖÜÔ˶¯µÄ°ë¾¶ÎªR£¬
ÓÉÅ£¶ÙµÚ¶þ¶¨ÂÉÓУº
Bqv=m$\frac{{v}^{2}}{R}$
v=2v₀
½âµÃ£ºR=0.1m
Ô²Ðδų¡µÄ×îС°ë¾¶Îªr=Rcos30¡ã=$\frac{\sqrt{3}}{20}$m
Á£×ÓÔڴų¡ÖÐÔ˶¯Ê±¼ät=$\frac{T}{3}$=$\frac{2¦Ðm}{3Bq}$=5.23¡Á10^-9s
´ð£º£¨1£©M¡¢NÁ½¼«°åÖ®¼äµÄµçÊƲîΪ8¡Á10⁴V£»
£¨2£©µÚ¢ñÏóÏÞÄÚµÄÔÈÇ¿µç³¡µÄµç³¡Ç¿¶È´óСΪ1.2¡Á10⁶V/m£»
£¨3£©Ô²Ðδų¡µÄ×îС°ë¾¶$\frac{\sqrt{3}}{20}$m£»Á£×ÓÔڴ˴ų¡ÖÐÔ˶¯µÄʱ¼ä5.23¡Á10^-9s

µãÆÀ ±¾Ì⿼²é´øµçÁ£×ÓÔÚµç´Å³¡ÖеÄÔ˶¯£¬Òª×¢ÒâÃ÷È·Á£×ÓÔڵ糡ÖеÄÔ˶¯Ö÷ҪӦΪÔ˶¯µÄºÏ³ÉÓë·Ö½â£»¶øÔڴų¡ÖÐÔòÖ÷ÒªÒÀ¿¿ÂåÂØ×ÈÁ¦³äµ±ÏòÐÄÁ¦£»ÀûÓü¸ºÎ¹ØϵÇó½â£®