Question

Èçͼ¼×Ëùʾ£¬Ë®Æ½¼ÓËٵ糡µÄ¼ÓËÙµçѹΪU₀£¬ÔÚËüµÄÓÒ²àÓÐÓÉˮƽÕý¶Ô·ÅÖõÄƽÐнðÊô°åa¡¢b¹¹³ÉµÄƫתµç³¡£¬ÒÑ֪ƫתµç³¡µÄ°å³¤L=0.10 m£¬°å¼ä¾àÀëd=5.0¡Á10^-2 m£¬Á½°å¼ä½ÓÓÐÈçͼ15ÒÒËùʾµÄËæʱ¼ä±ä»¯µÄµçѹU£¬ÇÒa°åµçÊƸßÓÚb°åµçÊÆ¡£ÔÚ½ðÊô°åÓÒ²à´æÔÚÓнçµÄÔÈÇ¿´Å³¡£¬´Å³¡µÄ×ó±ß½çΪÓë½ðÊô°åÓÒ²àÖغϵÄÊúֱƽÃæMN£¬MNÓÒ²àµÄ´Å³¡·¶Î§×ã¹»´ó£¬´Å¸ÐӦǿ¶ÈB=5.0¡Á10^-3T£¬·½ÏòÓëƫתµç³¡Õý½»ÏòÀ´¹Ö±Ö½ÃæÏòÀ¡£ÖÊÁ¿ºÍµçºÉÁ¿¶¼ÏàͬµÄ´øÕýµçµÄÁ£×Ó´Ó¾²Ö¹¿ªÊ¼¾­¹ýµçѹU₀=50VµÄ¼ÓËٵ糡ºó£¬Á¬ÐøÑØÁ½½ðÊô°å¼äµÄÖÐÏßOO¡ä·½ÏòÉäÈëƫתµç³¡ÖУ¬ÖÐÏßOO¡äÓë´Å³¡±ß½çMN´¹Ö±¡£ÒÑÖª´øµçÁ£×ӵıȺÉ=1.0¡Á10⁸ C/kg£¬²»¼ÆÁ£×ÓËùÊܵÄÖØÁ¦ºÍÁ£×Ó¼äµÄÏ໥×÷ÓÃÁ¦£¬ºöÂÔƫתµç³¡Á½°å¼äµç³¡µÄ±ßԵЧӦ£¬ÔÚÿ¸öÁ£×Óͨ¹ýƫתµç³¡ÇøÓòµÄ¼«¶Ìʱ¼äÄÚ£¬Æ«×ªµç³¡¿ÉÊÓ×÷ºã¶¨²»±ä¡£

1.Çót=0ʱ¿ÌÉäÈëƫתµç³¡µÄÁ£×ÓÔڴų¡±ß½çÉϵÄÈëÉäµãºÍ³öÉäµã¼äµÄ¾àÀ룻

2.ÇóÁ£×Ó½øÈë´Å³¡Ê±µÄ×î´óËٶȣ»

3.¶ÔÓÚËùÓнøÈë´Å³¡ÖеÄÁ£×Ó£¬Èç¹ûÒªÔö´óÁ£×ÓÔڴų¡±ß½çÉϵÄÈëÉäµãºÍ³öÉäµã¼äµÄ¾àÀ룬Ӧ¸Ã²ÉÈ¡ÄÄЩ´ëÊ©£¿ÊÔ´ÓÀíÂÛÉÏÍÆÀí˵Ã÷¡£

 

Answer 1

 

1.0.40m

2.1.1¡Á10⁵m/s¡­

3.ÒªÔö´óÁ£×ÓÔڴų¡±ß½çÉϵÄÈëÉäµãºÍ³öÉäµã¼äµÄ¾àÀëx£¬Ó¦¸Ã¼õСÔÈÇ¿´Å³¡µÄ´Å¸ÐӦǿ¶ÈB£¬»òÔö´ó¼ÓËÙµçѹU₀

½âÎö:£¨1£©Éè¾­¹ý¼ÓËٵ糡¼ÓËÙºó£¬Á£×ÓµÄËÙ¶ÈΪv₀£¬¸ù¾Ý¶¯Äܶ¨ÀíÓÐ

£¬½âµÃv₀==1.0¡Á10⁵m/s¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­£¨1·Ö£©

ÓÉÓÚt=0ʱ¿Ìƫתµç³¡µÄ³¡Ç¿ÎªÁ㣬ËùÒÔ´ËʱÉäÈëƫתµç³¡µÄÁ£×Ó½«ÔÈËÙ´©¹ýµç³¡¶øÒÔv₀µÄËٶȴ¹Ö±´Å³¡±ß½ç½øÈë´Å³¡ÖУ¬Ôڴų¡ÖеÄÔ˶¯¹ì¼£Îª°ëÔ²¡£

ÉèÁ£×ÓÔڴų¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯µÄ°ë¾¶Îªr£¬ÓÉÂåÂØ×ÈÁ¦¹«Ê½ºÍÅ£¶ÙµÚ¶þ¶¨Âɵà

qv₀B=m¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­£¨1·Ö£©

½âµÃ r= ¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­£¨1·Ö£©

ËùÒÔÁ£×ÓÔڴų¡±ß½çÉϵÄÈëÉäµãºÍ³öÉäµã¼äµÄ¾àÀëd=2r =0.40m¡­¡­¡­¡­¡­¡­¡­£¨1·Ö£©

£¨2£©ÉèÁ£×ÓÒÔ×î´óƫתÁ¿À뿪ƫתµç³¡£¬¼´¹ì¼£¾­¹ý½ðÊô°åÓÒ²à±ßÔµ´¦£¬½øÈë´Å³¡Ê±a¡¢b°åµÄµçѹΪU_m£¬ÔòÁ£×Ó½øÈëƫתµç³¡ºó£¬¼ÓËÙ¶Èa=

ˮƽ·½Ïò L=v₀t

ÊúÖ±·½Ïò y==

½âµÃ U_m==25V<50V¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­£¨1·Ö£©

ËùÒÔ£¬µçѹU_m=25Vʱ¶ÔÓ¦Á£×Ó½øÈë´Å³¡µÄËÙ¶È×î´ó£¬Éè×î´óËٶȴóСΪv_m£¬·½ÏòÓëOO¡äµÄ¼Ð½ÇΪq£¬Ôò¶ÔÓÚÁ£×Óͨ¹ý¼ÓËٵ糡ºÍƫתµç³¡µÄ¹ý³Ì£¬¸ù¾Ý¶¯Äܶ¨ÀíÓР   qU₀+q=mv_m²

½âµÃ v_m==¡Á10⁵m/s=1.1¡Á10⁵m/s¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­£¨1·Ö£©

tanq==£¬¼´q=arctan¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­£¨1·Ö£©

£¨»òcosq==£¬¼´q=arccos£©

£¨ËµÃ÷£º¼ÆËã½á¹û´øÓиùºÅ£¬½á¹ûÕýÈ·µÄͬÑùµÃ·Ö£©

 

£¨3£©ÉèÈÎÒâʱ¿Ì½øÈë´Å³¡µÄÁ£×Ó£¬Æä½øÈë´Å³¡Ê±Ëٶȷ½ÏòÓëOO¡äµÄ¼Ð½ÇΪ¦Á£¬ÔòÆäËٶȴóС

Á£×ÓÔڴų¡ÖÐ×öÔ²ÖÜÔ˶¯µÄ¹ì¼£°ë¾¶ 

ÓÉÈçͼ´ðËùʾµÄ¼¸ºÎ¹Øϵ¿ÉÖª£¬Á£×ÓÔڴų¡±ß½çÉϵÄÈëÉäµãºÍ³öÉäµã¼äµÄ¾àÀë

¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­£¨1·Ö£©

ËùÒÔÒªÔö´óÁ£×ÓÔڴų¡±ß½çÉϵÄÈëÉäµãºÍ³öÉäµã¼äµÄ¾àÀëx£¬Ó¦¸Ã¼õСÔÈÇ¿´Å³¡µÄ´Å¸ÐӦǿ¶ÈB£¬»òÔö´ó¼ÓËÙµçѹU₀¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­¡­£¨2·Ö£©