ÌâÄ¿ÄÚÈÝ
£¨2013?ËÉɽÇøÈýÄ££©ÈçͼËùʾ£¬ÔÚ¿Õ¼äÖдæÔÚ´¹Ö±Ö½ÃæÏòÀïµÄÔÈÇ¿´Å³¡£¬ÆäÊúÖ±±ß½çAB¡¢CDµÄ¿í¶ÈΪd£¬Ôڱ߽çAB×ó²àÊÇÊúÖ±ÏòÏ¡¢³¡Ç¿ÎªEµÄÔÈÇ¿µç³¡£®ÏÖÓÐÖÊÁ¿Îªm¡¢´øµçÁ¿Îª+qµÄÁ£×Ó£¨²»¼ÆÖØÁ¦£©´ÓPµãÒÔ´óСΪv0µÄˮƽ³õËÙ¶ÈÉäÈëµç³¡£¬ËæºóÓë±ß½çAB³É45¡ãÉäÈë´Å³¡£®ÈôÁ£×ÓÄÜ´¹Ö±CD±ß½ç·É³ö´Å³¡£¬´©¹ýС¿×½øÈëÈçͼËùʾÁ½ÊúֱƽÐнðÊô°å¼äµÄÔÈÇ¿µç³¡ÖмõËÙÖÁÁãÇÒ²»Åöµ½Õý¼«°å£®
£¨1£©Ç뻳öÁ£×ÓÉÏÊö¹ý³ÌÖеÄÔ˶¯¹ì¼££¬²¢Çó³öÁ£×Ó½øÈë´Å³¡Ê±µÄËٶȴóСv£»
£¨2£©ÇóÔÈÇ¿´Å³¡µÄ´Å¸ÐӦǿ¶ÈB£»
£¨3£©Çó½ðÊô°å¼äµÄµçѹUµÄ×îСֵ£®
£¨1£©Ç뻳öÁ£×ÓÉÏÊö¹ý³ÌÖеÄÔ˶¯¹ì¼££¬²¢Çó³öÁ£×Ó½øÈë´Å³¡Ê±µÄËٶȴóСv£»
£¨2£©ÇóÔÈÇ¿´Å³¡µÄ´Å¸ÐӦǿ¶ÈB£»
£¨3£©Çó½ðÊô°å¼äµÄµçѹUµÄ×îСֵ£®
·ÖÎö£º£¨1£©ÓÉÀàƽÅ×¼´¿ÉÇó³ö½øÈë´Å³¡Ê±µÄËٶȣ»
£¨2£©Á£×ÓÔÚÔÈÇ¿´Å³¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬Óɼ¸ºÎ¹ØϵÇó³öÔ˶¯°ë¾¶£¬ÂåÂ××ÈÁ¦ÌṩÏòÐÄÁ¦¼´¿ÉÈ¥³ý´Å³¡´óС£»
£¨3£©Óɶ¯Äܶ¨Àí¼´¿ÉÇó³öµçѹµÄ´óС£®
£¨2£©Á£×ÓÔÚÔÈÇ¿´Å³¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬Óɼ¸ºÎ¹ØϵÇó³öÔ˶¯°ë¾¶£¬ÂåÂ××ÈÁ¦ÌṩÏòÐÄÁ¦¼´¿ÉÈ¥³ý´Å³¡´óС£»
£¨3£©Óɶ¯Äܶ¨Àí¼´¿ÉÇó³öµçѹµÄ´óС£®
½â´ð£º½â£º£¨1£©¹ì¼£ÈçͼËùʾ£¬ÓÉÔ˶¯µÄºÏ³ÉÓë·Ö½â¿ÉÖª£»
v=
=
v0¡¢Ù
£¨2£©Á£×ÓÔÚÔÈÇ¿´Å³¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÓÉÔ˶¯¹ì¼£ºÍ¼¸ºÎ¹Øϵ
¿ÉÖªÆä¹ìµÀ°ë¾¶£ºR=
=
d¡¢Ú
ÓÖqvB=m
¡¢Û
ÁªÁ¢¢Ù¢Ú¢Û½âµÃ½âµÃ£ºB=
£¨3£©Éè½ðÊô°å¼äµÄ×îСµçѹΪU£¬Á£×Ó½øÈë°å¼äµç³¡ÖÁËٶȼõΪÁãµÄ¹ý³Ì£¬
Óɶ¯Äܶ¨ÀíÓУº-qU=0-
mv2
½âµÃ£ºU=
´ð£º£¨1£©Á£×Ó½øÈë´Å³¡Ê±µÄËٶȴóСvÊÇ
v0£»
£¨2£©ÔÈÇ¿´Å³¡µÄ´Å¸ÐӦǿ¶ÈBΪ
£»
£¨3£©½ðÊô°å¼äµÄµçѹUµÄ×îСֵΪ
£®
v=
v0 |
cos450 |
2 |
£¨2£©Á£×ÓÔÚÔÈÇ¿´Å³¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬ÓÉÔ˶¯¹ì¼£ºÍ¼¸ºÎ¹Øϵ
¿ÉÖªÆä¹ìµÀ°ë¾¶£ºR=
d |
sin450 |
2 |
ÓÖqvB=m
v2 |
R |
ÁªÁ¢¢Ù¢Ú¢Û½âµÃ½âµÃ£ºB=
mv0 |
qd |
£¨3£©Éè½ðÊô°å¼äµÄ×îСµçѹΪU£¬Á£×Ó½øÈë°å¼äµç³¡ÖÁËٶȼõΪÁãµÄ¹ý³Ì£¬
Óɶ¯Äܶ¨ÀíÓУº-qU=0-
1 |
2 |
½âµÃ£ºU=
m
| ||
q |
´ð£º£¨1£©Á£×Ó½øÈë´Å³¡Ê±µÄËٶȴóСvÊÇ
2 |
£¨2£©ÔÈÇ¿´Å³¡µÄ´Å¸ÐӦǿ¶ÈBΪ
mv0 |
qd |
£¨3£©½ðÊô°å¼äµÄµçѹUµÄ×îСֵΪ
mv02 |
q |
µãÆÀ£º´øµçÁ£×ÓÔÚµç´Å³¡ÖеÄÔ˶¯Òª°ÑÎÕÆäÔ˶¯¹æÂÉ£¬Ôڴų¡ÖÐÈ·¶¨Ô²ÐÄ£¬»³öÔ˶¯¹ì¼££¬Òª×¢ÒâÕÒ³öÏàÓ¦µÄ¼¸ºÎ¹Øϵ£¬ÄѶÈÊÊÖУ®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿