Óë´òµã¼ÆʱÆ÷Ò»Ñù£¬¹âµç¼ÆʱÆ÷Ò²ÊÇÒ»ÖÖÑо¿ÎïÌåÔ˶¯Çé¿öµÄ³£ÓüÆʱÒÇÆ÷£¬Æä½á¹¹Èç×óͼËùʾ£¬a¡¢b·Ö±ðÊǹâµçÃŵļ¤¹â·¢ÉäºÍ½ÓÊÕ×°Ö㬵±ÓÐÎïÌå´Óa¡¢b¼äͨ¹ýʱ£¬¹âµç¼ÆʱÆ÷¾Í¿ÉÒÔÏÔʾÎïÌåͨ¹ýʱµÄµ²¹âʱ¼ä¡£

ΪÁ˲ⶨÁ½ÕÅÖ½Ö®¼äµÄ¶¯Ä¦²ÁÒòÊý£¬Ä³Í¬Ñ§ÀûÓùâµç¼ÆʱÆ÷Éè¼ÆÁËÒ»¸öʵÑ飺ÈçÉÏÓÒͼËùʾ£¬ÔÚСÌú¿éAºÍľ°åBÉÏÌùÉÏ´ý²âµÄÖ½£¬Ä¾°åBˮƽ¹Ì¶¨£¬Ç¦´¸Í¨¹ýϸÏߺÍСÌú¿éÏàÁ¬¡£lºÍ2Êǹ̶¨ÔÚľ°åÉÏÊʵ±Î»ÖõÄÁ½¸ö¹âµçÃÅ£¬ÓëÖ®Á¬½ÓµÄÁ½¸ö¹âµç¼ÆʱÆ÷ûÓл­³ö¡£ÊÍ·ÅǦ´¸£¬ÈÃСÌú¿éÔÚľ°åÉϼÓËÙÔ˶¯£¬¹âµçÃÅ1¡¢2¸÷×ÔÁ¬½ÓµÄ¼ÆʱÆ÷ÏÔʾµÄµ²¹âʱ¼ä·Ö±ðΪºÍ0.6¡Á10-2s¡£ÓÃÓα꿨³ß²âÁ¿Ð¡Ìú¿éµÄ¿í¶ÈdÈçÏÂͼËùʾ¡£

(1)¶Á³öСÌú¿éµÄ¿í¶Èd=                cm£®

(2)Ìú¿éͨ¹ý¹âµçÃÅlµÄËÙ¶Èv1=         m£¯s£¬Ìú¿éͨ¹ý¹âµçÃÅ2µÄËÙ¶Èv2=    m£¯s£®£¨¼ÆËã½á¹û±£Áô3λÓÐЧÊý×Ö£©

(3)ÒÑÖªµ±µØÖØÁ¦¼ÓËÙ¶ÈΪg£¬ÎªÍê³É²âÁ¿£¬³ýÁ˲âÁ¿v1 ¡¢v2ºÍÁ½¸ö¹âµçÃÅÖ®¼äµÄ¾àÀëLÍ⣬»¹Ðè²âÁ¿µÄÎïÀíÁ¿ÓÐ:             ¡¢            £®£¨ÓÃÎÄ×Ö˵Ã÷²¢ÓÃ×Öĸ±íʾ£©

(4)ÓÃ(3)Öи÷Á¿Çó½â¶¯Ä¦²ÁÒòÊýµÄ±í´ïʽ£º                   £¨ÓÃ×Öĸ±íʾ£©

 

¡¾´ð°¸¡¿

£¨1£©1.45  £¨2·Ö£©     £¨2£©0.725 £¬ 2.42 £¨Ã¿¿Õ1·Ö£©

£¨3£©Ìú¿éµÄÖÊÁ¿m¡¢Ç¦´¸µÄÖÊÁ¿M£¨Ã¿¿Õ1·Ö£©    

 £¨4£© £¨2·Ö£©

¡¾½âÎö¡¿ÂÔ

 

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

Óë´òµã¼ÆʱÆ÷Ò»Ñù£¬¹âµç¼ÆʱÆ÷Ò²ÊÇÒ»ÖÖÑо¿ÎïÌåÔ˶¯Çé¿öµÄ³£ÓüÆʱÒÇÆ÷£¬Æä½á¹¹ÈçͼËùʾ£¬a¡¢b·Ö±ðÊǹâµçÃŵļ¤¹â·¢ÉäºÍ½ÓÊÕ×°Ö㬵±ÓÐÎïÌå´Óa¡¢b¼äͨ¹ýʱ£¬¹âµç¼ÆʱÆ÷¾Í¿ÉÒÔÏÔʾÎïÌåµÄµ²¹âʱ¼ä£®
ÏÖÀûÓÃͼËùʾװÖÃÑéÖ¤»úеÄÜÊغ㶨ÂÉ£®Í¼ÖÐABÊǹ̶¨µÄ¹â»¬Ð±Ã棬бÃæµÄÇã½ÇΪ300£¬1ºÍ2Êǹ̶¨ÔÚбÃæÉÏÊʵ±Î»ÖõÄÁ½¸ö¹âµçÃÅ£¬ÓëËüÃÇÁ¬½ÓµÄ¹âµç¼ÆʱÆ÷¶¼Ã»Óл­³ö£®Èû¬¿é´ÓбÃæµÄ¶¥¶Ë»¬Ï£¬¹âµçÃÅ1¡¢2¸÷×ÔÁ¬½ÓµÄ¹âµç¼ÆʱÆ÷ÏÔʾµÄµ²¹âʱ¼ä·Ö±ðΪ5.00¡Á10-2s¡¢2.00¡Á10-2s£®ÒÑÖª»¬¿éÖÊÁ¿Îª2.00kg£¬»¬¿éÑØбÃæ·½ÏòµÄ¿í¶ÈΪ5.00cm£¬¹âµçÃÅ1ºÍ2Ö®¼äµÄ¾àÀëΪ0.540m£¬g=9.80m/s2£¬È¡»¬¿é¾­¹ý¹âµçÃÅʱµÄËÙ¶ÈΪÆäƽ¾ùËٶȣ®
¢Ù£®»¬¿éͨ¹ý¹âµçÃÅ1ʱµÄËÙ¶Èv1=
1.00
1.00
m/s£¬Í¨¹ý¹âµçÃÅ2ʱµÄËÙ¶È
v2=
2.50m/s
2.50m/s
m/s£º£¨È¡ÈýλÓÐЧÊý×Ö£©
¢Ú£®»¬¿éͨ¹ý¹âµçÃÅ1¡¢2Ö®¼äµÄ¶¯ÄÜÔö¼ÓÁ¿Îª
5.25J
5.25J
J£¬ÖØÁ¦ÊÆÄܵļõÉÙÁ¿Îª
5.29
5.29
J£®£¨È¡ÈýλÓÐЧÊý×Ö£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

£¨2011?½ð»ª¶þÄ££©Óë´òµã¼ÆʱÆ÷Ò»Ñù£¬¹âµç¼ÆʱÆ÷Ò²ÊÇÒ»ÖÖÑо¿ÎïÌåÔ˶¯Çé¿öµÄ³£ÓüÆʱÒÇÆ÷£¬Æä½á¹¹Èç×óͼËùʾ£¬a¡¢b·Ö±ðÊǹâµçÃŵļ¤¹â·¢ÉäºÍ½ÓÊÕ×°Ö㬵±ÓÐÎïÌå´Óa¡¢b¼äͨ¹ýʱ£¬¹âµç¼ÆʱÆ÷¾Í¿ÉÒÔÏÔʾÎïÌåͨ¹ýʱµÄµ²¹âʱ¼ä£®
ΪÁ˲ⶨÁ½ÕÅÖ½Ö®¼äµÄ¶¯Ä¦²ÁÒòÊý£¬Ä³Í¬Ñ§ÀûÓùâµç¼ÆʱÆ÷Éè¼ÆÁËÒ»¸öʵÑ飺ÈçÉÏÓÒͼËùʾ£¬ÔÚСÌú¿éAºÍľ°åBÉÏÌùÉÏ´ý²âµÄÖ½£¬Ä¾°åBˮƽ¹Ì¶¨£¬Ç¦´¸Í¨¹ýϸÏߺÍСÌú¿éÏàÁ¬£®lºÍ2Êǹ̶¨ÔÚľ°åÉÏÊʵ±Î»ÖõÄÁ½¸ö¹âµçÃÅ£¬ÓëÖ®Á¬½ÓµÄÁ½¸ö¹âµç¼ÆʱÆ÷ûÓл­³ö£®ÊÍ·ÅǦ´¸£¬ÈÃСÌú¿éÔÚľ°åÉϼÓËÙÔ˶¯£¬¹âµçÃÅ1¡¢2¸÷×ÔÁ¬½ÓµÄ¼ÆʱÆ÷ÏÔʾµÄµ²¹âʱ¼ä·Ö±ðΪ2.0¡Á10-2sºÍ0.6¡Á10-2s£®ÓÃÓα꿨³ß²âÁ¿Ð¡Ìú¿éµÄ¿í¶ÈdÈçÏÂͼËùʾ£®
£¨1£©¶Á³öСÌú¿éµÄ¿í¶Èd=
1.45
1.45
cm£®
£¨2£©Ìú¿éͨ¹ý¹âµçÃÅlµÄËÙ¶Èv1=
0.725
0.725
m/s£¬Ìú¿éͨ¹ý¹âµçÃÅ2µÄËÙ¶Èv2=
2.42
2.42
m/s£®£¨¼ÆËã½á¹û±£Áô3λÓÐЧÊý×Ö£©
£¨3£©ÒÑÖªµ±µØÖØÁ¦¼ÓËÙ¶ÈΪg£¬ÎªÍê³É²âÁ¿£¬³ýÁ˲âÁ¿v1¡¢v2ºÍÁ½¸ö¹âµçÃÅÖ®¼äµÄ¾àÀëLÍ⣬»¹Ðè²âÁ¿µÄÎïÀíÁ¿ÓУº
Ìú¿éµÄÖÊÁ¿m
Ìú¿éµÄÖÊÁ¿m
¡¢
Ǧ´¸µÄÖÊÁ¿M
Ǧ´¸µÄÖÊÁ¿M
£®£¨ÓÃÎÄ×Ö˵Ã÷²¢ÓÃ×Öĸ±íʾ£©
£¨4£©Óã¨3£©Öи÷Á¿Çó½â¶¯Ä¦²ÁÒòÊýµÄ±í´ïʽ£º¦Ì=
2MgL-(M+m)(
v
2
2
-
v
2
1
)
2mgL
2MgL-(M+m)(
v
2
2
-
v
2
1
)
2mgL
£¨ÓÃ×Öĸ±íʾ£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

£¨1£©Ê¹ÓÃǧ·Ö³ß²âÁ¿½ðÊôË¿µÄÖ±¾¶£¬Ê¾ÊýÈçͼ1Ëùʾ£¬½ðÊôË¿µÄÖ±¾¶Îª
0.260
0.260
mm£»ÓÃÓαêΪ50·Ö¶ÈµÄ¿¨³ß£¨²âÁ¿Öµ¿É׼ȷµ½0.02mm£©²â¶¨Ä³Ô²ÖùµÄÖ±¾¶Ê±£¬¿¨³ßÉϵÄʾÊýÈçͼ£®¿É¶Á³öÔ²ÖùµÄÖ±¾¶ÊÇ
52.12mm
52.12mm
£®
£¨2£©Óë´òµã¼ÆʱÆ÷Ò»Ñù£¬¹âµç¼ÆʱÆ÷Ò²ÊÇÒ»ÖÖÑо¿ÎïÌåÔ˶¯Çé¿öµÄ³£ÓüÆʱÒÇÆ÷£¬Æä½á¹¹Èçͼ2Ëùʾ£¬a¡¢b ·Ö±ðÊǹâµçÃŵļ¤¹â·¢ÉäºÍ½ÓÊÕ×°Ö㬵±ÓÐÎïÌå´Óa¡¢b¼äͨ¹ýʱ£¬¹âµç¼ÆʱÆ÷¾Í¿ÉÒÔÏÔʾÎïÌåµÄµ²¹âʱ¼ä£®ÏÖÀûÓÃͼ3ËùʾװÖÃÑéÖ¤»úеÄÜÊغ㶨ÂÉ£®Í¼3ÖÐABÊǹ̶¨µÄ¹â»¬Ð±Ã棬бÃæµÄÇã½ÇΪ30¡ã£¬1ºÍ2Êǹ̶¨ÔÚбÃæÉÏÊʵ±Î»ÖõÄÁ½¸ö¹âµçÃÅ£¬ÓëËüÃÇÁ¬½ÓµÄ¹âµç¼ÆʱÆ÷¶¼Ã»Óл­³ö£®Èû¬¿é´ÓбÃæµÄ¶¥¶Ë»¬Ï£¬¹âµçÃÅ1¡¢2¸÷×ÔÁ¬½ÓµÄ¹âµç¼ÆʱÆ÷ÏÔʾµÄµ²¹âʱ¼ä·Ö±ðΪ5.00¡Á10-2s¡¢2.00¡Á10-2s£®ÒÑÖª»¬¿éÖÊÁ¿Îª2.00kg£¬»¬¿éÑØбÃæ·½ÏòµÄ¿í¶ÈΪ5.00cm£¬¹âµçÃÅ1ºÍ2Ö®¼äµÄ¾àÀëΪ0.540m£¬g=9.80m/s2£¬È¡»¬¿é¾­¹ý¹âµçÃÅʱµÄËÙ¶ÈΪÆäƽ¾ùËٶȣ®
¢Ù»¬¿éͨ¹ý¹âµçÃÅ1ʱµÄËÙ¶Èv1=
1.00
1.00
 m/s£¬Í¨¹ý¹âµçÃÅ2ʱµÄËÙ¶Èv2=
2.50
2.50
 m/s£»
¢Ú»¬¿éͨ¹ý¹âµçÃÅ1¡¢2Ö®¼äµÄ¶¯ÄÜÔö¼ÓÁ¿Îª
5.25J
5.25J
 J£¬ÖØÁ¦ÊÆÄܵļõÉÙÁ¿Îª
5.29
5.29
 J£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÔĶÁÀí½â

£¨1£©¼×¡¢ÒÒ¡¢±û¡¢¶¡ËÄλͬѧÔÚʹÓò»Í¬¾«¶ÈµÄÓα꿨³ßºÍÂÝÐý²â΢Æ÷²âÁ¿Í¬Ò»¸öÎïÌåµÄ³¤¶Èʱ£¬·Ö±ð²âÁ¿µÄ½á¹ûÈçÏ£º
¼×ͬѧ£ºÊ¹ÓÃÓαêΪ50·Ö¶ÈµÄ¿¨³ß£¬¶ÁÊýΪ12.045cm
ÒÒͬѧ£ºÊ¹ÓÃÓαêΪ10·Ö¶ÈµÄ¿¨³ß£¬¶ÁÊýΪ12.04cm
±ûͬѧ£ºÊ¹ÓÃÓαêΪ20·Ö¶ÈµÄ¿¨³ß£¬¶ÁÊýΪ12.045cm
¶¡Í¬Ñ§£ºÊ¹Óþ«¶ÈΪ¡°0.01mm¡±µÄÂÝÐý²â΢Æ÷£¬¶ÁÊýΪ12.040mm
´ÓÕâЩʵÑéÊý¾ÝÖпÉÒÔ¿´³ö¶ÁÊý¿Ï¶¨ÓдíÎóµÄÊÇ
¼×
¼×
ͬѧ£®

£¨2£©Óë´òµã¼ÆʱÆ÷Ò»Ñù£¬¹âµç¼ÆʱÆ÷Ò²ÊÇÒ»ÖÖÑо¿ÎïÌåÔ˶¯Çé¿öµÄ³£ÓüÆʱÒÇÆ÷£¬Æä½á¹¹Èçͼ1Ëùʾ£¬a¡¢b ·Ö±ðÊǹâµçÃŵļ¤¹â·¢ÉäºÍ½ÓÊÕ×°Ö㬵±ÓÐÎïÌå´Óa¡¢b¼äͨ¹ýʱ£¬¹âµç¼ÆʱÆ÷¾Í¿ÉÒÔÏÔʾÎïÌåµÄµ²¹âʱ¼ä£®
ÏÖÀûÓÃͼ2ËùʾװÖÃÑéÖ¤»úеÄÜÊغ㶨ÂÉ£®Í¼ÖÐABÊǹ̶¨µÄ¹â»¬Ð±Ã棬бÃæµÄÇã½ÇΪ300£¬1ºÍ2Êǹ̶¨ÔÚбÃæÉÏÊʵ±Î»ÖõÄÁ½¸ö¹âµçÃÅ£¬ÓëËüÃÇÁ¬½ÓµÄ¹âµç¼ÆʱÆ÷¶¼Ã»Óл­³ö£®Èû¬¿é´ÓбÃæµÄ¶¥¶Ë»¬Ï£¬¹âµçÃÅ1¡¢2¸÷×ÔÁ¬½ÓµÄ¹âµç¼ÆʱÆ÷ÏÔʾµÄµ²¹âʱ¼ä·Ö±ðΪ5.00¡Á10-2s¡¢2.00¡Á10-2s£®ÒÑÖª»¬¿éÖÊÁ¿Îª2.00kg£¬»¬¿éÑØбÃæ·½ÏòµÄ¿í¶ÈΪ5.00cm£¬¹âµçÃÅ1ºÍ2Ö®¼äµÄ¾àÀëΪ0.540m£¬g=9.80m/s2£¬È¡»¬¿é¾­¹ý¹âµçÃÅʱµÄËÙ¶ÈΪÆäƽ¾ùËٶȣ®
¢Ù»¬¿éͨ¹ý¹âµçÃÅ1ʱµÄËÙ¶Èv1=
1.00
1.00
 m/s£¬Í¨¹ý¹âµçÃÅ2ʱµÄËÙ¶Èv2=
2.50
2.50
 m/s£»
¢Ú»¬¿éͨ¹ý¹âµçÃÅ1¡¢2Ö®¼äµÄ¶¯ÄÜÔö¼ÓÁ¿Îª
5.25
5.25
 J£¬ÖØÁ¦ÊÆÄܵļõÉÙÁ¿Îª
5.26
5.26
 J£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£ºÔĶÁÀí½â

£¨1£©ÔÚ×ö¡°ÓõçÁ÷±íºÍµçѹ±í²âÒ»½Ú¸Éµç³ØµÄµç¶¯ÊƺÍÄÚµç×衱ʵÑéʱ£º
¢ÙijͬѧÁ¬½ÓµÄʵÎïͼÈçͼ1Ëùʾ£®µ«µ±¿ª¹Ø±ÕºÏʱ·¢ÏÖµçѹ±íÓÐʾÊý¶øµçÁ÷±íûÓÐʾÊý£¬ÊµÑéÇ°ÒÇÆ÷¶¼¼ì²é¹ýÊǺõģ¬Ò²¾ÍÊÇ˵ֻ¿ÉÄÜÊÇij¸ùÁ¬½Óµ¼Ï߶ÏÁË£®ÄÇô£¬ÇëÄã·ÖÎöһϣ¬¿ÉÄÜ·¢Éú¶Ï·¹ÊÕϵĵ¼ÏßÊÇ
2¡¢5¡¢6
2¡¢5¡¢6
£¨Ð´³öËùÓпÉÄܶϵĵ¼ÏߵıàºÅ£©£®
¢ÚijͬѧÔÚʵÑéʱ¶Ô¸Ãµç·×÷Á˸Ľø£¬Æä·½·¨ÊÇ£º¼Ó½ÓÁËÒ»¸ö¶¨Öµµç×èR0£¬Èçͼ2Ëùʾ£®Ëû¼Ó½Ó´Ëµç×èµÄ×÷ÓÃÊÇ
·ÀÖ¹±ä×èÆ÷µç×è¹ýСʱ£¬µç³Ø±»¶Ì·»òµçÁ÷±í±»ÉÕ»µ
·ÀÖ¹±ä×èÆ÷µç×è¹ýСʱ£¬µç³Ø±»¶Ì·»òµçÁ÷±í±»ÉÕ»µ
£®
£¨2£©Óë´òµã¼ÆʱÆ÷Ò»Ñù£¬¹âµç¼ÆʱÆ÷Ò²ÊÇÒ»ÖÖÑо¿ÎïÌåÔ˶¯Çé¿öµÄ³£ÓüÆʱÒÇÆ÷£¬Æä½á¹¹ÈçͼËùʾ£¬a¡¢b·Ö±ðÊǹâµçÃŵļ¤¹â·¢ÉäºÍ½ÓÊÕ×°Ö㬵±ÓÐÎïÌå´Óa¡¢b¼äͨ¹ýʱ£¬¹âµç¼ÆʱÆ÷¾Í¿ÉÒÔÏÔʾÎïÌåͨ¹ýʱµÄµ²¹âʱ¼ä£®

ΪÁ˲ⶨÁ½ÕÅÖ½Ö®¼äµÄ¶¯Ä¦²ÁÒòÊý£¬Ä³Í¬Ñ§ÀûÓùâµç¼ÆʱÆ÷Éè¼ÆÁËÒ»¸öʵÑ飺ÈçÓÒͼËùʾ£¬ÔÚСÌú¿éAºÍľ°åBÉÏÌùÉÏ´ý²âµÄÖ½£¬Ä¾°åBˮƽ¹Ì¶¨£¬Ç¦´¸Í¨¹ýϸÏߺÍСÌú¿éÏàÁ¬£®1ºÍ2Êǹ̶¨ÔÚľ°åÉÏÊʵ±Î»ÖõÄÁ½¸ö¹âµçÃÅ£¬ÓëÖ®Á¬½ÓµÄÁ½¸ö¹âµç¼ÆʱÆ÷ûÓл­³ö£®ÊÍ·ÅǦ´¸£¬ÈÃСÌú¿éÔÚľ°åÉϼÓËÙÔ˶¯£¬¹âµçÃÅ1¡¢2¸÷×ÔÁ¬½ÓµÄ¼ÆʱÆ÷ÏÔʾµÄµ²¹âʱ¼ä·Ö±ðΪ2.0¡Á10-2sºÍ0.5¡Á10-2s£®ÓÃÓα꿨³ß²âÁ¿Ð¡Ìú¿éµÄ¿í¶ÈdÈçÏÂͼËùʾ£®

¢Ù¶Á³öСÌú¿éµÄ¿í¶Èd=
2.015
2.015
cm£®
¢ÚÌú¿éͨ¹ý¹âµçÃÅlµÄËÙ¶Èv1=
1.01
1.01
m/s£¬Ìú¿éͨ¹ý¹âµçÃÅ2µÄËÙ¶Èv2=
4.03
4.03
 m/s£®£¨¼ÆËã½á¹û±£Áô3λÓÐЧÊý×Ö£©
¢ÛÒÑÖªµ±µØµÄÖØÁ¦¼ÓËÙ¶ÈΪg£¬ÎªÍê³É²âÁ¿£¬³ýÁ˲âÁ¿v1¡¢v2ºÍÁ½¸ö¹âµçÃÅÖ®¼äµÄ¾àÀëLÍ⣬»¹Ðè²âÁ¿µÄÎïÀíÁ¿ÓУ¨ÓÃÎÄ×Ö˵Ã÷²¢ÓÃ×Öĸ±íʾ£©
Ìú¿éµÄÖÊÁ¿m¡¢Ç¦´¸µÄÖÊÁ¿M
Ìú¿éµÄÖÊÁ¿m¡¢Ç¦´¸µÄÖÊÁ¿M
£®
¢ÜÓâÛÖи÷Á¿Çó½â¶¯Ä¦²ÁÒòÊýµÄ±í´ïʽ£º¦Ì=
2MgL-(M+m)(
v
2
2
-
v
2
1
)
2mgL
2MgL-(M+m)(
v
2
2
-
v
2
1
)
2mgL
£¨ÓÃ×Öĸ±íʾ£©£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸