ÌâÄ¿ÄÚÈÝ

£¨1£©£¨6·Ö£©Ä³Í¬Ñ§ÀûÓùâµçÃÅ´«¸ÐÆ÷Éè¼ÆÁËÒ»¸öÑо¿Ð¡ÎïÌå×ÔÓÉÏÂÂäʱ»úеÄÜÊÇ·ñÊغãµÄʵÑ飬ʵÑé×°ÖÃÈçͼËùʾ£¬Í¼ÖÐA¡¢BÁ½Î»Ö÷ֱð¹Ì¶¨ÁËÁ½¸ö¹âµçÃÅ´«¸ÐÆ÷£®ÊµÑéʱ²âµÃСÎïÌåÉÏ¿í¶ÈΪdµÄµ²¹âƬͨ¹ýAµÄµ²¹âʱ¼äΪt1£¬Í¨¹ýBµÄµ²¹âʱ¼äΪt2£®ÎªÁËÖ¤Ã÷СÎïÌåͨ¹ýA¡¢BʱµÄ»úеÄÜÏàµÈ£¬»¹ÐèÒª½øÐÐһЩʵÑé²âÁ¿ºÍÁÐʽ֤Ã÷£®

¢Ù(µ¥Ñ¡)Ñ¡³öÏÂÁл¹ÐèÒªµÄʵÑé²âÁ¿²½Öè

A£®ÓÃÌìƽ²â³öÔ˶¯Ð¡ÎïÌåµÄÖÊÁ¿m

B£®²â³öA¡¢BÁ½´«¸ÐÆ÷Ö®¼äµÄÊúÖ±¾àÀëh

C£®²â³öСÎïÌåÊÍ·ÅʱÀë×ÀÃæµÄ¸ß¶ÈH

D£®ÓÃÃë±í²â³öÔ˶¯Ð¡ÎïÌåͨ¹ýA¡¢BÁ½´«¸ÐÆ÷µÄʱ¼ä¡÷t

¢ÚÈô¸ÃͬѧÓÃdºÍtµÄ±ÈÖµÀ´·´Ó³Ð¡ÎïÌå¾­¹ýA¡¢B¹âµçÃÅʱµÄËٶȣ¬²¢ÉèÏëÈç¹ûÄÜÂú×ã________________________¹Øϵʽ£¬¼´ÄÜÖ¤Ã÷ÔÚ×ÔÓÉÂäÌå¹ý³ÌÖÐСÎïÌåµÄ»úеÄÜÊÇÊغãµÄ£®

£¨2£©£¨12·Ö£©¢ÙΪ²âÁ¿Ä³µç×èË¿RµÄµç×èÖµ£¬Ä³Í¬Ñ§ÓöàÓõç±í´Ö²âÆäµç×裮ÓÃÒѾ­µ÷ÁãÇÒÑ¡Ôñ¿ª¹ØÖ¸ÏòÅ·Ä·µ²¡°¡Á10¡±µµÎ»µÄ¶àÓõç±í²âÁ¿£¬·¢ÏÖÖ¸ÕëµÄƫת½Ç¶ÈÌ«´ó£¬ÕâʱËûÓ¦½«Ñ¡Ôñ¿ª¹Ø»»³ÉÅ·Ä·µ²µÄ¡°   ¡¡¡¡¡±µµÎ»(Ñ¡Ìî¡°¡Á100¡±»ò¡°¡Á1¡±)£¬È»ºó½øÐР          £¬ÔٴβâÁ¿µç×èË¿µÄ×èÖµ£¬Æä±íÅ̼°Ö¸ÕëËùָλÖÃÈçÓÒͼËùʾ£¬Ôò´Ë¶Îµç×èË¿µÄµç×èΪ       ¦¸£®

 

¢ÚÈçͼËùʾ£¬Ó÷ü°²·¨²âµçÔ´µç¶¯ÊƺÍÄÚ×èµÄʵÑéÖУ¬ÔÚµç·ÖнÓÒ»×èֵΪ2¦¸µÄµç×èR0£¬Í¨¹ý¸Ä±ä»¬¶¯±ä×èÆ÷£¬µÃµ½¼¸×éµç±íµÄʵÑéÊý¾Ý£º

U£¨V£©

1.2

1.0

0.8

0.6

I£¨A£©

0.10

0.17

0.23

0.30

I£®R0µÄ×÷ÓÃÊÇ                    £»

II£®ÓÃ×÷ͼ·¨ÔÚ×ø±êϵÉÏ×÷³öU-IͼÏߣ»

III£®ÀûÓÃͼÏߣ¬²âµÃµç¶¯ÊÆE=         V£¬ÄÚ×èr =        ¦¸¡£(½á¹û±£ÁôÁ½Î»ÓÐЧÊý×Ö)

 

¡¾´ð°¸¡¿

£¨1£© ¢Ù  B (3·Ö)    ¢Ú (d/t2)2£­(d/t1)2£½2gh   £¨3·Ö£©

£¨2£©¢Ù ¡Á1 (1·Ö)    Å·Ä·µ÷Áã   (1·Ö)   12»ò12.1¦¸(2·Ö)   

¢ÚI£®±£»¤µçÔ´¡¢µç±í£¬·ÀÖ¹¶Ì·£»£¨2·Ö£©

II£®×÷ͼ£»£¨2·Ö£©£¨Ã»ÓÐÓÃÖ±³ß²»¸ø·Ö£©

III£®1.4~1.6    0.67~1.3  £¨Ã¿¿Õ1·Ö£©

¡¾½âÎö¡¿ÂÔ

 

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
£¨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£©
Ïñ´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£®ÎªÁ˲ⶨÁ½ÕÅÖ½Ö®¼äµÄ¶¯Ä¦²ÁÒòÊý£¬Ä³Í¬Ñ§ÀûÓùâµç¼ÆʱÆ÷Éè¼ÆÁËÒ»¸öÊÔÑ飺Èçͼ2Ëùʾ£¬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¡Á10-2sºÍ0.5¡Á10-2s£®ÓÃÓα꿨³ß²âÁ¿Ð¡Ìú¿éµÄ¿í¶ÈdÈçͼ3Ëùʾ£®

¢Ù¶Á³öСÌú¿éµÄ¿í¶Èd=
2.105
2.105
cm£®
¢ÚÌú¿éͨ¹ý¹âµçÃÅlµÄËÙ¶Èv1=
1.01
1.01
m/s£¬Ìú¿éͨ¹ý¹âµçÃÅ2µÄËÙ¶Èv2=
4.03
4.03
m/s£®£¨¼ÆËã½á¹ûСÊýµãºó±£Áô2λÓÐЧÊý×Ö£©
¢ÛÒÑÖªµ±µØµÄÖØÁ¦¼ÓËÙ¶ÈΪg£¬ÎªÍê³É²âÁ¿£¬³ýÁËÑо¿v1¡¢v2ºÍÁ½¸ö¹âµçÃÅÖ®¼äµÄ¾àÀëLÍ⣬ÓÃÎÄ×Ö˵Ã÷»¹Ðè²âÁ¿µÄÎïÀíÁ¿²¢ÓÃ×Öĸ±íʾ
Ìú¿éµÄÖÊÁ¿m¡¢Ç¦´¸µÄÖÊÁ¿M
Ìú¿éµÄÖÊÁ¿m¡¢Ç¦´¸µÄÖÊÁ¿M
£®
¢ÜÓâÛÖи÷Á¿Çó½â¶¯Ä¦²ÁÒòÊýµÄ±í´ïʽ¦Ì=
2MgL-(M+m)(
v
2
2
-
v
2
1
)
2mgL
2MgL-(M+m)(
v
2
2
-
v
2
1
)
2mgL
£¨ÓÃ×Öĸ±íʾ£©£®
£¨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£©£®
Óë´òµã¼ÆʱÆ÷Ò»Ñù£¬¹âµç¼ÆʱÆ÷Ò²ÊÇÒ»ÖÖÑо¿ÎïÌåÔ˶¯Çé¿öµÄ³£ÓüÆʱÒÇÆ÷£¬Æä½á¹¹Èçͼ¼×Ëùʾ£¬a¡¢b·Ö±ðÊǹâµçÃŵļ¤¹â·¢ÉäºÍ½ÓÊÕ×°Ö㬵±ÓÐÎïÌå´Óa¡¢b¼äͨ¹ýʱ£¬¹âµç¼ÆʱÆ÷¾Í¿ÉÒÔÏÔʾÎïÌåͨ¹ýʱµÄµ²¹âʱ¼ä£®ÎªÁ˲ⶨÁ½ÕÅÖ½Ö®¼äµÄ¶¯Ä¦²ÁÒòÊý£¬Ä³Í¬Ñ§ÀûÓùâµç¼ÆʱÆ÷Éè¼ÆÁËÒ»¸öʵÑ飺ÈçͼÒÒËùʾ£¬ÔÚСÌú¿éAºÍľ°åBÉÏÌùÉÏ´ý²âµÄÖ½£¬Ä¾°åBˮƽ¹Ì¶¨£¬Ç¦´¸Í¨¹ýϸÏߺÍСÌú¿éÏàÁ¬£¬ÆäÖÐľ°åÉÏ·½µÄϸÏßˮƽ£®1ºÍ2Êǹ̶¨ÔÚľ°åÉÏÊʵ±Î»ÖõÄÁ½¸ö¹âµçÃÅ£¬ÓëÖ®Á¬½ÓµÄÁ½¸ö¹âµç¼ÆʱÆ÷ûÓл­³ö£®ÊÍ·ÅǦ´¸£¬ÈÃСÌú¿éÔÚľ°åÉϼÓËÙÔ˶¯£¬¹âµçÃÅ1¡¢2¸÷×ÔÁ¬½ÓµÄ¼ÆʱÆ÷ÏÔʾµÄµ²¹â¶Ô¼ä·Ö±ðΪ1.2¡Á10Ò»2 sºÍ0.5¡Á10-2 s£®ÓÃÓα꿨³ß²âÁ¿Ð¡Ìú¿é×ó¡¢ÓÒ²à¼äµÄ¿í¶ÈdÈçͼ±ûËù
£¨1£©¶Á³öСÌú¿éµÄ¿í¶Èd=
1.05
1.05
cm£®
£¨2£©Ìú¿éͨ¹ý¹âµçÃÅ2µÄËÙ¶ÈV2=
2.1
2.1
m/s£¨¼ÆËã½á¹û±£Áô2λÓÐЧÊý×Ö£©£®
£¨3£©ÒÑÖªµ±µØÖØÁ¦¼ÓËÙ¶ÈΪg£¬Ï¸Ï߶ÔǦ´¸µÄÀ­Á¦´óСºÍϸÏ߶ÔСÌú¿éAµÄÀ­Á¦´óСÏàµÈ£¬ÎªÍê³É²âÁ¿£¬³ýÁ˲âÁ¿v1¡¢v2ºÍǦ´¸¡¢Ð¡Ìú¿éµÄÖÊÁ¿M¡¢mÍ⣬»¹Ðè²âÁ¿µÄÎïÀíÁ¿ÓУº
Á½¸ö¹âµçÃÅÖ®¼äµÄ¾àÀëL
Á½¸ö¹âµçÃÅÖ®¼äµÄ¾àÀëL
£¨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£©£®

Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com

¾«Ó¢¼Ò½ÌÍø