ÌâÄ¿ÄÚÈÝ

£¨1£©Ê¹Óôòµã¼ÆʱÆ÷À´·ÖÎöС³µÔ˶¯Çé¿öµÄʵÑéÖУ¬ÓÐÈçÏ»ù±¾²½Ö裺
A£®°Ñ´òµã¼ÆʱÆ÷¹Ì¶¨ÔÚ×À×ÓÉÏ          B£®°²ºÃÖ½´ø
C£®ËÉ¿ªÖ½´øÈÃÎïÌå´ø×ÅÖ½´øÔ˶¯        D£®½Óͨ½»Á÷µçÔ´
E£®È¡ÏÂÖ½´ø                        F£®¶Ï¿ª¿ª¹Ø
ÕâЩ²½ÖèÕýÈ·µÄÅÅÁÐ˳ÐòΪ
 
£®
£¨2£©ÈçͼËùʾΪij´ÎʵÑéÖдò³öµÄÒ»Ìõ¾­¹ý´¦ÀíºóµÄÖ½´ø£¬Í¼ÖÐOΪС³µÔ˶¯µÄÆðʼµã£¬AΪËùÑ¡È¡µÄµÚÒ»¸ö¼ÆÊýµã£¬Oµãµ½AµãÖ®¼äÓв¿·Öµã²»ÇåÎú£¬ÏàÁÚÁ½¸ö¼ÇÊýµãÖ®¼äÓÐ4¸öµãδ»­³ö£¬µçԴƵÂÊΪ50Hz£¬ÓúÁÃ׿̶ȳ߲âÁ¿ºó¿ÉÖ±½ÓËã³ö
 

¾«Ó¢¼Ò½ÌÍø
A£®´ÓOµãµ½FµãÔ˶¯µÄʱ¼ä            
B£®´ÓAµãµ½FµãÔ˶¯µÄƽ¾ùËÙ¶È
.
v

C£®AµãʱµÄ˲ʱËÙ¶ÈvA
D£®GµãʱµÄ˲ʱËÙ¶ÈvG
£¨3£©Ò»ÌõÖ½´øÓë×öÔȼÓËÙÖ±ÏßÔ˶¯µÄС³µÏàÁ¬£¬Í¨¹ýµç»ð»¨´òµã¼ÆʱÆ÷´òÏÂһϵÁе㣬ºöÂÔÖ½´øÊܵ½µÄ×èÁ¦£®ÈçͼËùʾÊÇij´ÎʵÑé´ò³öµÄÖ½´ø£¬ÉáȥǰÃæ±È½ÏÃܼ¯µÄµã£¬´Ó0µã¿ªÊ¼·Ö±ðÈ¡1¡¢2¡¢3Èý¸ö¼ÆÊýµã£¬Ã¿Á½¸öÁ¬Ðø¼ÆÊýµã¼ä»¹ÓÐ4¸öµãδ±ê³ö£¬¸÷¼ÆÊýµãÓë0µãÖ®¼äµÄ¾àÀëÒÀ´ÎΪx1=3.00cm¡¢x2=7.50cm¡¢x3=13.50cm£¬Ôò´ò¼ÆÊýµã¡°2¡±Ê±Ð¡³µµÄ˲ʱËÙ¶Èv2=
 
m/s£¬Ð¡³µµÄ¼ÓËÙ¶Èa=
 
m/s2£®¾«Ó¢¼Ò½ÌÍø
·ÖÎö£º£¨1£©ÔÚ¾ßÌå½øÐÐʵÑé²Ù×÷ʱ£¬Ò»°ã±¾×ÅÏÈ°²×°Æ÷²Ä¡¢ÔÙ½øÐÐʵÑé¡¢×îºóʵÑéÍê±ÏÕûÀíÆ÷²ÄµÄ²½Öè½øÐеģ¬Òò´ËÊìÁ·´òµã¼ÆʱÆ÷µÄÓ¦Óò½Ö裬¼´¿ÉÕýÈ·½â´ð£®
£¨2£©¸ù¾ÝÏàÁÚÁ½¸ö¼ÆÊýµãÖ®¼äÓÐ4¸öµãδ»­³ö£¬¿ÉÒÔÖªµÀÏàÁÚÁ½¸ö¼ÆÊýµãµÄʱ¼ä¼ä¸ôÊÇ0.1s£¬¸ù¾Ý´ÓAµãµ½FµãµÄλÒƺÍʱ¼äÔËÓÃƽ¾ùËٶȵĶ¨Òåʽ¿ÉÒÔ´ÓAµãµ½FµãÔ˶¯µÄÇó³öƽ¾ùËٶȣ¬¸ù¾Ýʱ¼äÖеãʱ¿ÌµÄ˲ʱËٶȵÈÓڸùý³ÌÖеÄƽ¾ùËٶȣ¬¿ÉÒÔÇó³öijµã˲ʱËٶȣ®
£¨3£©¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯ÖÐÖмäʱ¿ÌµÄËٶȵÈÓڸùý³ÌÖеÄƽ¾ùËٶȣ¬¿ÉÒÔÇó³ö´òÖ½´øÉÏAµãʱС³µµÄ˲ʱËٶȴóС£¬¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£®
½â´ð£º½â£º£¨1£©ÊµÑé²½ÖèÒª×ñÑ­ÏÈ°²×°Æ÷²Äºó½øÐÐʵÑéµÄÔ­Ôò½øÐУ¬Òª·ûºÏÊÂÎï·¢Õ¹¹æÂÉ£¬²»ÄܶªÈýÂäËÄ£¬Âß¼­µßµ¹£¬ÈçÔÚ±¾ÊµÑéÖУ¬ÒªÏȹ̶¨ÒÇÆ÷£¬°²ºÃÖ½´ø£¬´òµãʱҪÏȽÓͨµçÔ´ºóÊÍ·ÅÖ½´ø£¬´òµãÍê±ÏÒªÏȶϿª¿ª¹Ø£¬ºóÈ¡ÏÂÖ½´ø£¬È»ºó½øÐÐÊý¾Ý´¦Àí£¬¹Ê˳ÐòΪ£ºABDCFE£®
£¨2£©A¡¢ÓÉÓÚOµãµ½AµãÖ®¼äÓв¿·Öµã²»ÇåÎú£¬ÎÞ·¨È·¶¨OºÍAÖ®¼ä´òÁ˶àÉٵ㣬Òò´ËÎÞ·¨È·¶¨´ÓOµãµ½FµãÔ˶¯µÄʱ¼ä£¬¹ÊA´íÎó£»
B¡¢¸ù¾ÝÏàÁÚÁ½¸ö¼ÆÊýµãÖ®¼äÓÐ4¸öµãδ»­³ö£¬¿ÉÒÔÖªµÀÏàÁÚÁ½¸ö¼ÆÊýµãµÄʱ¼ä¼ä¸ôÊÇ0.1s£¬ÓÉ´ËÇó³öAµ½FµÄʱ¼ä£¬¸ù¾Ý¹«Ê½
.
v
=
x
t
¿ÉÇó³öƽ¾ùËٶȴóС£¬¹ÊBÕýÈ·£»
C¡¢D¡¢ÓÉÓÚAµãºÍGµã²»ÊÇij¶Îʱ¼äÖеÄÖе㣬Òò´ËÎÞ·¨Ö±½ÓÇó³öÆäËٶȴóС£¬¹ÊC¡¢D´íÎó£®
£¨3£©´òµã¼ÆʱÆ÷ÿ¸ô0.02s´òÒ»´Îµã£¬Ã¿Á½¸öÁ¬Ðø¼ÆÊýµã¼ä»¹ÓÐ4¸öµãδ±ê³ö£¬ËùÒÔÏàÁÚÁ½¸ö¼ÆÊýµãÖ®¼äµÄʱ¼äΪ0.1s£»
¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯ÖÐÖмäʱ¿ÌµÄËٶȵÈÓڸùý³ÌÖеÄƽ¾ùËٶȣ¬ËùÒÔÓУº
v2=
x3-x1
2T
=
(13.50-3.00)¡Á10-2m
2¡Á0.1s
=0.525m/s

ÓÉÌâÒâ¿ÉÖª£ºx1=3.00cm£¬x2=4.50cm£¬x3=6.00cm£¬Òò´Ë¡÷x=1.50cm£¬¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2¿ÉµÃ£º
a=
¡÷x
T2
=
1.50¡Á10-2m
(0.1s)2
=1.5m/s2

¹Ê´ð°¸Îª£º£¨1£©ABDCFE£»£¨2£©B£»£¨3£©0.525£¬1.5£®
µãÆÀ£º¶ÔÓÚ»ù±¾ÊµÑéÒÇÆ÷£¬Òª»áÕýȷʹÓã¬Á˽âÆ乤×÷Ô­Àí£¬Îª½«À´¾ßÌåʵÑé´òºÃ»ù´¡£¬¶ÔÓÚʵÑé×°Öú͹¤×÷Ô­Àí£¬ÎÒÃDz»½ö´ÓÀíÂÛÉÏѧϰËü£¬»¹Òª´Óʵ¼ùÉÏÈ¥Á˽âËü£¬×Ô¼º¶¯ÊÖÈ¥×ö×ö£»ÔÚÖ½´ø·¨ÊµÑéÖУ¬¾­³£Óõ½ÔȱäËÙÖ±ÏßÔ˶¯¹æÂÉÀ´Çó½â˲ʱËٶȻòÕß¼ÓËٶȴóС£¬¶ÔÓÚÕâµãÔÚƽʱҪעÒâÌá¸ßÓ¦ÓÃÔȱäËÙÖ±ÏߵĹæÂÉÒÔ¼°ÍÆÂÛ¡÷x=aT2½â´ðʵÑéÎÊÌâµÄÄÜÁ¦£¬ÔÚÁ·Ï°ÖÐÒª¼ÓÇ¿»ù´¡ÖªÊ¶µÄÀí½âÓëÓ¦Óã®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
£¨1£©Ê¹Óôòµã¼ÆʱÆ÷À´·ÖÎöÎïÌåÔ˶¯Çé¿öµÄʵÑéÖУºÓÐÈçÏ»ù±¾²½Ö裺
A¡¢°Ñ´òµã¼ÆʱÆ÷¹Ì¶¨ÔÚ×À×ÓÉÏ          B¡¢°²ºÃÖ½´ø
C¡¢ËÉ¿ªÖ½´øÈÃÎïÌå´ø×ÅÖ½´øÔ˶¯        D¡¢½ÓͨµÍѹ½»Á÷µçÔ´
E¡¢È¡ÏÂÖ½´ø                          F¡¢¶Ï¿ª¿ª¹Ø
ÕâЩ²½ÖèÕýÈ·µÄÅÅÁÐ˳ÐòΪ
ABDCFE
ABDCFE
£®
£¨2£©Óôòµã¼ÆʱÆ÷¼Ç¼Á˱»Ð¡³µÍ϶¯µÄÖ½´øµÄÔ˶¯Çé¿ö£¬ÔÚÖ½´øÉÏÈ·¶¨³öA¡¢B¡¢C¡¢D¡¢E¡¢F¡¢G¹²7¸ö¼ÆÊýµã£®ÆäÏàÁÚµã¼äµÄ¾àÀëÈçͼËùʾ£¬Ã¿Á½¸öÏàÁڵļÆÊýµãÖ®¼ä»¹ÓÐ4¸ö´òÓ¡µãδ»­³ö£®
¢ÙÊÔ¸ù¾ÝÖ½´øÉϸ÷¸ö¼ÆÊýµã¼äµÄ¾àÀ룬¼ÆËã³ö´òÏÂB¡¢C¡¢D¡¢E¡¢FÎå¸öµãʱС³µµÄ˲ʱËٶȣ¬²¢½«¸÷¸öËÙ¶ÈÖµÌîÈëϱíÒªÇó±£Áô3λÓÐЧÊý×Ö£®

¢Ú½«B¡¢C¡¢D¡¢E¡¢F¸÷¸öʱ¿ÌµÄ˲ʱËٶȱêÔÚÖ±½Ç×ø±êϵÖУ¬²¢»­³öС³µµÄ˲ʱËÙ¶ÈËæʱ¼ä±ä»¯µÄ¹ØϵͼÏߣ®

¢ÛÓÉËù»­ËÙ¶È-ʱ¼äͼÏóÇó³öС³µ¼ÓËÙ¶ÈΪ
0.80
0.80
m/s2
£¨2£©Ä³Í¬Ñ§ºÍÄãÒ»Æð̽¾¿µ¯Á¦ºÍµ¯»ÉÉ쳤µÄ¹Øϵ£¬²¢²âµ¯»ÉµÄ¾¢¶ÈϵÊýk£®×ö·¨ÊÇÏȽ«´ý²âµ¯»ÉµÄÒ»¶Ë¹Ì¶¨ÔÚÌú¼Ų̈ÉÏ£¬È»ºó½«×îС¿Ì¶ÈÊǺÁÃ׵Ŀ̶ȳßÊúÖ±·ÅÔÚµ¯»ÉÒ»²à£¬²¢Ê¹µ¯»ÉÁíÒ»¶ËµÄÖ¸ÕëÇ¡ºÃÂäÔڿ̶ȳßÉÏ£®µ±µ¯»É×ÔȻϴ¹Ê±£¬Ö¸ÕëָʾµÄ¿Ì¶ÈÊýÖµ¼Ç×÷x0£¬µ¯»É϶˹ÒÒ»¸ö20gµÄíÀÂëʱ£¬Ö¸ÕëָʾµÄ¿Ì¶ÈÊýÖµ¼Ç×÷x1£»µ¯»É϶˹ÒÁ½¸ö20gµÄíÀÂëʱ£¬Ö¸ÕëָʾµÄ¿Ì¶ÈÊýÖµ¼Ç×÷x2£»¡­£»¹ÒÆ߸ö20gµÄíÀÂëʱ£¬Ö¸ÕëָʾµÄ¿Ì¶ÈÊýÖµ¼Ç×÷x2£®
¢Ùϱí¼Ç¼µÄÊǸÃͬѧÒѲâ³öµÄ6¸öÖµ£¬ÆäÖÐÓÐÁ½¸öÊýÖµÔڼǼʱÓÐÎó£¬ËüÃǵĴú±í·ûºÅ·Ö±ðÊÇ
x1
x1
ºÍ
x4
x4
£®
²âÁ¿¼Ç¼±í£º
´ú±í·ûºÅ x0 x1 x2 x3 x4 x5 x6 x7
¿Ì¶ÈÊýÖµ/cm 0.85 1.7 2.55 4.3 5.10 6.00

¢ÚʵÑéÖУ¬x3ºÍx7Á½¸öÖµ»¹Ã»Óвⶨ£¬ÇëÄã¸ù¾ÝÉÏͼ½«ÕâÁ½¸ö²âÁ¿ÖµÌîÈë¼Ç¼±íÖУ®

¢ÛΪ³ä·ÖÀûÓòâÁ¿Êý¾Ý£¬¸Ãͬѧ½«Ëù²âµÃµÄÊýÖµ°´ÈçÏ·½·¨ÖðÒ»Çó²î£¬·Ö±ð¼ÆËã³öÁËÈý¸ö²îÖµ£ºd1=x4-x0=3.45 cm£¬d2=x5-x1=3.40 cm£¬d3=x6-x2=3.45 cm£®
ÇëÄã¸ø³öµÚËĸö²îÖµ£ºd4=
x7-x3
x7-x3
=
3.45
3.45
cm£®
¢Ü¸ù¾ÝÒÔÉϲîÖµ£¬¿ÉÒÔÇó³öÿÔö¼Ó20gíÀÂëµÄµ¯»Éƽ¾ùÉ쳤Á¿¡÷x£®¡÷xÓÃd1¡¢d2¡¢d3¡¢d4
±íʾµÄʽ×ÓΪ£º¡÷x=
d1+d2+d3+d4
4
d1+d2+d3+d4
4
£¬
´úÈëÊý¾Ý½âµÃ¡÷x=
3.44
3.44
cm£®
¢Ý¼ÆË㵯»ÉµÄ¾¢¶ÈϵÊýk=
22.8
22.8
N/m£®£¨gÈ¡9.8m/s2£©

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

¾«Ó¢¼Ò½ÌÍø