ÌâÄ¿ÄÚÈÝ

ÓÃÂäÌå·¨ÑéÖ¤»úеÄÜÊغ㶨ÂɵÄʵÑéÖУ¬
¢ÙÔËÓù«Ê½
1
2
mv2=mgh
ÑéÖ¤»úеÄÜÊغ㶨ÂÉ£¬ËùÑ¡ÔñµÄÖ½´øµÚl¡¢2µã¼äµÄ¾àÀëÓ¦½Ó½ü
 
mm£®
¢ÚÈôʵÑéÖÐËùÓÃÖØ´¸µÄÖÊÁ¿m=1kg£¬´òµãÖ½´øÈçͼËùʾ£¬´òµãʱ¼ä¼ä¸ôΪ0.02s£¬Í¼1ÖÐOΪµÚÒ»¸öµã£¬²â³öA¡¢B¡¢C¡¢D¾àOµãµÄ¾àÀëÈçͼËùʾ£¬Ôò¼Ç¼Bµãʱ£¬ÖØ´¸µÄËÙ¶ÈvB=
 
m/s£¬ÖØ´¸µÄ¶¯ÄÜEK=
 
J£¬´Ó¿ªÊ¼ÏÂÂäÆðÖÁBµãÖØ´¸µÄÖØÁ¦ÊÆÄܵļõСÁ¿ÊÇ
 
J£¬Óɴ˿ɵóöµÄ½áÂÛÊÇ
 
£®£¨g=10m/s2£©¾«Ó¢¼Ò½ÌÍø
¢Û¸ù¾ÝÖ½´øËã³öÏà¹Ø¸÷µãµÄËÙ¶Èv£¬Á¿³öÏÂÂäµÄ¾àÀëh£¬ÔòÒÔ
v2
2
Ϊ×ÝÖá¡¢hΪºáÖá»­³öµÄͼÏóÓ¦ÊÇͼ2ÖеÄÄĸö£®
·ÖÎö£º1¡¢Êé±¾ÉϵÄʵÑ飬ÎÒÃÇÒª´ÓʵÑéÔ­Àí¡¢ÊµÑéÒÇÆ÷¡¢ÊµÑé²½Ö衢ʵÑéÊý¾Ý´¦Àí¡¢ÊµÑé×¢ÒâÊÂÏîÕ⼸µãÈ¥¸ãÇå³þ£®
Ö½´ø·¨ÊµÑéÖУ¬ÈôÖ½´øÔȱäËÙÖ±ÏßÔ˶¯£¬²âµÃÖ½´øÉϵĵã¼ä¾à£¬ÀûÓÃÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ£¬¿É¼ÆËã³ö´ò³öijµãʱֽ´øÔ˶¯µÄ˲ʱËٶȺͼÓËٶȣ¬´Ó¶øÇó³ö¶¯ÄÜ£®¸ù¾Ý¹¦ÄܹØϵµÃÖØÁ¦ÊÆÄܼõСÁ¿µÈÓÚÖØÁ¦×ö¹¦µÄÊýÖµ£®
2¡¢¶ÔÓÚÎïÀíÁ¿ÏßÐÔ¹ØϵͼÏóµÄÓ¦ÓÃÎÒÃÇÒª´ÓÁ½·½Ã棺
A¡¢´ÓÎïÀí½Ç¶ÈÕÒ³öÁ½±äÁ¿Ö®¼äµÄ¹Øϵʽ£®
B¡¢´ÓÊýѧ½Ç¶ÈÕÒ³öͼÏóµÄ½Ø¾àºÍбÂÊ£¬Á½·½Ãæ½áºÏ½â¾öÎÊÌ⣮
½â´ð£º½â£º£¨1£©´òµã¼ÆʱÆ÷µÄ´òµãƵÂÊΪ50 Hz£¬´òµãÖÜÆÚΪ0.02 s£¬
ÖØÎ↑ʼÏÂÂäºó£¬ÔÚµÚÒ»¸ö´òµãÖÜÆÚÄÚÖØÎïÏÂÂäµÄ¸ß¶ÈΪ
h=
1
2
gT2
=
1
2
¡Á9.8¡Á0.022m¡Ö2mm

ËùÒÔËùÑ¡µÄÖ½´ø×î³õÁ½µã¼äµÄ¾àÀë½Ó½ü2mm£®
£¨2£©ÀûÓÃÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ
vB=
xAC
tAC
=0.59m/s£¬
ÖØ´¸µÄ¶¯ÄÜEKB=
1
2
mvB2=0.174J
´Ó¿ªÊ¼ÏÂÂäÖÁBµã£¬ÖØ´¸µÄÖØÁ¦ÊÆÄܼõÉÙÁ¿¡÷Ep=mgh=1¡Á9.8¡Á0.0176J=0.172J£®
µÃ³öµÄ½áÂÛÊÇÔÚÎó²îÔÊÐí·¶Î§ÄÚ£¬ÖØÎïÏÂÂäµÄ»úеÄÜÊغ㣮
£¨3£©ÀûÓÃ
1
2
v2-hͼÏß´¦ÀíÊý¾Ý£¬´ÓÀíÂ۽ǶÈÎïÌå×ÔÓÉÏÂÂä¹ý³ÌÖлúеÄÜÊغã¿ÉÒԵóö£º
mgh=
1
2
mv2£¬¼´
1
2
v2=gh
ËùÒÔÒÔ
1
2
v2Ϊ×ÝÖᣬÒÔhΪºáÖá»­³öµÄͼÏßÓ¦ÊǹýÔ­µãµÄÇãбֱÏߣ¬Ò²¾ÍÊÇͼÖеÄC£®
¹ÊÑ¡C£®
¹Ê´ð°¸Îª£º£¨1£©2
£¨2£©0.59£¬0.174£¬0.172£®
ÔÚÎó²îÔÊÐí·¶Î§ÄÚ£¬ÖØÎïÏÂÂäµÄ»úеÄÜÊغ㣮
£¨3£©C£®
µãÆÀ£ºÓÃÔ˶¯Ñ§¹«Ê½ºÍ¶¯ÄÜ¡¢ÖØÁ¦ÊÆÄܵĶ¨Òåʽ½â¾öÎÊÌâÊǸÃʵÑéµÄ³£¹æÎÊÌ⣮ҪעÒⵥλµÄ»»Ë㣮
ÒªÄܹ»ÕÒ³öбÂʺͽؾàµÄÎïÀíÒâÒ壬ÎÒÃDZØÐëÒª´ÓÎïÀí½Ç¶ÈÕÒ³öÁ½¸öÎïÀí±äÁ¿µÄ¹Øϵ±í´ïʽ£®
ÀûÓÃͼÏóÎÊÌâ½áºÏÊýѧ֪ʶ´¦ÀíÎïÀíÊý¾ÝÊÇʵÑéÑо¿³£Óõķ½·¨£®
ÎÒÃǸü¶àµÄÑо¿Ö±ÏßͼÐΣ¬ÕÒ³öÆäÖ±ÏßµÄбÂʺͽؾ࣮
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
ÈçͼËùʾ£¬ÊÇÓÃÂäÌå·¨ÑéÖ¤»úеÄÜÊغ㶨ÂɵÄʵÑé×°ÖÃgÈ¡10m/s2

£¨1£©Ñ¡³öÒ»ÌõÖ½´øÈçͼËùʾ£¬ÆäÖÐOµãΪ´òµã¼ÆʱÆ÷´òϵĵÚÒ»¸öµã£¬A¡¢B¡¢CΪÈý¸ö¼ÆÊýµã£¬´òµã¼ÆʱÆ÷ͨ¹ý50HZµÄ½»Á÷µç£¬Ó÷ֶÈֵΪ1mmµÄ¿Ì¶È³ß²âµÃOA=12.41cm£¬OB=18.90cm£¬OC=27.06cm£¬ÔÚ¼ÆÊýµãAºÍB¡¢BºÍCÖ®¼ä»¹ÓÐÒ»¸öµã£¬ÖØ´¸µÄÖÊÁ¿Îª1.00Kg£¬¼×ͬѧ¸ù¾ÝÒÔÉÏÊý¾ÝËã³ö£ºµ±´òµã¼ÆʱÆ÷´ò³öBµãʱÖØ´¸µÄÖØÁ¦ÊÆÄܱȿªÊ¼Ê±ÏÂÂäʱ¼õÉÙÁË
1.89
1.89
J£»´òµã¼ÆʱÆ÷´òµ½BµãʱÖØ´¸µÄËÙ¶ÈvB=
1.83
1.83
m/s£¬´ËʱÖØ´¸µÄ¶¯ÄܱȿªÊ¼ÏÂÂäʱÔö¼ÓÁ˶àÉÙ
1.67
1.67
J£¨½á¹û¾ù±£ÁôÈýλÓÐЧÊý×Ö£©
£¨2£©Ä³Í¬Ñ§ÀûÓÃËû×Ô¼ºÊµÑéʱ´ò³öµÄÖ½´ø£¬²âÁ¿³öÁ˸÷¼ÆÊýµãµ½´òµã¼ÆÊýÆ÷´òϵĵÚÒ»¸öµãµÄ¾àÀëh£¬Ëã³öÁ˸÷¼ÆÊýµã¶ÔÓ¦µÄËÙ¶Èv£¬ÒÔhΪºáÖᣬÒÔ
12
v2
Ϊ×ÝÖá»­³öÁËÈçͼËùʾµÄͼÏߣ¬Í¼ÏßµÄбÂʽüËƵÈÓÚ
B
B
£®
A¡¢19.6   B¡¢9.80   C¡¢4.90
ͼÏßΪ¹ýÔ­µãµÄÔ­ÒòÊÇ
¸Ãͬѧ×öʵÑéʱ£¬ÏÈÊÍ·ÅÁËÖ½´ø£¬È»ºó²ÅºÏÉÏ´òµã¼ÆʱÆ÷µÄ¿ª¹Ø
¸Ãͬѧ×öʵÑéʱ£¬ÏÈÊÍ·ÅÁËÖ½´ø£¬È»ºó²ÅºÏÉÏ´òµã¼ÆʱÆ÷µÄ¿ª¹Ø
£®
£¨1£©ÈçͼËùʾ£¬ÊÇÓÃÂäÌå·¨ÑéÖ¤»úеÄÜÊغ㶨ÂɵÄʵÑé×°Öã¬Çë»Ø´ðÏÂÁÐÎÊÌ⣺
¢Ù´ÓÏÂÁÐÆ÷²ÄÖÐÑ¡³öʵÑéËù±ØÐëµÄ£¬Æä±àºÅΪ
ABD
ABD
£®
A£®´òµã¼ÆʱÆ÷£¨º¬Ö½´ø£©£»  B£®ÖØ´¸£» C£®Ììƽ£» D£®ºÁÃ׿̶ȳߣ»  E£®Ãë±í£®
¢ÚʵÑéÖвúÉúϵͳÎó²îµÄÖ÷ÒªÔ­ÒòÊÇÖ½´øͨ¹ý´òµã¼ÆʱÆ÷ʱµÄĦ²Á×èÁ¦£¬Ê¹ÖØ´¸»ñµÃµÄ¶¯ÄÜÍùÍù
СÓÚ
СÓÚ
ËüËù¼õСµÄÖØÁ¦ÊÆÄÜ£¨Ìî´óÓÚ¡¢Ð¡ÓÚ»òµÈÓÚ£©£®
¢ÛÈç¹ûÒÔv2/2Ϊ×ÝÖᣬÒÔhΪºáÖᣬ¸ù¾ÝʵÑéÊý¾Ý»æ³öv2/2-hͼÏßÊÇÒ»Ìõͨ¹ý×ø±êÔ­µãµÄÇãбֱÏߣ¬¸ÃÏßµÄбÂÊÊÇ
ÖØÁ¦¼ÓËÙ¶È
ÖØÁ¦¼ÓËÙ¶È
£®
£¨2£©Ä³Í¬Ñ§ÓÃÈçͼËùʾµÄ×°ÖÃÀ´Ì½¾¿¶¯Äܶ¨Àí£®

¢ÙʵÑéʱΪÁ˱£Ö¤Ð¡³µÊܵ½µÄºÏÁ¦Óë¹³ÂëµÄ×ÜÖØÁ¦´óС»ù±¾ÏàµÈ£¬¹³ÂëµÄ×ÜÖÊÁ¿Ó¦Âú×ãµÄʵÑéÌõ¼þÊÇ
¹³ÂëµÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚС³µµÄÖÊÁ¿
¹³ÂëµÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚС³µµÄÖÊÁ¿
£¬ÊµÑéʱÊ×ÏÈÒª×öµÄ²½ÖèÊÇ
ƽºâĦ²ÁÁ¦
ƽºâĦ²ÁÁ¦
£®
¢Ú¹ÒÉÏÊʵ±µÄ¹³ÂëºóС³µ¿ªÊ¼×öÔȼÓËÙÖ±ÏßÔ˶¯£¬Óôòµã¼ÆʱÆ÷ÔÚÖ½´øÉϼǼÆäÔ˶¯Çé¿ö£®ÏÂͼÊÇʵÑéʱµÃµ½µÄÒ»ÌõÖ½´ø£¬ÆäÖÐA¡¢B¡¢C¡¢D¡¢E¡¢FÊǼÆÊýµã£®±¾ÊµÑéÄܲâ³öµÄÎïÀíÁ¿ÓУºÐ¡³µµÄÖÊÁ¿M£¬¹³ÂëµÄ×ÜÖÊÁ¿m£¬¸÷¼ÆÊýµã¼äµÄ¾àÀë¡÷xn£®ÒÑÖªÏàÁÚ¼ÆÊýµã¼äµÄʱ¼ä¼ä¸ôΪT£¬ÖØÁ¦¼ÓËÙ¶ÈΪg£®Ôò´òµã¼ÆʱÆ÷´ò³öBµãʱС³µµÄËÙ¶ÈΪ
¡÷x1+¡÷x2
2T
¡÷x1+¡÷x2
2T
£¬Ð¡³µºÏÍâÁ¦µÄ¹¦Ó붯Äܱ仯¼äµÄ¹ØϵʽΪ
mg(¡÷x3+¡÷x4)=
1
2
M(
¡÷x4+¡÷x5
2T
)
2
-
1
2
M(
¡÷x2+¡÷x3
2T
)
2
mg(¡÷x3+¡÷x4)=
1
2
M(
¡÷x4+¡÷x5
2T
)
2
-
1
2
M(
¡÷x2+¡÷x3
2T
)
2
£®

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

¾«Ó¢¼Ò½ÌÍø