½ÌѧÎÄ¿âÍø - ȨÍþÎĵµ·ÖÏíÔÆÆ½Ì¨
ÄúµÄµ±Ç°Î»ÖãºÊ×Ò³ > ¾«Æ·Îĵµ > ¸ßµÈ½ÌÓý >

ÎïÀíѹÖáÌ⼯£¨¿´ÁËÒ»°Ù¶àÕÅÊÔ¾íºóÑ¡µÄ63Ì⣩ - ͼÎÄ(14)

À´Ô´£ºÍøÂçÊÕ¼¯ ʱ¼ä£º2026-09-25
µ¼¶Á£º 2v£ºv0Ç÷ÓÚ? 3 (2·Ö) 48£¨20·Ö£© ½â£ºÉèÁ£×Ó½øÈëÔ²ÐÎÇøÓòʱµÄËÙ¶ÈΪv£¬µç³¡Ç¿¶ÈΪE£¬´Å¸ÐӦǿ¶ÈΪB¡£ µ±µç³ ¢´Å³¡Í¬Ê±´æÔÚʱ£¬ÓÉÌâÒâÓУº qE?qvB?0 ¡­¡­¡­¡­¢Ù £¨2·Ö£© 2R?v?T0 ¡­¡­¡­¡­¢Ú £¨2·Ö£© µ±Ö»³·È¥´Å³¡Ê±

2v£ºv0Ç÷ÓÚ?

3 (2·Ö)

48£¨20·Ö£©

½â£ºÉèÁ£×Ó½øÈëÔ²ÐÎÇøÓòʱµÄËÙ¶ÈΪv£¬µç³¡Ç¿¶ÈΪE£¬´Å¸ÐӦǿ¶ÈΪB¡£ µ±µç³¡¡¢´Å³¡Í¬Ê±´æÔÚʱ£¬ÓÉÌâÒâÓУº

qE?qvB?0

¡­¡­¡­¡­¢Ù £¨2·Ö£©

2R?v?T0

¡­¡­¡­¡­¢Ú £¨2·Ö£©

µ±Ö»³·È¥´Å³¡Ê±£¬Á£×ÓÔڵ糡ÖÐ×öÀàÆ½Å×Ô˶¯£¬¹ì¼£ÈçͼËùʾ£¬ÓУº

x·½Ïò£¬ÔÈËÙÖ±ÏßÔ˶¯£º

R?v?T0 2 ¡­¡­¡­¡­¢Û £¨2·Ö£©

y·½Ïò£¬ÔȼÓËÙÖ±ÏßÔ˶¯£º

1qET02 ¡­¡­¡­¡­¢Ü £¨3·Ö£© R???()

2m2µ±Ö»³·È¥µç³¡Ê±£¬Á£×ÓÔڴų¡ÖÐ×öÔÈËÙÔ²ÖÜÔ˶¯£¬¹ì¼£ÈçͼËùʾ£¬Éè°ë¾¶Îªr£¬Ô²ÐÄΪP£¬×ª¹ýµÄ½Ç¶ÈΪ¦È£¬ÔòÓУº

v2qvB?m

rT?tan ¡­¡­¡­¡­¢Ý £¨2·Ö£©

2?m qB ¡­¡­¡­¡­¢Þ £¨2·Ö£©

?2?R r

¡­¡­¡­¡­¢ß ¡­¡­¡­¡­¢à

£¨3·Ö£© £¨2·Ö£© £¨2·Ö£©

t?? T2?TÁª½âµÃ£ºt?0arctan2

249£®ÖÊ×ÓµÄÔ˶¯¹ì¼£Èçͼ

µÚ 46 Ò³ ¹² 55 Ò³

(1)

ÖÊ×ÓÔڵ糡ÖÐÏÈ×÷¼õËÙÔ˶¯²¢Ê¹ËٶȼõΪÁ㣬Ȼºó·´ÏòÔ˶¯£¬Ôڵ糡ÖÐÔ˶¯µÄʱ¼ä

ÖÊ×Ó´ÓCÔ˶¯µ½DµÄʱ¼ä

ËùÒÔ£¬ÖÊ×Ó´ÓAµã³ö·¢µ½µÚÈý´Î´©Ô½¦ÖÖáËùÐèʱ¼ä

¡£

(3)ÖÊ×ÓµÚÈý´Î´©Ô½¦ÖÖáºó£¬Ôڵ糡ÖÐ×÷ÀàÆ½Å×Ô˶¯£¬ÓÉÓÚV0Óë¦Ö¸º·½Ïò³É45½Ç£¬ËùÒÔµÚ

ËĴδ©Ô½xÖáʱ

ËùÒÔ£¬ËٶȵĴóСΪ

ËÙ¶È·½ÏòÓëµç³¡EµÄ¼Ð½ÇÉèΪ¦È£¬ÈçͼËùʾ

50£®½â£º£¨1£©µçÈݼ«°åµçѹU?Q ????¢Ù

C ¼«°åÎʳ¡Ç¿ E?Q ????¢Ú Ôò F?qE?qQ ????¢Û

CdCd £¨2£©µ¯Íèµ½´ïPµãʱÁ½ÕßÓй²Í¬ËÙ¶È£¬ÉèΪv£¬Óɶ¯Á¿ÊغãÓУº mv0?(M?m)v ????¢Ü

µÚ 47 Ò³ ¹² 55 Ò³

12 ¶Ôµ¯Í裬Óɶ¯Äܶ¨ÀíµÃ£ºFx?1mv0?(M?m)v2 ????¢Ý£¬

222CdMmv0 ½âµÃ x? ????¢Þ

2q(M?m) £¨3£©¶ÔµçÈÝÆ÷£¬Óɶ¯Äܶ¨ÀíµÃ£ºFs?22CdMmv0 ????¢à

½âµÃ s?2Q(M?m)21Mv2????¢ß 2 £¨4£©µ¯Íè×îÖÕ·µ»Ø´ÓÓÒ°åС¿×·É³ö£¬´ËʱµçÈÝÆ÷ËÙ¶È×î´ó£¬ÉèµçÈÝÆ÷ËÙ¶ÈΪv1¡¢µ¯ÍèËÙ

¶ÈΪv2¡£ÔòÓɶ¯Á¿ÊغãÓУºmv0?Mv1?mv2 ????¢á

1122 ????¢â ÔÚÕû¸ö¹ý³ÌÖÐÓÉÄÜÁ¿Êغ㣬¼´1mv0?Mv12?mv2222 Óɢᡢ¢âÁ½Ê½½âµÃ v1?2mv011 ????¡ð

M?m51£®( 20·Ö ) ½â£º£¨1£©CÔÚBÉÏ»¬¶¯¹ý³ÌÖУ¬¶¯Á¿Êغ㣬

mcvc?(mc?mb)v1 2·Ö

v1?m?2?1m/s

m?mÈ«¹ý³ÌÄÜÁ¿Êغã

11mcvc2?(mc?mb)v12??mgl 2·Ö 22´úÈëÊý¾Ý½âµÃ

??0.1 2·Ö

£¨2£©ABÅöײ£¬ABϵͳ¶¯Á¿Êغã

mava?(ma?mb)v2 1·Ö v2?2m/s

ABÒ»ÆðÔ˶¯£¬CÔÚBÉÏÏà¶Ô»¬¶¯

ac?aab?mgm?mg??0.5m/s2 1·Ö m?m??g?1m/s2 1·Ö

C»¬µ½BµÄÓÒ¶Ëʱ£¬ÓÐ

sab?sc?L 2·Ö

µÚ 48 Ò³ ¹² 55 Ò³

sab?v2t?sc?1aabt2 1·Ö 212act 1·Ö 2´úÈëÊý¾ÝÓÐ

11?0.5t2??1t2?1 222¼´CÔÚBÉÏÔ˶¯Ê±¼äΪt?s

32225|´Ëʱ vc?act?1??m/s vab?v2?aabt?2?0.5??m/s

33332t?2·Ö

´ËºóAB·ÖÀ룬CÔÚAÉÏ»¬¶¯¹ý³ÌÖУ¬CAϵͳ¶¯Á¿Êغã

|mcvc?mavab?(mc?ma)v3 1·Ö

CAϵͳÄÜÁ¿Êغã

111|222mcvc?mavab?(mc?ma)v3??mgL| 1·Ö 222L|?0.25m ¼´Îï¿éCÍ£ÔÚAÉϾàA×ó¶Ë0.25m´¦£® 3

·Ö

52£¨19·Öx£©½â´ð£º

R2R ? 332R8

£¨1£©R1£½ £½ £½ ?

R93

B2(3 r) 2v1

F £½ BIL £½ £½0.12 N

R1

ÓÉmg - F £½ ma

F

a £½g - £½ 8.8£¨m / s2£©

m

1

£¨2£©mgr - Q £½ mv22 ¨C 0

2

¢Ù ¢Ú ¢Û ¢Ü ¢Ý ¢Þ

£¨4·Ö£© £¨4·Ö£© £¨2·Ö£© £¨2·Ö£© £¨5·Ö£© £¨2·Ö£©

1

Q £½ mgr - mv22 £½ 0.44 J

253£¨20·Ö£©½â´ð£º £¨1£©»õÎïa1?F1?f3???m1?m0?g3?0.1?1?10???2m/s2 m1m1?m01

£¨1·Ö£©

f??1m/s2 С³µa2?M ¾­t1=2s »õÎïÔ˶¯S1?£¨1·Ö£© £¨1·Ö£©

12a1t1?4m 2µÚ 49 Ò³ ¹² 55 Ò³

С³µÔ˶¯S2?12a2t1?2m 2 £¨1·Ö£©

»õÎïV1=a1t1=2¡Á2=4m/s ÏòÓÒ Ð¡³µV2=a2t1=1¡Á2=2m/s ÏòÓÒ ¾­2Ãëºó£¬»õÎï×÷ÔȼõËÙÔ˶¯a1??qE2?f1?1??2m/s2 Ïò×ó £¨1·Ö£©

m1?m01 С³µ¼ÓËٶȲ»±ä£¬ÈÔΪa2=1m/s2 ÏòÓÒ£¬µ±Á½ÕßËÙ¶ÈÏàµÈʱ£¬»õ¹ñÇ¡ºÃµ½´ïС³µ×îÓÒ

¶Ë£¬ÒÔºóÒòΪqE2=f=¦Ì(m0+m1)g£¬»õ¹ñºÍС³µÒ»Æð×÷ΪÕûÌåÏòÓÒÒÔ

a3?qE21??0.5m/s2ÏòÓÒ×÷ÔȼõËÙÖ±µ½Ëٶȶ¼Îª0£®

m0?m1?m2t2=

£¨1·Ö£©

28s V=m/s 3380?3?16s »õÎïºÍС³µ»ñµÃ¹²Í¬ËÙ¶ÈÖÁÍ£Ö¹Ô˶¯ÓÃʱ t3??0.53 ¹²Í¬ËÙ¶ÈΪV=V1¡ªa1¡ä t2 V=V2+a2¡ät2 µÚ¶þ´Îµç³¡×÷ÓÃʱ¼äΪt=t2+t3=6s £¨2£©Ð¡³µÔÚt2ʱ¼äÄÚÎ»ÒÆS3=V2t2+

£¨1·Ö£©

£¨1·Ö£© £¨2·Ö£© £¨2·Ö£© £¨2·Ö£© £¨2·Ö£© £¨2·Ö£©

114a2t22=m 29120 »õ¹ñÔÚt2ʱ¼äÄÚÎ»ÒÆÎªS4=V1t2¡ªa1¡ät22=m

2924 С³µ³¤¶ÈL=S1-S2+S4-S3=m

91242 £¨»òÓÃÄÜÁ¿ÊغãqE1S1-qE2S4=?mgl?(m?M)V L=m

29 £¨3£©Ð¡³µÓҶ˵½´ïÄ¿µÄµØµÄ¾àÀëΪS

02?V29632S?S2?S3????10.7m

2a393

£¨2·Ö£©

54£®µÚÒ»½×¶ÎÀ­Á¦FСÓÚCA¼ä×î´ó¾²Ä¦²ÁÁ¦£¬Òò´ËCA¹²Í¬¼ÓËÙµ½ÓëBÏàÅö£¬¸Ã¹ý³Ì¶ÔCAÓö¯Äܶ¨Àí£ºF-¦Ì2?3mgs=3mv12/2£¬µÃv1=0.83m/s

ABÏàÅö˲¼ä£¬AB¶¯Á¿Êغ㣬Åöºó¹²Í¬ËÙ¶Èv2=0.43m/s

CÔÚABÉÏ»¬ÐÐÈ«¹ý³Ì£¬ABCϵͳËùÊܺÏÍâÁ¦ÎªÁ㣬¶¯Á¿Êغ㣬Cµ½BÓÒ¶ËʱǡºÃ´ïµ½¹²ËÙ£º 2m v1+2m v2=4m v£¬Òò´Ë¹²Í¬ËÙ¶Èv=0.63m/s

CÔÚABÉÏ»¬ÐÐÈ«¹ý³ÌÓÃÄÜÁ¿Êغ㣺F?2L=4m v2/2-(2m v12/2+2m v22/2)+¦Ì1?2mg?2L µÃL=0.3m

µÚ 50 Ò³ ¹² 55 Ò³

¡­¡­ ´Ë´¦Òþ²Ø£º799×Ö£¬È«²¿ÎĵµÄÚÈÝÇëÏÂÔØºó²é¿´¡£Ï²»¶¾ÍÏÂÔØ°É ¡­¡­
ÎïÀíѹÖáÌ⼯£¨¿´ÁËÒ»°Ù¶àÕÅÊÔ¾íºóÑ¡µÄ63Ì⣩ - ͼÎÄ(14).doc ½«±¾ÎĵÄWordÎĵµÏÂÔØµ½µçÄÔ£¬·½±ã¸´ÖÆ¡¢±à¼­¡¢ÊղغʹòÓ¡
±¾ÎÄÁ´½Ó£ºhttps://www.jiaowen.net/wendang/604152.html£¨×ªÔØÇë×¢Ã÷ÎÄÕÂÀ´Ô´£©

Ïà¹ØÍÆ¼ö£º

Copyright © 2020-2025 ½ÌÎÄÍø °æÈ¨ËùÓÐ
ÉùÃ÷ :±¾ÍøÕ¾×ðÖØ²¢±£»¤ÖªÊ¶²úȨ£¬¸ù¾Ý¡¶ÐÅÏ¢ÍøÂç´«²¥È¨±£»¤ÌõÀý¡·£¬Èç¹ûÎÒÃÇ×ªÔØµÄ×÷Æ·ÇÖ·¸ÁËÄúµÄȨÀû,ÇëÔÚÒ»¸öÔÂÄÚ֪ͨÎÒÃÇ£¬ÎÒÃǻἰʱɾ³ý¡£
¿Í·þQQ£º78024566 ÓÊÏ䣺78024566@qq.com
ËÕICP±¸19068818ºÅ-2
Top
¡Á ÓοͿì½ÝÏÂÔØÍ¨µÀ£¨ÏÂÔØºó¿ÉÒÔ×ÔÓɸ´ÖƺÍÅŰ棩
VIP°üÔÂÏÂÔØ
ÌØ¼Û£º29 Ôª/Ô ԭ¼Û:99Ôª
µÍÖÁ 0.3 Ôª/·Ý ÿÔÂÏÂÔØ150·Ý
ȫվÄÚÈÝÃâ·Ñ×ÔÓɸ´ÖÆ
VIP°üÔÂÏÂÔØ
ÌØ¼Û£º29 Ôª/Ô ԭ¼Û:99Ôª
µÍÖÁ 0.3 Ôª/·Ý ÿÔÂÏÂÔØ150·Ý
ȫվÄÚÈÝÃâ·Ñ×ÔÓɸ´ÖÆ
×¢£ºÏÂÔØÎĵµÓпÉÄܳöÏÖÎÞ·¨ÏÂÔØ»òÄÚÈÝÓÐÎÊÌ⣬ÇëÁªÏµ¿Í·þЭÖúÄú´¦Àí¡£
¡Á ³£¼ûÎÊÌ⣨¿Í·þʱ¼ä£ºÖÜÒ»µ½ÖÜÎå 9:30-18:00£©