机械能试题

机械能试题

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时间:2023-07-01

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37B.YᱥAḄnoᐜᜧW'ᨬᜧno~c.VḄAᡠḄ5(JT7-3)Mg/D.VḄAᡠḄ5(ஹ/F7-3)g/+*17.ḕ¡¢£ᓝ᪥ὶᔠ¥2010¨ὶὃ᝞ᡠ,3450Ḅᱥ¥(©ª53I)l«no¬4I®<¯m530஺Ḅ°(±☢ᐸḄ³noᜧ'5´g,xᱥ¥ᙠ±☢<<ᓣḄᨬᜧo5h,ᑣᙠµ&@yᱥ¥4(CD)31A.Y·¸³t0³B.¹º᥅¼<½44C.¸¾ᜫt3Àg/zD.¸¾ᜫt2218.Äᓭḕ᧎2010ᨴὃ᝞ᡠkMᐝ)rsÈ☢<Ḅ')ᙽP$QÌ©ªÍ3I34ÎÏ஺QZÐ3ÑÒÎÓ஺ÔQ☟ÖPl«•ØnoᔣQ=ZÑÒÙÚÛÜ஺ᙠ᦮&ÛÜ@yÑÒᐹᨵḄᨬᜧÑឋ·¸ÏMA.PḄظB.PḄظḄ1/2C.PḄظḄ1/3D.PḄظḄ1/4)ஹ,⌱.⚪19.ᓅã£äsåæçᨴὃᱥ¥c¯m5eḄ±☢¬é8lØnoV஺c±☢ᔣ<)ë)qᨬIWìíîíᑮé8eno~V,ᑣᱥ¥<)Ḅᨬᜧo5ᱥ¥Z±☢ðḄ᥅¼ñᦪu5222MGVu+V0ᫀ5——ôõtan64gV0+v20.ᓅã£äsåæçᨴὃ345mḄ3I÷ᙠUVḄ8VḄa8°(ᙠs☢<x3Iᙠøùrs☢<Íúû5rḄᙊᕜÔ3IḄᨬØn᳛~V஺ÿᕜᐸ᳛V0/2,ᑣ᥅Ḅ,᥅ᦪ0ᫀ)338167zrg21.ᓅ!"#$%&'()*ᨴὃᙠᐝ/Ḅ0"ᙢ☢3454kgḄᱥ:;3m/s

38Ḅ?ᔣABC458kgḄᱥ:;3m/sḄ?ᔣEFᱥ:GHIJᙠKᑣHILḄᐳN?,HOPQ#RᜫḄTUV஺XᫀZlm/sᔣE48J22.3]^᪥2010`$%(*ὶὃᱥ:ᙠ᜜Ḅcᵨef☟hijkl”“F2F------Oᔠ᜜qᔣrsᜧuvwḄsᓄ᝞zᡠ|஺}~ᱥ:ᙠt஺2t°Ḅ?ᜧuᑖv,ᔠ᜜fijtḄ1ft஺2t°F°—20Ḅ2ᑣ=%/2=ᵯ஺Q——2t0XᫀZl/=3Vj,W/2=8W1223.ᔠ^#2010`$%()*ὃᵨ200Nkᔣ3Ḅᙢ☢3C4510kgḄᱥ:K5m$Ḅr¡g¢10m/—,£Z¤1¥¦ᱥ:ᡠḄ§¤2¥ᱥ:$I¨©Ḅª«V§¤3¥ᱥ:$IᐹᨵḄV஺XᫀZ¤1¥¦ᱥ:ᡠḄ§1000J¤2¥ᱥ:$I¨©Ḅª«V§500J¤3¥ᱥ:$IᐹᨵḄV஺500J24,ᓅ!"#$%&'()*ᨴὃ᝞z®¯஺Ḅ°☢±²஺ᨵ஻C45´mḄGNḄuᩈᙽ¤·¸4¹¥º»ᙠ°☢3஺G¼Fuᩈᙽw½¾´/,ᨬeÀḄᩈᙽ½ÁÀÂ/uᩈᙽð☢wḄ᥅ᦪ´P,ᙠij(Cuᩈᙽf°☢⚔À;Å?ḄÆ°☢e/ᐸÇᡠᨵᩈᙽ´☟hᵫ(CᩈᙽḄe/É*ÊKËᑡḄHO஺}Í*HOḄw᩽ÏᙠÍ*HOIÐÑHOḄᩈᙽ´JᙠKkᑮᨬI(nCᩈᙽᑮÓÁÀ?ÔÕÖ஺×ت©?Ù£Z¤1¥(*HOIuᩈᙽ1Ḅ?ᜧuᓃ¤2¥f(Cuᩈᙽijᑮ(*HOIËÛRᜫḄTUVAE§¤3¥ÐÑËᑡHOIkᑮᨬI("CᩈᙽᑮÓÁÀᙠ᦮CPQ#ᵫHOᡠRᜫḄàTUVAEà஺XᫀZ(1)v=§7vo2+2g/(sin0-cos0-ju)

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48zts02.44.26.37.89.010.011.012.0ᔜÚ:m/s2.08জ4.766.678.33ঝ10.010.01ÝÞß⊤§c¨ḄØ5,àÞß⊤Ḅz3Lá~5-t஺2᪷Ò:1á~Ḅs-tã§c¨ᙠ¼VäÚᑁḄæᓄèéᜧëìíᵨ¼VÚḄᙳßïÍÚḄ.ðñ~ò⊤óa`ôḄজஹঝᜐḄᦪÒ-জ▲:m/sঝ▲m/s:3÷øµ¶aa¢Á¬§c¨ᡠ%()0ᐸᜧ³ᡂú+ᐸ+ûüᦪ915Ns/mᑣᙠ20m-30mäÚḄᙳ())030m-40mäÚḄᙳ())*+¹-)=▲;ÿ᦮Ḅ᳛PᢝᑣP=▲W஺ᫀ:পs-t.3ᑖ(2)জ2.78(m/s)@10.0(m/s).(!"2ᑖ)%3&'&=0.8'P=1500W.%!"2ᑖ

4919.“,-ஹ/0ஹ1-ஹ234ஹ567ஹ894”;᪥ὶὃ?@ABCDḄ“⁚FG᣸”IJKLᵨ@4DᵨNḄ⁚FOP.ᙠRᔠ-ᐰUV⌕XḄYZ[\G]N^ᜓ`abḄcᵨᱥefgᑴijklmnoNpqG].ᎷsNt72km/hḄ{|ᒴ{UV~pqᦋஹ^NᑮḄ&ᑖ?2000Nf1950N.OPoN᳛G]@]'sNḄᱫ&ᜧ?Nᡠ&ᜧ?/,N{|?vNᒴ{ᡠtজ%2ᑖḄ᳛P=Fvঝ%2ᑖ72ᵫজঝ¡AP=%/-/v=%2000-1950x——W=lxlO3W%2ᑖx23.620.«¬ḕ®«¯;᪥2010°±²³´µ4¶ὶὃᙠ᝞ᡠ¸Ḅ¹bºᐝ¼Ḅ½¼¾Ḅ¿ÀÁ⊤☢ÄÅḄÆ☢ǽᙠᙢ☢³Æ☢ḄÉÊ?9=30஺஺ᵨ4᪷̽¼¾ḄÍÎ/ÏᵬஹѺᱥÒÓᵬᱥÒaᙠÆ☢³Ô/ÕÖÆ☢3UÓÑᱥÒ×ᙠ"Øo×ÕÙÚÔÛÜÝÚOᔣa=60஺஺à~áaᵬஹѺᱥÒÑᱥÒâᙠÝÚ3☢ᑁäåÑᱥÒæᨬ±èfᨬéè~ᵬᱥÒᙠÆ☢³ᙳាìí¼஺îïÑᱥÒḄðk?m=lkg,òóô&i{|g=10m/s2஺X'ᵬᱥÒḄðköÆ☢÷ᵬᱥÒḄᨬᜧ☟᥅ú&஺'sᵬᱥÒḄðk?M,ᡠḄᨬᜧ☟᥅ú&?f,ᑣåÑᱥÒᑮᨬ±è~Îý³Ḅþ&ᨬs?T1,ᱥ='ngCOSa...............ᵬᱥាᨵMgsin°=/+.............Mgsin0=f+mgcosaᱥᑮᨬ#$%&'(Ḅ*+ᨬᜧ%-T2

500g/(l-cosa)=>mv2ᱥᵫ23ᳮ2.....................v2T-mg=m—25ᵫ67893:I.....................ᵬᱥា(ᑣᨵMgsin0+f=T..................2.Mgsin0+f=mg(3-2cosa).=஻?(3-cose-(kg)DE2sme.....................3_f=—mg(1-cosa)=7.5(N)21.Fᓅḕ⊝JKL2010NOP(LQ8RSTẆὃW᝞Yᡠ[\☢^_-45°,b\☢(cA$ᜐᵫ☟ghijklm-mḄ*ឋpᳫᙠB$ᜐt\☢uv,uvwxyᜧpzcᔣz-J|}~jᙠC$S\☢uv஺AB$ḄOy-h,+0xy-g,ὃ⇋+஺1pᳫᙠAB~K+Ḅ|ᙳ᳛P2pᳫᑮC$xyḄᜧp஺E1pᳫ~Kᵫᑮ\☢B$Ḅxy-v,2g஻=/Ev=12ghᡠpᳫᙠAB+Ḅ|ᙳ᳛p=mgv=*Lng2pᳫbBᑮC|%BᑮCḄ-3¡cᔣBCsin0=-gt2J|cᔣBCcosO=vtEf=2y)2h/gᡠC$Ḅxy-v=yjv2+g2t2=c22.£¤ḕ¥¦PK2010NOP8jSᨴὃᙠ¡|☢ᑁ©ªxoy¡_ᙶ᪗¯”⊤[¡ᔣ(cᔣ.᝞Yᡠ[.²|☢ᑁ³ᙠ´xµ¶ᔣḄ·¸¹ᜧḄᒴ»ᵯ½.j¾ᵯpᳫb

51ᙶ᪗¿$஺´஺ycᔣ4JḄÁ2¡ᔣ(Â.Ã+ÄᑮÅḄᨬOÆÇ᝞YKM$ᡠ[.পpᳫᙠM$Ḅ2EkM.(2)%pᳫÌÍÂ$ᙠÎjJ|☢ḄÆÇ-N$pᳫᑮÅN$Ḅ2£.kNE᪆(1)b0$(ᓣᑮM$¡cᔣ(:12y=2gr-tngy=0-Ek0J|cᔣ(12x=—at~2F=ma233x%=Fx=%7=4=2.25J(2)pᳫᵫ0ᑮNḄf'=2fX0N-^at'2=4xᑮN$+Ø2zᓄ-Úᵯ½+ÛÜÝÞ2Ḅzᓄ&0N=£ÝXEkN=FXON+Ek஺-E---4x+E-13Jk0k0y23.à©ḕáâ9K2010NOP᥎äὃW•lmm=2.0kgḄpᱥᙽ•3ḄÁxyç(j^_-37஺¹èḄ\☢éÎLᑭᵨìíᘤïÂðpᱥᙽç(\☢~KñkòḄóxyôᵨÃõÝÂðpᱥᙽ(~Ḅ

52xyjYö᝞Yᡠ[஺÷sin37—0.6,cos37*=0.8,g=10m/s2:1pᱥᙽç(\☢~K0xyḄᜧp2pᱥᙽ\☢Ḅ᥅ýþᦪ3ᱥᙽ☢Ḅ.1ᵫᱥᙽḄ!"a=±'="^=-8.0m/s2t1.0ᱥᙽ1☢23Ḅᜧ58.0m/s2o2᝞ᡠ9ᱥᙽ:;<ஹ>ᢝ<ஹ᥅A

53112Ôcos9=-ᓽ6=arccos—=70.5°T-=Mg——mg33min33s2ᵫ☢SᑮḄNḄ⊤Z×"ÔCOS6>>2N>0,5Ø<ÙᨵÔcos®<2,33NV0,5Ú<ÛÜᙊ|ᓣḄÝ⌕ᩩ¢஺ᙊ|ᓣḄᩩ¢ÜTWO,ᓽ2NCOS+Mg<0ßàá᝱53cos28-2cos0+^~=02m×ᨵã᪷Ḅᩩ¢53M~225.“åæஹ©çஹèæஹéê2ஹëìí2ஹîï2”ð᪥ὶὃᙠẆõ᥅A<ᱯ^Ḅã÷2ᩈᙽᙠùêúᩈû᝞aᡠ9ᵨ

54Fcosd-f=ma1ᑖgFsin-d+N-mg81ᑖgf=UNὶyᔜ{i\F=4.5N1ᑖg3ᐰ_`Uᵨ5}Fᳮi\W+Wf^O1ᑖgFW^Fs^osO1ᑖg12ஹ$1=—at,1ᑖg2ᐭᦪti=T4.4J1ᑖg26.ᓭḕX2010ᨴὃḄ⚪ᑖ*(ஹᑁ᜜ᑖᐸXᑁ᜜()ᑖ*m4m•Ḅ_`ᑖ*^▤¤\জqQ᎔y§;<¨©☢H«᜜¬ᐸH®¯©☢8°⚪24"a±ঝᵫ☟L³´᜜qQDᓣ¶H·©☢/*hi1☟LḄᑁ¸¹8°⚪24"b±ঞ¸Yᑁ1᜜Iᐳ¼Ḅ./•½Dᓣᑮ᜜H·©☢ᨬᜧ/*ᜐ8°⚪24"c஺Àᑁ1᜜Ḅ¹ÁÂᜧ§ᡠ,ஹÃ᥅1ÄÅÆ,-./*g஺0\81᜜1¸¹YÇ4Ḅᐳ¼./ᜧT±82J᜜ÈM©☢ᑮ¸¹ÉÇ4OḄb±3J᜜HÈM©☢ᑮᓃᓣ¶h2ᜐËᜫḄÍ}஺c\À᜜Dᓣ/Î./*V1᜜1ᑁ¸¹YÇ4Ḅᐳ¼./ᜧT*V2,পa᜜ᑁJ¹YÐᑮᐳ¼./ᑮDᓣ¶h2ᜐUᵨ5}Fᳮᨵ4mg+mh—hi=±4m+mV2,ciV=J2g82-4±22282᜜ᑁ¸¹_`Ç45)Òឤᨵ4mV௃=84mg+mV2,

55civஹ=jJ2g(⁐-4),ÀJ᜜ÈM©☢ᑮ¸¹ÉÇ4Ob*w,ᙠà_`Xa᜜Uᵨ5}Fᳮᨵ12W—4mghi=—(4m)Vi2.25஻,—9஻]ciW=---=----Lmg±(3)ᵫ§᜜ᑁÐᑮᐳ¼./YDᓣ/h2Ḅ_`Í}Òឤîïᙠ᜜ᑁ¸¹_`ᨵ})ËᜫËᜫḄ})*E.=-(4m)V--(4m+m)V2,v2ὶyciEË=:mg(h—hi)o227.ᵞᾓḕö÷øX201010ᨴᨴὃᙠ᝞"ᡠ%ḄúûXr^ᐝfḄFfýḄþÿ⊤☢Ḅ☢ᙠᵬᙢ☢☢Ḅ஺=30°஺ᵨ᪷Ḅ/!"ᵬஹ%&ᱥ()ᵬᱥ(*ᙠ☢+!,-☢./)%ᱥ(0ᙠ12340,56+7896:ᔣ஺=60°஺=>?@*ᵬ%&ᱥ(%ᱥ(Aᙠ96.☢ᑁCDE%ᱥ(FDGᨬIJKᨬLJ?ᵬᱥ(ᙠ☢ᙳាOPD஺QR%ᱥ(ḄSTU=lkg,Z[\]^_`alOm/s)fgᵬᱥ(ḄSTh☢iᵬᱥ(Ḅᨬᜧ☟᥅m]஺ngoᵬᱥ(ḄSTM,ᡠrḄᨬᜧ☟᥅m]£ᑣE%ᱥ(FDᑮᨬIJ?vḄw]ᨬoxi%ᱥ(7,mgcosaz?ᵬᱥ(ាO{|ᨵgMgsin^=/+T,gMgsin0=f+mgcosaE%ᱥ(FDᑮᨬLJ?.ovḄw]ᨬᜧoজi%ᱥ(ᵫDᳮg஻?g/(l-cosa)="/v2ᵫgT-mg-m—2z?ᵬᱥ(ាO{ᑣᨵgMgsinO+f=TgMgsine+/=mg(3—2cosa)2ngM=W(3"C°SQf)=2.5(kg)ஹ2sin6

56Ḅ&µ²S஺1ஹ஺2KSTm=mḄᳫ!",·¸-ᝅᙠᐝ6ᩚSTm=mBAḄᱥᙽ!"QR6ᩚ&¸-&ᙠ>96.☢ᑁ-½.☢Ḅᜳ9=60°,6ᩚCJ-&ᙳᙠ>I`CJᑮ஺1ḄÁ8L,\]^_`g,o6ᩚÃÄÅᳫFDÆ2{Ç-ᐸÉᱥ(ÊË.=AᱥᙽÌCJᵫ☟Í@*ÎfgÏ1Ðᳫ|ÑᑮᨬLJ?ᱥᙽḄÒÓÏ[CJᡠᙠḄ½.☢Ôὃ.☢ÐÏ2Ðᱥᙽ|ḄᨬᜧÁ8Ï3Ðᱥᙽᙠ|Á8L?Ḅ_`ᜧ.ngÏ1Ðoz?ᱥᙽḄÒÓÕ.ÖÒÓ×ឤ£,=mgGL-LsinOH=mgLG1-y/3/2HÏ4ᑖÐBÏ2Ðoᱥᙽ|ḄᨬᜧÁ8SmᵫÒÓ×ឤᨵ%gs,“sin0=%ᵨÏ2ᑖÐÞßà=yuGs-LcosOH2+ÏLsin^Ð2-LÏ2ᑖÐniáᐭn5,„=4Ï1+V3ÐLÏ2ᑖÐÏ3Ðoᱥᙽ|Á8L?Ḅ_`ᜧv,z?ᳫḄ_`ᜧåᑣv=VCOS0BÏ3ᑖÐmgLsin஻=—mv+—mvÏ3ᑖÐA8BAÏ2ᑖÐ29.æᓅḕ⊝½2é2010©IéêëªìẆὃÎ᝞°ᡠ±îᙠïᔆḄñ½,¦òḄ½.ó〈õᵨ½.ó〈õó〈ïö.ᜧᜧ÷Iïøᦔ᳛.½.ó〈õûឤḄ_`V=2m/sF〈STm=0.5kgḄïöïöüîûý0V=1m/sḄþ_ÌA〈.〈Ḅ᥅ᦪU=0.2.ᙠ〈!".#$ᓽ〈.&g=10m/s2,-./10123"!4/20ᙠ56789᝱;〈<Ḅ=>4/30᥅@!AḄB4

57(4)〈Ḅ᥅FGḄᑁI.-v„-vM.(1)ᵫOPQRSTU=஻zaᨵ.a=/Jg=2m/s~t-------=0.5sa(2)5678"Ḅ=>.A.v=vt=1/no(3)᥅@!AB4]^=—஻”.mv2=0.751/722(4)〈Ḅ!b.S«=Vot-(Vt+Vt)/2fflo᥅FGḄᑁI.!=0.25/30.klmnop2010qrs᥎uvw᝞yᡠ{|}~ᱥḄᳮ{y^AB=n〈r|H=5mḄᐝ☢^nBCᵨn〈^BC3b8m,ᱥᒹḄ᥅ᦪ|஻=0.6,Ḅ|R=0.2m,=~un☢Ḅrh=0.45m.ᱥᵫ☟¢£¤A¥;^1¦B¥Ḅ§¨ᜐª«¬Iᜫ.¯¦°᦮(²ᡭ)Ḅ´¨µ3¶ᱥ1C¥·¸#¹ᙠ~Ḅ²º^&g=10m/s2,-:(1)☟"^ᱥᒹᙠ~ᑁḄ¹ᙢ¥ᑮC¥Ḅn=>4(2)¾¨µ3=20rad/sÁ"Â┐Âᔣŵ´"^ᒹᙠ~ᑁḄ¹ᙢ¥ᑮC¥Ḅn=>4(3)wᑏ¸ᱥᒹᙠ~ᑁḄ¹ᙢ¥ᑮC¥Ḅn=>SǨµ3Èᓄᐵ^Ë̸S—3yÍ.(Á"Â┐Âᔣ´"^¨µ3&5Î^n=>ᔣÏ&5Î)M.ᵫ«¬IÐឤST¶Ò.=mgH^ᡠ¾ᱥᙠB¥Ḅµ|V=10m/s0(1)ᱥ¤BᑮCAᒴÔµ7^Õµa=H"_=஻g=6஻z/s2mᑮØC¥µ|Vc^ᑣ.Vj-V^=2aL,ᡠ¾."=2m/s

58¹ᙢ¥ᑮC¥Ḅn=>:S=VL=0.6m(2)µV=3•R=4m/s,º/10ḄÜݶÞ.ᱥᐜÔµ#ᒴµ^¤C¥·¸Ḅµ|Vc=4m/s,¹ᙢ¥ᑮC¥Ḅn=>.s=%.=1.2m/3জ⌮"┐Âᔣ´:ªÜ¨µ|2ᜧ^ᱥ¤BᑮCᙳAᒴÔµ7.ᙠC¥Ḅµ|Vc=2m/s,¹ᙢ¥ᑮC¥Ḅn=>S=0.6mঝÁ"┐Âᔣ´":Iஹ0W3W10rad/s",IIஹ10<3<50rad/s",=0.06amஹ50<«<70rad/s",=0.0632hIVஹ3270rad/s"^S=v•l——=4.2mcVgS—3yÍ᝞y/yÍᐰ!Òᑖ^ᨵ┯é0ᑖ02009ὶὃ⚪⌱î⚪1.2009ᾗ[VW\]#ïð|mḄᱥñ^¤☟¢£¾&ḄÕµóô;¹hḄ¦õ4öL21÷

59o^;ᑡùúo5ûḄ/BDB.ᱥñḄ«¬IÔþÿA.ᱥñḄ«¬IÐឤ2C.ᱥñḄü@ýIÔþ⌮D.ᱥ222.^ḕ_`aSᨴὃ#᝞ᡠ,"Ḅᱥᙽ1ᵫ☟R2,஻ᑮ6#$%&'()*+#ᑮ,ᨬ.C,ᙠᵫ01ᑮCḄ23456ឤ8ᑣ:DA.ᱥᙽ;<=>ឤB.ᱥᙽ?'(@ᡂḄBC;<=>ឤC.ᱥᙽ;<=DE+D.ᱥᙽ?'(@ᡂḄBC;<=DE;mgH+஻H3.2009bcde\]#%ImḄJKᙽLMNRḄO8MᙊQ⍝STUᵫ☟VᑮMᙊWXY,Q⍝ᡠZ[Kᙽ\Ḅ1.5]ᑣ^234Kᙽ_ᜫḄ;<=:.D11A.—mgRB.—mgR8413C.—mgRD.—mgR44.^ḕfaSᨴὃ#᝞ᡠ%᪷cdefḄ&ghiᑖkBḼJᳫA?ᱥᙽB,n2O8op☢⚔iḄJVs0,tu30஺Ḅp☢woxyᙢ☢S.AḄ|BḄ4}YᵨᡲA,0Agាᜐoxye᝱:g4H0Bgyop☢^YB☟c1.Aᵫ☟ᙠᐸ᤮234p☢ᢝ☟ᑡᑨ4Ḅ:ABCA.ᱥᙽ6ZᑮḄ᥅ᐜDJ#ᜧB.ᙢ☢p☢Ḅ᥅ᔣ•ᔣ¢C.Jᳫ/Ḅ;<=>ឤD.Jᳫ¤Ḅ;<=c>ឤ/ஹ8BCḄ;<=>ឤ5.2009bgh\a]i#᝞ᡠA%ᙠ¦&'(SḄJᳫᙠ¦ᔣឤFḄ

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63\MBᳫK1ᕜឋGᐸGᕜT=2,ᓃAஹBᳫᙳ023஺1Aᳫ7BᳫAKLAᳫḄCD.BᳫḄCD”2⌕Aᳫ7BᳫᙠBᳫḄB~%i☢;KYDZᦪkḄ¡஺¢ᫀ¤1=Aᳫ7BᳫKL¥ḄCD,ᵫeᳮqESজ§¤“©ঝVmKLPQR4¬ឤmv=mv+MVঞQ}2yzx{ᜫᨵ®ট§ᓃ⌮°±²⊤#mᔣᔣ\vi=1mᔣᔣc2=v22Vm2⌕m7M☢KLIJᙠ´%iᑣ¶ᨵAᳫ·¸¹ᑮ஺ᜐᡠᵨḄtា¾XBᳫḄ஻+¤T஺=Á©mt—2--=nTH—n=0ஹ1ஹ2ஹ3...ঢa2ᵫ⚪ˤT=2Ìণ,3^r2E<72n+l2,ஹߟ§¤k=-----------—n=0ஹ¤1ஹ2ஹ3...ত2S17.2009×ØḕÚÛRÜÝÞ᝞!ᡠ#ßàá8Ḅ24MäåæDL,gᙠ()☢,áᑁᨵA24?■023ḄᱥìA,A78ஹB7ᙢ☢Ḅ஺᥅ïðᦪᙳ஻ñ~ὅᙳ☟?4ᙠBḄ\]஺ᔣcḄ()BCD,ᱥìA7á8Ḅ\côKLB~ᔣcG஺A78Ḅ\ôᨬAKLBõö÷?GAøùᔣc'úss

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66[\]ὅ_ᣚV,=0,%=%=bQᙠ*+,defḄ?@ABᨵ%=Mv+஻?2vᑣᱥᙽQ()*+,-*+,Ḅ:3ᵫOḄiᓄkTឤlmB\47▭/=o"qro஻—ros21B27Rtu’/=w20.2009;p᯿]i#᝞yᡠ{Bᐝᵯ~-ᘤḄ᧕{y஺ᨵᐝᱥᐝᵯ?-;ᐝᵯ~-ᘤ[{ᱥḄᢱᐝ-஺ᐝe8*MNdMḄᱥᙽAkB,ᢱ+ᜐᨵrP,NᜐL8*〈¢*e£¤B¥¦ᢱᐝᦔ¨©Bªd=3.6Xlsy3mḄᙽ«⁐¢ᑖ¯°ᙠᱥᙽAkkBdB±²³ᱥᙽB´µ²³ᱥᙽ¶ᑖᙠ?ᐝᵯ-ᢱᐝ஺〈¢8*¶ᑖḄ1L=8m,·⌮-┐ºᔣឤlv=6m/sᒴiS஺ᱥᙽAஹBL〈¢ḄS᥅¾¿ᦪp=O.2,±ÀPn?A=mB=Ikg)Á-ᙠAkBÂÃrÄÅB┝lᐸᜐÈ☟=É᝱BËt◀┝lB)ᱥᙽAkB,ÍÎÏÄÅBᱥᙽÐrÑ?ᐝᵯB~-ᘤ{Òᦪᙳt=9.0Ô10%BgÕ10m/S2,ÖপÅØÙḄឋÛOEpফᱥᙽB·〈¢ᔣeSḄᨬÝ6(SmoবᱥᙽBeß8*☢MNḄᜧo9ᫀপt◀┝lB)ᱥᙽABáBᱥḄᜧVA.â3.6x10-3=4.0m/s9.0X10-4110ÅØÙḄឋÛOEp=—+—=16J

67s2ãᱥᙽBed〈¢åᒴæçSBæè-BeSḄ6(ᨬÝ஺;SOlᳮuu(3)VB(==4m/s21.2009ḕᦟaS]i#᝞yᡠ{Beᙽᙠឤl᜜F=2mgḄíᵨï8*⍝dḄAᵫ☟=³ñᑮ8-óÏ᜜Bô·õö☢ᑁḄᐝeøᙊú⍝çSB±ា©?⍝ᨬ²C,eᙽῃ(øᙊú⍝áþÿᑮA,ABᙽḄ᥅ᦪ஺ᫀᙊᕜḄR,ᑣᙠC#mg=m'জR)*C+ᙽ,-./+ᑣ2R=gt2/2ঝVot—43ᑖ7ᵫ6ᑮC:;+ᵫ<=>?ឤABC#/ᯠ/2+2ẑ4=H//2টᵫ/ᑮ6/:;+ᵫ>AᳮC#=]mVMঠᵫজঝঞটঠPὶRCᑮ#஻=0.7522.2009^ḕPaSᨴὃ#᝞Yᡠ[+ᙠ\]^_-☢ᑁḄbcdḼḄf\ᙊᐝh⍝+f◞]AḄk)+lmn^_oᔣ+]qᳫ>ᙠᐸ/+tᙠᨬvAᨬw8ᔜz]{|}~ᘤ+qᳫdh⍝Ḅ|}+:<[ᩭ+h⍝k)ᓄ+Cb|}k)xḄY᝞Y+gMX10m/s2,}+#417qᳫḄ427qᳫḄᨬwBḄ20m/s,¡qᳫ>nh⍝/+xḄᨬᜧ£

68ᫀ(1)h⍝R,ᵫ<=>?ឤAB;1179-mv=mg(2R+x)+-mv..............(1)fiAdB#F-mg=m~^(2)N[2dA#F+mg=m~^N2ᵫ(1)(2)(3)PC#b|}bFN=FNI-FN2=6mg+2"1g........(4)RᵫY¦C#§k6஻2g=3CH=0.05¨.......(5)(2)YmḄ©᳛A=3=1~R=lm......(6)RᙠAῃ)Ḅᩩ#®2¯......(7)ᵫ(1)(5)(6)(7)PC#x=17.5^........(8)23.(2009^ḕV᜜᪥ᨴὃ)᝞Yᡠ[+ᑖ°2m±3mḄb{qᳫ²Aᙠ]᪷_´µḄb¶AஹB,_´µḄAOᜐᨵᐝḄ²Aº»+AOஹBOḄ¼ᑖ°2L±L,*½_´µḄAO¾ᑖᜐ¿À-ÁÂÃBᙠ஺ḄcÄo+ÅÆÇÈᵫ☟Ê*½Ëᵫº+(1)AÌᑮᨬw+AqᳫḄᜧqVM(2)Bᳫ>'ᓣḄᨬᜧvh஺(_´µḄ)ᫀ#_´µ±b{qᳫÏᡂḄÇÈ<=>?ឤ(1)ᵫ2mg-2L=3mg,Ñ+M•2m-v2+M♦3/n(])2ÒCv=J~~~(2)Bᳫ'ᓣᑮᨬvOA^_oᔣḄᜳ´஺+ᑣᨵ

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7025.2009cḕjk]i#᝞■"ḄMR=l.OmḄRG☢ᑁḄᐝ¡ᙊ£¤⍝¤⍝ᑗ§¨஺NªḄR«☢,4¬«☢ᙠ☢ᑁḄ☢r=®¯஻Ḅ,ᙊ£ᙊ£°ᑗ§¨±ᙊ²ា´G4M¤⍝Ḅ¶஺MḄ·¸ᑗᜐºᔣḄ¼½¾¿?ÀÁÂḄÃ\m=O.OlkgḄ,ÅÆᎷN+?ÀḄÅÆȤ⍝ា:ÉCMḄ¶,¨Ê_Ëᑮ«☢NḄ¶Ìg=10m/s2஺&'(1*?À¬ÅᳫO¼½Ḅ¼ឋÐ:ÑÒᜧÓ(2*ÅÆ1Mᙊ£¤⍝ᨬÔ¶Ê_ÕËᑮᙊ£NᡠᵨḄ×ÒØ(ÙÚÛᶇÝ´ᨵᦔᦪá*ÓM'(1*NÅᳫḄ¤⍝A4ᨬâ¶ḄV,ᙠMḄᨬãv(*,ᑣᙠᨬâ¶,ᵫ⚪çè#জ1ᨬã¶ᑮᨬÔ¶ᵫ89:]ឤRêè'—mvl=mgR+—mv2ঝ22ᵫজঝè'ᓃ=J*ঞN¼½Ḅ¼ឋÐ:…ᵫ89:]ឤRêè'13E=]஻”/=—mgR=1.5x10Iটp(2*ÅÆ1ᨬÔ¶Ê_põx=ঠy=-gf~ডᵫ÷øᐵ4/+y2=ú2ঢὶýঠஹডஹঢt=0.24s26.2009^ḕaSᨴὃ#᝞ᡠ3ᙊᐝᙊ⍝ABC,ᙠ"4#$☢ᑁ⍝'()ᐘᙠ4+,-$ᙢ☢A901ᙢ☢,ᙊ2஻45MN8ᙠ-$ᙢ☢9:)3Aஹ;<=>Ḅ@ABCMDEFG/+.IJK)Lஹ#(ᶍNGᙊ#(ḄNᳫPAᜐRD9S

71Uᜐᵫ☟XY=ὃ⇋\]^_.`1bcNᳫPC+defាEhᡭᑮ@AḄkCᑣNᳫmnC+opḄqᵨ_ᜧNtSᔣ᝞vw`2bxyNᳫhznC+{ᑮ@A9Nᳫ|/+Ḅᨬᜧ5<8~wᫀ`1bNᳫ|C+${ᑮM+o-$F)"#{5<)᪷R=-gt2o”2VgPC+deḄ<)Nᳫ᜜mnC+ᑮApḄqᵨ_)Mᵫᔣ2_V2ms-N=m—Rzᓃ2mgN=mg-m—=--,R2ᵫ¡¢£NᳫpAqᵨ_ᜧN)gmg,Sᔣ"#ᔣ.`2b᪷¦§h¨ឤ¡¢NᳫªḄ5<«5ᙠ஺+NᳫḄ<«ᜧ.⌕yNᳫ{ᑮ@A9Nᳫ-$SᔣḄF¯)-4”,ᵫGNᳫ±²$Ḅo0³<«ᜧ-$SᔣḄ´|«ᜧᦑ¯yNᳫḄᨬᜧF)4ᑖ,ᡭᑮ/V+.h¸{ᑮN+Ḅ-$<)᝞᪷$¹NᳫªḄᨬᜧ5<)H,᪷¦§h¨ឤ¡¢£,mgGH-RH=^fnv2H=%+R=5R2g

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80°ᢞᙠgᜐḄᳫB´µ`ឋ·¸¹·¸NUºᜫOPQ¼·¸rB½¾Q᤮ᑮd°w0M,ᳫA®ÁÂÃᔣtÄÅᙠÁÂ☢0AḄPw,0wḄᢗÈ0'dPḄL/2.ËÌᳫBm,°ÍÎL,D(ᳫw,?/SGMg,UVWXY/,I:¹1¼ᳫBᙠ(ᳫ·¸rÐÑḄGMᜧ;¹2¼ᳫAᙠ(ᳫ·¸ÐÑḄGMᜧ;¹3¼`Ḅ`/ᳫAᡠbḄ.ᫀ¹1¼ÔE¹2¼jÔ×(3)—mgL816.ÚÛ/ÜÝᘤßàᑮV]OAᡃâ¡C|!ãGFᓄḄ/[ᳫᵨᩩUCæÎḄçÍßà,ÍḄèéêoᙠ°wA.ëᳫᙠ82☢ᑁᩭî᤮q,ᵨ/ÜÝ_ᘤ!ïÍð°wḄà/ñqÑFᓄḄ'H᝞¢ᡠ¤,Z?/SGMg=10m/s^IÍðḄᨬᜧôõ0.ᫀ60°

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