<Text-field style="Heading 1" layout="Heading 1">Question 1</Text-field>

Two identical masses are traveling on two rails.

The sloped part of the rail has a friction coefficient LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJ0Yy and the horizontal part is friction free.

MFNWtKUb<ob<R=MDLCdNFZw]DA[@Zi`rSH?\\K\\aN\\@Nd\\QgqxhiJrLoeqq]AyWYqeDnqLLPlR<DJ<Aj_DLSqLK`W^QugLnrljN`P:MQC\\V`DoCAqS<SudoGap]Uvv`JCMQ^IPCXR`dKrDsFlXLTMM`P?QkeHJGTjk`K>Du]@Vs<LJ`KBQLPlRRdqFLLfpUuhqyHxhaX]@xJYWoXYiqYyTPuTOgQK;tvhiQyYxytxvywkelQxlUBZaY`=iyQBiwtUoITwIQyW>yVk=Y:[RLiH]CiBoT:CRy=etWiuWhpgWUqxHoeAMyaugRCEEII[AB>MT=GUvqvsSHiuFC=CBKy=ATOeToahlcy=sBH[WWcsYwWoSXsox:;VFMuTQulyB@kBLkRuyvu[ccUwHEeqiimmuVWynAf[ISagR;=tyocPodPOtMsFH]gOytoeXoUwTUUUuRVghy=VVqhDYW^cvm=e:[cPeV_evpYrAwCiMEEywjIE`Mr_SV@YvacgZyYKAesGSYYtl?FbyCsCtLMTLMUoihXWGdKGpmc`yxnWeSYws[S:kR=EcAUTMUTSId]sRX_EGiV@IfNGwY=HaaWOmviGMn@PBLyPPuTQuGLmLUYZIjAlq]xwQ]oREx_dVtQsryRV\\xG`wG\\UIUJjLTTPtQiN@AvQQS>mreyXexSLipxQYm`vNpV^DWg]rf=tQiPvQwdQwlQlLPlWDUSEUoMYGus?eR?usdQuxASihocMMgiYmmvM`Mdnb<gyJpmMN\\LNqlOhlOgdYweydcVwYvtxqsBOsywrvAsXX``iaAVqGHs__ptNfh>wAvcnhnEwlxf\\tQqxxd:y[xxcpx[Z^enVtRWdMWxrQv?Ykq@_bysWXaqP_yvayinZovynuN>xO>yo>ZZg]LNf`>weO[Yw^TPZvxr]Ix@pqaXwtQa;fxxwdQwdhFux>jjGtfPf`of`gq`_]=xogVep`g]?hj>\\hxqQWdwQmlygkvviw^KGj]Yjxp\\EAgTfcMGyQYiYw^Zpc>ItN@xKhw=>]Hfc]Yw[hp>GnixnaxnqflPplxAhvp\\oiunon;Qwi`pRycEpybVx=Xf=pQWYemtfGUwUfqidwYwweVvYFwiu^Uy:kW_;iruSCwbL;d[wwASyXcBxAXyYUNyVc_iIeVxMGqYfFyCHWCtQUjwDfStuGDGohOgwIovqYdgYBrgTPwgfkYbQe\\?t>YRMay[ae\\yEDEexoWfYfcuYDayJCWXSIwYV=GuxaCYIuG_Et;B=esUwHiuutixeyDXaGsAGf[GvEXnGcAAUnIECCidSxu_V^aIPgwe]YdcsbauAID=ggmcyC?RpwCZqRnOTy=I;cIRmSVCCTYT^GtvWWioTuYhy?CBKy=aspIIn=BfaS_mYTAtAeVxMe?;f?=RJyFUyBZAXdSxuCERAtAoYG[BwMhw=BkpTrYoFyoOiPuUP_mYZ<wIDt_]SWUSC\\[HOnxfsDNy_Qecyo;?ZgNZ<pi:pn;a`Gys[^ZZa`dyunfuiHgyqceFr[hbJVx;wenfrIopI>rc`p:yoSa_Rin?vif?w=@mINy^WY?UZOtxcdrIgNyclsI>aWJyFU<NP`UpLPPXOeyTpySSxM\\MPbYlgYJBhPtpsihrx]lsIN`QjxDuxFpBgiXpdrY_rYoFykx>\\kV\\nIspMOPWtiT`ynTtypLy;]r<=taTuA<LealvapRXxqXoFySqEy]hRZAwZxC;bISsvaXysyMqv<YfNGy;Ih;uefuMvyqXTNo`T_mYT>nFy[H`[tafuEvIIGexe_siaeSwhMgdxAHWoxYKFUyJyEo=AmppwN=VqtQp\\x[<wuLOUyVKT[rYc;Q`yf_pYqb_sVab<`bJyhBopyVkgwh;>v@^lcyejvvfgd`yoSbPCFbYuToDg?dgYjUXtFAohhxeqJy\\xS`JwUUeePmUss\\q:<XemU]DOYUovipTyUepycEL<pQSqaj?aOixepqYW:UB;KU^kB=oyPgGU]yt=dgYjRAn>HSMmytXrYdVxEPP\\xEYsEiU^Uy:<Lu]XitYglxMQnyLsvQV^<wUiMSqQZuYpmmk]pudloIovxS_mYdtx]`sIIv;uUaLMSqaK`faqaBI_NHweqrxNmpynFysx`a]f]gWuka^NopyFuQqyLvjU>Z@qbUNyb`siQL\\?]Afo\\AnFwiboriwrKv`SqaZwgpwmk_h\\fxehk`ieugd`yr@paHVsnimjOrKhw=nsS>Z>vq`?^JFidVxMqjxVlGpxQpfrqsh_kq^qG_pDhcmfyZIsONi\\GuoCJgw=ksCAyCkxKyRwYwCAr@oINGySaHbYIg]FwEsFIYFWRH;uu;vMQDKmuIQEmkEQQVyoTQawGadsIuj;wuCc`Gfrox>;ui;uIcS:=E:[RqcBuUGbyde;ye=D:DNbyRFdXuAjwALZiwCUtvQmhytnrROiPoDCOvZwYwGdn=xoSIYaF=utW?spIBZMvb_siGuf;u_gByMekef?]WNGwucV_sIAoE:kFPODhcdrI_LxoBAq[GsXix<VqMonRQjSqi\\HtMwrA?ZBpeqPmk_fTyuXp_UF]Ey_UhrEY`FXcinfuqusOklvqbnsnim<`gY>hPAFgybQIyoDuIwtwIecy][ecYIWCux;DwaevSvBwCcUBYcgjywjsfgWedyIygwpuyuwupcCYwdPGFMyFUyB:sbDkdsIWesUgEwEUcJ[x=qdgYxk<JKIR_mYglvviwdThW_dCNy^WY[r:cdsii]mY^uscUX[ITDayBKy^Uy:;D=KYF_tLelMAZwg`;wmfKkLlZHw`qQaasvhmf=w==tYTxAHse]N_YtL>^thhRVtPIgkxu?VhHqdDayBNy]pthofixnOBBoYdSxu?WFau^grxMYPyxnOC;uY^ERYAsXArNGD:;uAOHwenOHyemZgNByRnKXvuuVGy^cG;\\w?EKUpooYwhqYNHyK\\HBnoHEUgvihTyUeoycED<oISqQj=QOixepqYUJ:lLcULnIsp[Nwq``yoKwQQ;umfuM:LfWYsYWkwQEvrtGmYFbY`GN^[Xt@padVxMqoxGpTovA?taVU;F`=GMyIimswMUMqyWorNih>cYJgw=tjMqjxds`ErhduTyxlHlk`mZxSpxSpBAWt`kIGovWUYOmvQSCUKyJXlgkMEmYPpxelsIWPFbY`gYBr[eDayn?uIutwieR_xK[xiEfEAetTms>jRQnOnyT_waaplva<pyg>g^xncoiTO:?u\\?ViOHycByeC<;CtIH<UTvaVuAJpUlydSqYWTyuhYMtALnIsp?Z@HbE^yn@tIW[xapjykZxcpD:[EHefwMGkYTcweWQsvACtJ]@nUPybTwQiSx]wLmvA=taJFHjhuvehrxMqhyMgYOwIKtaVu?Z]_n>@de^yIoZpWxEpt>FlZxcp\\aFrlvaggvUq\\?Hc\\FbY`G<K=]obEPayWQapy]POHyK\\HNr>Yg^fve`siaps@xb_`NHyK^xCqx;RRgxRCg_OGmYt:;FLgVx]BwjCLncpYOHyWXPmqX@MV=uM<pyRLpwUqYqkK<JJDMWlrn^pRyw<HaaWw>olsI<IH_Uym?upuD:;HdKegkib]sVdVxMYX@kSYV<pyR<wt`KSqQ:<Vf\\lcYO]_sYW`:npCNyWgeWGq=VZ=v`WForgqXahwamMo[PWoSXeHybP>Zjndt`gfXgwQq`y]h`jl_e=pi_gf_qhwngpY`Of\\OVaePodpm`VuABroYVEtdsYgoxQQgyIxviuXGxviV?ir?ysfquwWYIoemMXlMW@oiYuUYuiDucAmEs]VCigxudQASxWshsBbGuf;y_MdkefPwcdkbTOveeYhMckExSMU\\MV>sVLShlOhdqWnYHTgcfeWgeGtoUYcB>UDOixeoiyMhKqyLaCYnrUnu`@oDNysIysy_cInfwiwQyoY[ApmbwZH^]RQoqYhmWhYgqOywT^`VYlgQhZ_i@Hm\\wtwhlKnecnohPg=ycu^cNX`aosfvtfOntymFasFQyeiyFggggw@RKyTxOxO_RT]Cp=fSavI[sUqT_MEQkXFUxosWCWHtQUAUyuorwEFYQt_WSYOWeUWEytCgDtQYGeSGYvTCbi?UkOvE]E<=B[ATR=UrQf<gi<OyoUHaowhag]sRH_ISMUTMy=MUEkX]WYsyeD[WbYHTQHyGXIKytCvnMROuTQudeaBEkebMyxIbAkErqSDMSDUGAoC:=ibChBkUD]Etqe<kiXwDikUvgbPObWCgfwSUKyb_sIUiticn_si[G_SY;YDd;Y<GW[qU<MR<ut=wCx;ygmCS;bjMtoOY_]ydyX<UgC_XWsUmkcEqdgSubIxr]in_DfaSSoysUXhYl[xSaH`TAk@fiW@dtFpnOlcYyPplPPdGpqsFTSD;eyIoVRcD^YbiGWJ;DV;DJQRjMcxSF[shSaGRiflsiEqR@HLCLy\\XLe<qZuSIQU:yr[IJjDLnEMKUPHPqf@oOdyGdKGTOUPmTPsRUT>tnLEmYUnsuddVxuHu@pa[gq]vm@Wu[xs:>`K_pp@c;ye;wempkPxfiodDyZrFjdFsNhxeVyQa_:Atqia[ayEih<Honofnv^TOoKIqyxtBOmawr@wxrYyUQ\\FpmM^ivAl\\ywtglP?kJIiR>qFAouwjbYgOo\\G@qIVxqVpZy[pht[Qmppwpvy?h][h^xomjwy_XnWFeaX]gWqMiigWqs^GGtDkuu[VpawSit]GgVKh<oy`MUKkcT[CMaJrDml\\ynaxnqNTMJZ<w=<XrXMWImI<k?]WgXK:<J;uM:>^bybCfghH\\vHZJ>`K`h]yltPqthhn`:qSViV_eVpWyAUW=uewSYpaylOitOYmMSDMs?IvfQuA[caWXaqsw;yUSS=UR=QgFasFqBPKc;;Fbycmcu^URq=ud?gb?YPuuioUwOymyEwAwAuYHIV>aRUOH_MsS_yvayDov`qvlcCxSuUYumyVGQeo]FxkIxWePIcWKeg]Wf]Wv=WtaxcihnoB`Ku[YrAwHSofs;dPodPQvr?fyMv>IcoWipewtEUqIxYMh^EsQqIoIgIeYXeEisbWCd\\OiiQf\\ts_eV_eqoqvUxWxYt[XRApqdem:XjD<JtDLcENaQtpDvPMxkXxZIr=xuDmSHmWMAJJpT;aRmpQyuuNyVjxnaxNEQwqmyj\\m^XrOmUXmMOyycdUmxof`oVqoZuULMTlXRotpTIpIXrG@W\\huVaPdqtHQlT\\KbqMiYx`isUyREAQiAQempKUMsAwLpkhAyAIX@]NOqtPqWJyVLumGeWYuYehufUnp<weEnNpy]LyIdJmPOdiWKdwnIqOQmMdYg@VZ@n:yvPIMnTuR\\uhxXrdme<PK]XcYUCtrjmJ]HTuUXXdJseutTpxpqxgh^PiGWu\\OqWqwXo[kNnOymxaxah`totf_lxvqf>xmxq[XpGPuwxgnvpniZ<ibwik`GrEXkExmKyfoIyaymYYoZxoSvr[hiJ_tIwwmfgDNZ=N^_itQweWaoSvbTOZp_\\VahDgiLhg<piJPpwghdPsvImpfbn@tnPu;XZAnpdQ`Npf\\`xs`tmf_]am]Yo>XbCxjt>dgwtuvhhaudNe@FtDWpGPwI`xsgdlInIaoxppW?tINgdOgdVtog`Ww`Oyi@wtPAeRyjB?toY`_Gj;ItnGf[GvE`pDX`cxqKwq]P\\wfwTyn]is_X]>WlJIu@gXoI]wtUgWnguGIYnMfO_dN_IM_dN_thec:yHoqxpqfUEeySFi]SbcsrCw>SiiqiuqYvoVGQeOYfWQRTkxZexqcWquuwuxmIIsCIiwEykYvYXdssnIyvEXTgt[_IMCd^GUjiyuyxyuw_ydYmysOwoyIgEhLKvguHdsumgU`wC:CdPKIEYhlevDyGjosBCdZGWveUX]ECaW]SUeQjKLt_hr\\Pn\\xVO<yOIwL\\xkDt<xxF@Un@WKqPOxk@pUqxqSLPw=J:LV>TUeQJ:<RJyJ:<J>dYRQsPhOU]yt=tL>tQF\\nIvjgv_ivhNe;>ZwG\\BNykN`tDSABJyD;?fI^Zw?uw_bGipmBwED<EXmmEAkeZMYHkS[GXlGBZwG<CexWbGci`mro[H:[x?=FbYIj]VGIS?;bx?C>cYHMH:;fiKFbYrCyFYcg:;bx?[Sfg=>ZwG\\;w]HGaCQbYHgOBwEDRQUQIVa;eXwbP?sjKs@pqB\\Z:JBTtuAJ:<LnIZ:NJ>>::::Z:?tA>Z:^:;JZ<G:::::>;;J:=D:::::>\\nIZ:RJyB:;B>:]roeXoevTuSh?r=\\jMXWRxK>=lApNjmn;Hj;`jaqXfAoeDOgdy[EswyxyAVLanCuTfxlwapFVvcHocHofIqaqmu>iexmEx`GIjVasFQioYbMy\\f>ygGcCGsH`n^`npvlEi`BW_H_]qGeSG]g@v:gpof`UVxTV]Yni]iqqqwWhiaimOptCithOm`v^Q>jkyclNqtpvFO]V^mnibYx_hAsZAfvqfei`wN]vn]iWmO^wE^uhquIAywqwywwhqsxYyXpmcwdUXmyQy_XvAyaQPmWhiff^_fv\\Xugq]Zh\\CNyRVbPxesXiqqmYixoinxhwlGyIwr?ieUH`]obg_moaceAZRR<MR<Hq?dJyYlquswtqrqu[XRYeuVLxXyXWqwx`p\\PnaUPETKquP^lNp]qKIusurMltZAv]qj[madymXpgb?ecIplxynaxnqf<vy>AvTpq=fmsVh`YvEfixvcPhxoYlPAZZHygxpxIpaxnaOwZAvZ_]gXZZ_umxbe>qeo`kQiiin_hno`_R?pZyqYNy>y^p^hXIiagvH@reIyPYveqeiOyYv[YnungvDilfwmOyfKQl>fiFPbGgdOy[ppxpqncYw\\VwkVnyxasawSYpEQygxf=hjnbjAihQe[sdEivMAf:UHGWXQ[Grisx?yrYG;yxPEUIwXikUvWUEocoSRCUDL[xkKRT]TMGXoQwgEi[sgwEiywIcawkWVIoUooUqoRMqWTEC:]FRUB:siXCriYDx[s<]UXUG]yCFaRL_dJ[xkKDoetOivWkTJwUMsDqeHn]HWytSIYAIymyvQCU]Gw>MUC@k^dNGdKY`UP<m?`lTTwKHlN`XcDPkDp]<pJAmDTN<pQ@XoohpoEvsyXYiqyQUv]YIyMFUXZHO^iqyUMV\\mnMqhpwKXWQqo_=ywqYlhY:TL`YjIlQRhYnAv;yWFmoixUsHNjQuEpt]YPCDKWuxflUvisNatNyxvlMITKGx^Pncr>sUwbIpgFo]V^kIAmyviiOfdOwsywxHy`YnyF[Vw^uy\\yxuvqdmWxYahn_hFYdg_gV?sFK<IvHtmIiquAr;hoatUueweumopqyqYyuYLQYe<qytwmirWqlKHtruUSEu`YuiuqwAqPTyshuhqYT]kFuM=atWiuWhxpIoMuyjEu]IwwXV;QjYaLiLUnYnY=ywqOi=vweRxipPYvNyMyAyspuXquCqTpxskxJJlXSlWquUHHVrYQgHJ:uloiyAyJ@LLQPm`Ar_qohHuiqtQyoD]SF]wF\\lMTPoxSJyrjeqk=xZyPLeofpYpamsto^xnaxPcMqf@whYqY=yi@luhUOxKHlStuv^IsIuUx`YstraeknHWo<J[atbMm=XxEXkYHsv=w[xnXqOgdupyTCDKWPobLojPydXKPuYnPnxpYoqqQlUryuexTipVLMpA=tAAPc`t?EUxupoLYpTTMusqmXpmuKQtLQXyMUPmtkxMA`uJxRoUyEdoKqxUygugbYweYOk;QcS?Z[of_>^Q^daxePodpHqnYpYhy^Qlr@qXfqhHuAyoIn[@iavGwLGr[hyuyq]ixtW`RHjFva@odH>hfikqnyoq_e>kYNpH?n]wrHhiKwkZYico_Qxoo>\\jivuXZ=FkeNgewqN?eR?y\\anCWlhVm`Hso_`:Fv^ydyVvkAivXp`gstNt]gaqfxqy^aqZXai>QsryhYpawyhQoaVY^^QpUiwhinCAsnIhMf`ihqpitMotCh`of_gh^qfawHgHob@WfjI`SQigY`;Hlo@gdg_sxpqfxVIqmw[pyxqy^Khw=>mBIZ:axcWtHxt?`qZXamipWWqpWeZpdynm`N^MyrG_tQytipcS>]B?x_n^px_SGqlItFV_JyZPovAv\\?AqxgymxmwpeagkfXk<Opwy^XwiwIpsVh`aqLv]YvuGq_Q?Z`NcUWiuimsInCWkoAmhg^a^^Z^ftA]HolYgdoYZWyfyVhpaw=GcCGcQPdMWdIyn^`nnPgaQo:YnoGrwxxxavaH^o>ptHeIHtKI`QQspyyTQspIqSw[:@pjQywqoJQdvfuE_^oxoif^n>wyW_hnoaofXoe?vlUF[tAq?xtXGi_yayqxditFa^qXqqOdlOxuqtCWh_>h<Hy=w]qa\\Qvynyl=ogBYx]V_Uyax?wJylSg`E>fV`y?onXOfoYaGgcGWkoH[RIjdPoiytxQwQWiIpZhAsQafwndt_aXqsSX`ywaav_iifeFbs@nu_xMak[oaBgv_ivnPjGapohp_yytwvHytLiqXaxYFyvGhdhiw_r_QxGamlfvniqYVyRY\\mqvGYuaXlAWotyexGv?PsEfogxxVqgGpoy_ar>ac^xqayAHgH^mkpihIvOWoPiv_ivwq_jOrKW_E>f>gyKqYwiwEvvUUUErdueIiyb=Ss;htqfa[gxGwVgdkyGkOvGQf:YwoqEIuwxUGeweQ]TnWhZ?fZusNGGMmsbmTL_Sy[yBAxfMGwcHoiIYMV\\urySUa;eDaU`WUiGgpqyDideStoUxWcuousrAH<Wi`sFasiyeGkChmYCYkWpWxaUfkaCeyRngg_gxaMtLSDMSu=uH=AB:GvJuENgeXounYYYwsm=ytcyFmh<cioYViqV`mHrODLKiNgtyMHysi<ud^cDfYBMUy=[h^CexkW:UgVeTQQEteSXEBUuFHMboMT?sDmIwxSyTeDUytQydvUfT;UWMDBcym[hh;bKaxAMeW]htIeUkGBYt`OIdYfNmdaGe?ucOGxAKbwcyHCexkW@uFFMhOGrYuw>SC^UwxArQYbTIrDQCdieqcEwibvIE:;EioybqBwec;uY==tAAssybscEiyVTqmbDwI@L;]oXyZ:FB;B:[Bw>::::::?fIBt<J:DBZ:@wkyihVuL^no_aJvD;B:;RLEdMCde?DR?>5:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlITQmRiotJS5CT1VORFNfSEVJR0hURzYjJCIlPz9GKi0lKUNISUxEUkVORzYi

What sentence is right?

The masses will reach the end of the rail at the same time.

The masses will reach the end of the rail at the same speed.

The mass on rail A will reach the end of the rail faster than the the mass on rail B.

The mass on rail B will reach the end of the rail faster than the the mass on rail A.

<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>

JSFH

We can see that the mass in rail A will have less contact with friction surface, thus:

The mass on rail A will reach the end of the rail faster than the the mass on rail B.

JSFH

<Text-field style="Heading 1" layout="Heading 1">Question 2</Text-field>

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

A ball with mass LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic= is connected to the ceiling with a string.

The mass of the string can be ignored, the length of the string is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEibEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic=.

The ball is diverted sideways while the string is under tension, and released at a height of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1JI21pR0YkNiVRImxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JS1JI21uR0YkNiRRIjNGJy9GNlEnbm9ybWFsRidGMkY1LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZFLyUpYmV2ZWxsZWRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKlsxMjgsMCwwXUYnRj4= from the ceiling.

While moving, the string catches on a bolt and keeps on rotating around it. The height of the bolt is 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 from the ceiling.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=MFNWtKUb<ob<R=MDLCdNFZwZG@[@Z?q^g`EpK@`N\\@Nd\\QgqxHqJbTottu]yjq]YJ]TndPb\\L_erPUL<MS\\Tx_TsdeOk`qmHWXiMihqfXwruVSuVeMoghMVImUqUWPVLiOq`oVikSIPiXYQiw\\LOllVd=kDHm`=s`LO`LOiQj\\PJ<@KqaYHpm\\Lv_IYZIYstvstqiasSxvgAxjmmyIyYxwsiqvuYyxqIMWdMo\\<LB\\JPEjIPqoPsj<K>LjhALQtLqITlMXlQRmxyHtUsdl<Dj:QTPpmrxppYnsHqs<YOQoOuuHTMp\\wexjYlYrEWXmUXMskXVAqVI@MkLVQAukXVq\\kSTP`yy^]l>lR<itexTA\\WSQp_iusTX`asMHtrHJyHoMunDAORIkgYuqxqkMwNIoATWdMW\\xRH`MsXNcDOcdkghn_>bxoixayfawfilGf[GVj=Wb=Wcfo`UIiSF`;xnkXfAqkyqan?wJYhdiktAsZIr=xkCAkBFwSikmyvIykCasFayJg^rviOvdIqmwVacF^[FfGxoixgmAl[VbHpkUv`hWrrIx]ytcXyWIr>WdC?xYI^=Apj@pM`wiV^b>hqNsEYs]adevwwnvfGhkGxNYihIqag`midBwcBwsh>o>xx;V\\@Xq_Pg_iiTOeTOmZpqxp]SF]sxbYy^j>`jQ[iHmVO_Kn\\Nf\\OfaVhlOhxHgdOgtrflrQ][>bSFc;XqJHlKHxQYkQv_H@jnAuNypv?[?Aew_e^Fl[wZBXukH\\AYvo?cB?c?alcVdxApuwxhatevdh`[eAwioguhwphymvfHaeVPlLP\\o^irAxWaryAkAnwTipeG]MFd@gdZQwsVilavCybRxnvpvkv`qvx_ps`YoJpmZYaJ`q:`uNwxoyirXcL`rR>`Z?rcgtohiIVoiVauVygpoxq]QqlNwyvIymy]W?pZGrnnuEwcIwuspgWQqfxoxPydyarqiSff;Xpaa_mQlsVsGylqQ\\MV\\QoxgYuq`m^pjrxp\\qupGk=vZH^yaGb;GrV?cEvxoNatNaUNvuHwdq\\hwuxhyGglFvh=_jWiiQ?hj?x??kMgm:Xofo`UgxCX\\anfdqwiPa[V_<Wb=wsCAkENiEhquwxx@nHioAaxsVoHYqTOblNwVf_PwgZYsNO^FYpl?o??ciX[ZQ[vyoDXyiyqyihO`wphpya]\\Xob@oBXjNFcd?aliuFOqkVf@af>yrAyoOwwFiilOhloeWypiwuEfcGgcwAyFHsdvf:?tMHauHf=qjI?haGmmPyGplIAxFOcDOcLV[EV[aWoXybthdMP]<OiW?vFImmVlDQsDQ\\`gsThxvwfM^Zev[lP^mWuMNn<iy?Qh>`yJHrbXllO^Sv`lXrdyrx^f@hvF?[fiZlP_BxwCy^Y`y?wbmol>VehoghYsRwitXweg`B@aSIbJvj=QrmghP^k:_pdGbxfhtaxcIoBpmancV@qD_hPOjhAb\\`[EvoeNb]o[]Ne`nsa^na>wP^^[>s@QoPNxlvhsX_J>^SyeXWbx_ZbHhU_vf?[tXZDGZBosXHydPiWFrxoixGZhPaPXgQqoo^pn`pr_u_pxQHg[_gJHh]VdFqj:O]lYbvasWaapn`pfq]@e]@bJqlnAdY>u=OiyVySysXIkIxkyotOwrlpiwQy^Qr<QrGObtOZuHjuWkpykgAwKYnmG^:_Zb@c\\o^F?mjprX`[l@bJI]TWeUwouPyY?][yhDFwS`\\r@qf?qy@qi>qWAe?@lYvwEGwU@nA^nQQv\\ywQNtM>aAiyW``cOtlopmwvHi^xGy_ylE@\\`PlvArwip\\GuKggggg^QsOX_EhxQIocHoxN`M_m<OeDijEv\\BhscvtixeQogwhxPgrAyrvWbeNlOvZ;pqCAo>OjrH]gy]\\yfnqirxQ]Tn=bvmVO_vAKXFcXXUT`;ifMx^IsyiDOcDoWtdWxO_GgeXoexRkvguXuqcXcItIhjAxjabHqIQuvKOxSyVYGGysysysc=r[_ItAw]oCWSSxmYxQYoAUHWc_wFjmyCeiSMy@qRZSEeyCqydR?FPyEP=fqWiy?Uw_IdwHbgePmeE;W:exlyrXQFZ;F:EiiqiuadtOitkWxqvwoI>OFvWE^sH`wSYoyDSE?;wAmcVCUZWiy_ryAib[ikyXQmTPmuCYfBWiWWc=ubHCGxoixOsnGWMaSuYE>_xV[BwKsjUDGAeccRXQr@Ws=mxQ_sicrcQYlYbrAfq_ea_sFasqiTqeGm[F^[fLmVgWxjgWUqH`IdLCESCG^wVO;V_CiM]efQknXuduyjuYQaoSUXR@U_]SF]S@\\Jbmvm]TWeUwLmAYQiaqmYVexsQmWj]ubhmKtj`DlkXWQqO_mvFIm``SZ=wJptLmLADXxLy>lypypyhqOLre\\Of\\SHUSEUO=`u[\\Rmly`PplPprmMiEq_qli]rmDOIXNXXwFxwtlXfAMoAwDakSTPFeQ`LVcIKxXRUewYlwidut<pDDSx=mc`xgtQytycmMApKWLY>msdXxjXYqqW_=v:IjDPQY\\jnaJXiJ\\UYNTnmHl?dNsIRcTLhLlKYSYQwdQw@`MylYvIX^POlmNWXkgXUqPOCDKCLSypYwajnaJXYKthXjHv<TwGxKbqqEhva]rLypDQsDIXvLUWMo\\aWNatNAtWhRsYvYtybMyYQN^xvZ<qrioRIv>dUYpwxQnwYrwiNP]JcIwhyoK\\pyunIumPapNLNOEXhlKV<QZ`pn`pbMQwXsQxOUPuTYLLYXJludXWm]JJdmXMy@uqy\\uYeqmYKPymaPmMmPplPpyyvYxIyUMDoDyxZ\\N[akl\\QlppbYxNUSYaxhloJpmZxtQdLULtB\\uYMpx`QAQy]PN>imTyQwels@mR@mFMVu]V\\Xv]Yvy<lm`tu]KYlQVPPodoXqLWpmrxp<Ts=tlYuOwURdQjoyjpyKEAUquYWeYFdN_dNqAxRDLKDhkha[^aaIfkQv?Qu`i[JNtmcuWIaSeK;WyQuQoicIsIsTpgiI[CF[iFYVweYwAfb?gbws^aSB[bnau:sEOCB;CBpsSvyw`of`OI]gcAUyLyHnwYvwwDohqQY\\gR`EvqAF`QsGOUTYWCCws_C[Gf[whicUt_hRYDyYYSQh_mbW?ugYSYQupgiYSIp]w@KEZ;sfIxvKGeSGOgsUwHecIcyxCyuJQgHAwksI[cI;wRVyupgWiiXqydr=FkyISexGYXZwkIxQxAUeimAmpPIL<Yvi=Sr=KcIK>lXr`ntUuueqniKcYKPymfPy`qUvaxaNovOycyn\\e<ww;gFLYed[bTQuTewh?gxuRQWyc_FZ_TN]TJIH>UdD[XqwiSItKUuuqheoiSEhgii:=SIAlEltMxq=esxqxUyWetYsYsY]PlTnwtsUtWvHn>hj?hXrxYCESCPxTYWiHOAtKX\\Tx@y\\YKEekkpUtqRixQV_twQtuycQqyCQoiox=ImWXl?`x>n[?YapfgTanSggexdipdpqwWYov`xLYcnpaLoliveXIvYar>arbwmIh]unlR>mov^aWqpxxtQoi_rvAcx?sdxgWYjjAjRGs<OihwZPo]hNwfIumhpQQoEvng>plyoygyeXtyHgf_gNOhmWhOxexQxQP`:PsGPtq^pK`gbwyDN[Dnm<iyOydwWxNGwUhl:amg^_f^bh_n>yrAY[cIe?^lSGtahsKv`QysIycE>\\qhjti]Woo`fxoytYWgEiwGwmxfe@fqWNuewynQtqvgfWii_Zj`u]OeTOmlykysJQhuwVIqeOmuvUxGevQyixihcSIbSCcIIBKIKqB?cBOqxnywUKET[doWWQQvp=GmuvHiwnuigYuqWTHeVtQIAuTuoWXaupquSUxOWe<uW\\QYnCEjGufMsHieuCgpETXoYtIW_irQsUNqd<_fPsTBukM=pBMxYyyxyX_ixQyUaMPdTNAmkNQVueM;eXWalCYlaTLQQl;Xp=LYUYYp\\oyLmG<wepqsPpnisbAr<lndTnqtu;]YsDOcDSumMLLL\\`QqaumMUbiRVYU;ux=hoL<MPiuwyxYyoOtWMhmw]ykyry]vtQlshQsMx^PxDYOi@sZhx:dWoxYnmY;UyAMr=uXyeRuyvRlJGLMnYjQiTOeTDYKi\\q:mVRalyxRPlJlUNBxYbpokpV[iqoqtUMMClXN`sZxXSlwiiuquugTjPYKJTu=ixWMp^EsWDsCIsETOdLO\\uTipUwis@ikUttM`KKHLl]K>AmmLPl\\lymymymDaqsUxFUq\\LmJpm=@RqavFdmRLPNHL]lRbtpYqYuykxTNXxXiiqqQOwYyqywKeK^@n]Yx@EuUMSDMSNDxxLWyuTgPUoiOS<VwxKY@ne]Mx\\YREYaimq]pRqMkeQLLM`]jYdJ<QJuILWdMWhuOux^et<UwiPLPQtpywMhk_<KFQWL=v=yKy\\nOLll@WKQnY\\trLlbAUp`WSPxBYNI@WWIW[lQuUvtMo?@yADQ=euVivwo`MQcx_yrIxeqrFH]MHdMWdmYlf`ofxpEN[DnvdxmWw^pyrxnunYmOIaSWgIpdi_xbItIhjAxja^hpIiN_dNP`aosVfwkYjIna:QlPonGWpyvaLxmYxqxPqtPyrxnAYb\\Oih?ZtfaB`kZyw<ijEf`sP[cxyOV_P?glolp@vwYcQp_cgdR^ruAhmgZhHbUqpqQIqfasIvCupquSyiKIewwEoaR@KC>ognmf@mbJoeu]gEcvIyYxYhp?iDKf]MDQ[TT]X>[NBHm:]kKHlKPPrmW<pUtqnqmY;`yB]j:mYhqWuuuU<NWIwhTTGmRQPLypuvqNfhQmpTDDKcIQB\\XI]VyaMGXwKHwThPemTqyN>eX_eN;Hv;YK\\hUcYmhhymuVUYyXAjPdUVTOLimHqx[`lIuNrUYxXxFImmLURiJcQKrDX\\aj`@PRMqnEoJpmOV[:Ou?YeAiygaogiaP>nKvd@YbM@cpO]<pvraxThfwoqX^ar?xQ?e=`fmhwwqcTffvxxXYiTOx<hlJAkIwqvQxEqnwHaEFws@Z>avDN[D^eliu^WiOYqn`[lXmKqqnikhx_r@kJ`[k>b]@qy`]E^fAodtoyvIyIPbt_hcHjnAapom]Vvk_jjXdLOdNXqhQqEWwd`cEXPuiuiecSGk[bnaUBct\\;TP[GR=fcAeVGg_MWdMWLQGrkdfCU\\SbfIFn]tpqE\\CFuKWNohqAig?i^ACmWuDChskSXsfFEe\\ATPweU_GPmeQabj[VTSIY[dfawUyhIUYhaSLYFE[W`iRPgiGkRgUYIgDACGMKcKYvp]r\\GXgEYgexD_D[cIQLPNLpiPJeAnmppqQYlYrWaR=hPADL]EklQMquLLlwdXQJxqyxqEexKmqxpq@@vUDNwtJ[dUbeJWEnwUuuwirhltQoi_atXwr>^x^ow>[Q`bFQn?WkhQwdyglWhmWtNOnVAoxfhtG]JPwkAyQplPpwMNtM>[v@]tpxIwwvQjOijuYwhppqAqr@lhnogvyiXq^ibOgdOIdpvoqar^`[gYiJ>y_WkF`kVYtMywbaoFfoe^ev@iKWwSob:AuKhfqQu=OsJakCNsTA^VfqniC]uOcDOcILQtLQDZQgLyHxWT_kt\\yWxGy`yu`isUwxr=VZ=vOCIUKRt]gtkHfsFasvOYSQoGcedyAi\\CSCEScmw^cIdyWYyYyiY_IyayeiiTyaI[cI]YRYUh\\CHkCXOgs`UgxCX\\arFagf_gq]TESWVOwLoT>ob@oemmvyYCESCuCIt]xbiGvKsbYUVii?_wRATaWwoodrWEWirV=uYIe\\avFasFeVeqtgOUAiD;ghJqTuybAGfqgiQiuYuVcuyF?G\\oDLYXM[x_cBccG\\MXK;u_wtTUuCivHaGUKB`]fgssvSxFotcCUZeUeySicY=UyA]EHceWCx:eYOyHScF[cIAggt_uVauQ?h`AW^CYYiYqigJiR^oeLMteYW_=vLqWXaiSUDXSC>[rqaxLyHfwIPeYeiRUYyH_R\\odi=tbix^wbZSdCUrW]duKWQebRqw>yRYcY^gXTEi]qcu[doYwQYepWCg?ro=bbAut=tpquaghogta=t?WCI]RNyUsMuPatnKgf;GbUTcAv[swYUCF[GOuvTUgOGsIYGCucCMbRSDqmDLWHTQiBKguegNqtPQW?UuqcuUcSJaGwWx>cE;uWuus@mvQ?xFSxU?ayQu?In[^aYymNolydcYuqEV>Mt=eyuaCT[fV=Ik]IpaXXmumyB@sCCmgECCs[R=aTeODYwT_uW[CitQytIr>YR\\Of\\oXv;x:YBywhSaWaIiuKIeyYFSEp[wBChPosB]hu_wgOSBQUgaGEMwKQhaAt[WRTUYrQf\\OFgSXUkEXkgoUShIC^SYeeC<[FUSIcMt^gDBiUZPwvIYmHn[HVj=UR=uc@nZ@nEELOdvidSRLXEMsWusvTMTySWxS;YJ@<O=tRGPT\\Lv\\Yyp`WIqYlaUBuuGttwayhtun@y>QtmTOSIv@QNqDNkDrt<KHaNtpX^xte`SRDpvLMCpWUqpGUuZLqlPpldslYnKAOWaO^HYb@rX\\pedYU=mXpmxIUruyxyLxaXIajkTvxeprxkLaXgyJuyJdpm>AqSUpAdtheuvypilWE`m[PlXUnthpRes\\YxDLt=`wbEn=mPPAwWlWcqPE`R?uUjyJqplPMxUpPgMTlMXl]lJAtJEqThJHTUy]lwHoXlRTxskQr_ey<yjGXx?xrhhyrDQp<WNAS_\\x\\ij>qv[Ev;AkQhtghtdmLYHoCuWyqywyq[ETaUPOYrL@pZERZpXPPoLuTQungxQZDKGDRI=R\\QRouXwYVtaxC@qo]vb@J_XLo<JoqQ;TJ@lUkhUsPXqUt:HJumW@qx>iqoTJB\\vL]RGUn>uXxyUlDr=ujHdQLiTqPKAELUTMEQq?LUeAO;@natxLMlQ<lXUTEix`plehkDPt?`JdhpsHuAeuihlwINEumUtXTUsRUY``Nw\\USAkB@kv\\xpmwHQsLhQELKDLoomvqMpjMPU@RJYS\\YxutwayYfpn^au_HvGeSWlrCMUNuo\\HylinJPu;XjHqxOEkLEwRUsaitjdu\\uutuol\\xEmTimjb<LnxXkUSuAup]myTY@yncpn@hVIqYnhmw<YjHyNumJ`WpiVmPvrDmD`xbDt;iqVXPamk[es\\tMCLsC\\Q>IY^MVUeyvQwIdJ@tYN=peYpEeOoixDFpkYqgpqlPbsnxoydQvqFN[XWcLVv`ovPQhjfkuWkffZEq[<YxNW]hWijgytix`Y[Qn_N_pn`pnVqmyyTfnefo:Yf>xtDFlsYyuy`X`wUygWWg_IiUivIo`xFhuAx[If;I^wgldPxlX_aQsEY]l^y<vesp]R>eT^ohyfOGjlxcdOgdH_H^\\EvkROmaxlX_rwpnUV[gIjtVpnad>NiZO`Khqe_leyulpogxotWrG^gdOgdydQwdq^bWqgcYtJwap_b]itcWbvayhw_dGgw^hp>_rwkI?hjGgB?cBgnGqfePbBawayvQafoVkIa\\PIZSOedw[uXgqgwH^hQhpggq;F^YFjuwwrwuUOiG>]A^f`wotAyVfsI>[vfnxvx=QoE>[B>oAYe\\YhoIi=icQvtlolXH_BwkfgofPv^>\\nWw\\qpZGq[Gr;ofdYx@qv`qvxNaciu^^rEahJovmV_PWfRPjnAhaFk[ih`qcD^Z<x]TWiRGhJN]_@mr`qtFw;?kJh]IpdoPx:Hnmxp^v_JF^UFs<Yj>xcYpawfdhF`;HdghqUpghidOQnu`oXWaQNynIwMWro^reouiWbrObtob=fc>>wbOf^phQahoh\\LY\\RfmvqgTohQApdA^t^_vXmoppQiodqtTnuwhnWXaCWZcglg>\\nakrahQxd@Pr^nlXpudNsMheM?hiH\\>whqx]EPaEadL>[>`xtgZPqZBHkCHsjavk>^MHn[F_SYvhpxSWqpgwxNiTHsn;lpjPqLnhQ>hgHsVV^FptYY^x@oi`cix^T?uIAww_y>NZ;i[RNpW_i_gf_Ps]Vvp>][gbpglnQ[OOfUocU@iB>`tNatVeI_ofiuuxx?Pr<QrSapqPlOYv?nb=nuAVsa>kxht>nlXFpvVn>Isjp`cAw\\x_n^tpObk_mfftandX@rB@fSYtv`qv`\\SF[M>lXFs=^ndnbsn]dHbBXwKIoSwiIvlQv`Qh\\d`fTF[F@g_IncfnaanFpjC^uUOk`XugVgaIdZQqlPxNocHoseHv[IvYomsbS_fxsYgIcakeribKWIx?CfWCVQU<UHKGdKWY^]Hx=C=IwnAhb_cbqGl?xDSsgigUuhhScQAivoR\\kV;?fggdA=w_CIsCY[_c@GCVYUBucdwB=iuW[ywyg\\qvdysS]RVmfI?rB?FPwFkmVMCdXCs<SfX?HfSi;Ub@cEISCESIC]i>qE[Qh:=vhYwAcwbadcST^EvqqSZ=iRoEoIb;Gb;gX=mbFCId]HQGBKKXoeXo]CGMEEWcEwfXkIv=yscd:ScFoXfOBeQf`of`KYlavCyguOWkWYk_xV]v@MEkOi;?ECUYEqcuOW@mR@yU_OE==V>;FmQt]ms<SdKoEkCC]gEQkG=uVhabNquD[c:gGUmhvWSfGUf_IMGdXKwk=c>oGeKXt]B<Sy:ixLSEUSeHOg:mR=aV^wBbOXjKEciXOuBf]fxuY<Sw;?xDkWgMV\\MvDEEGSdLoE^KtOuVMsS:_WRuRo[cJ[hXAb:=FjaBbCdNgvN[wAGFeKHDUSEUDJKBMaX:AGAaVmGuHyr?ir_whpohtYDmCfFmw[wbXKQqUo]HK>lopUWmUXmuU`PQBdv=`kBuxj\\VaaVhQU^eRChwSDObTkx=T>Es<Tn:Xw=hvKekj`Pd@qqhq>lW^pUwANJ<KtlJSQuLPlLHklLLX=RtMQkItllUHEl:=x]=N[PRqLSFEU@UrE=SItTL@qX`m\\DjZyjbtOitk]lnvatMuSwDNT`QiLNwLPr`rf\\kPhrO<KvDKhxJ^IOREYLaTZxVj\\VpqTAdoSIOhylMaNJ\\u:dxYAsa`R>`w?plX<NhxlPplPmNaHSZeXZdS[Elsmt]ELS`lQTlXlvuTMaTUHel:Qs>xlXpmxXleAR>@xXmSt=VfAukXM>`x>lT@LmOmt:pmtdXdQPSdkXYradPoFvINLefUeYlMs>kT;cuuMCESCMGUVyRPGXn?d_wBJogVcIt]Xh_ehCbO=b@eX=qbGseFOEoKGU=CIQb^wH[Mr>gH@]wkwFJ;IUKiFUcrkumwsxSYi_HL;Xx[CgCUKIbUUsl?dbux>]cc;x`uXPcCXUR=UrZyBX;YZyx\\EvS=uLYBfKggcVcMBiehhAupkWVAiX?yW_Ho?DEuw@SIuQypsVauVygfTeYOKh:qh:YufWi;SB@[DykxRYVEgf[cgRMYYIBqoD_KIGSD_ahC[i;;Sk?Fv[GuCgj?XY[S[CUcUCTUV]QCB?SM=V`UwHWeqctO[Ff[RDgFPoUQ?VL?Ty=CkIscYDRgCumxfIYSCGDChu[iQCFvsx=aHkcIW[hgugdOgTsTPmTP?Hl]vBiElMC?kV:CSrWTaoSw;EWcEwgc?Ai_EbrEhnaE<ccMcyvayTcvnICFoC<IHemtfGIv]vBId?;DXCcDCd\\?c_wvjKB=SBi?Hs=G<qEykYvLpZLk:AWZ`XLdp;ispAW?UP`]srETVEUk`xteJhqlBuTR@UlMM?lR<pMqXn>`K\\XlFaok@vimv=xrGiN_yWnhTMaJPYJSDUDeNKeLJ`nR`PcMtlEMODXieU\\qv`\\N^\\osaymysYUvHPSLXRHEo:im:UWAiSQTsHpPbMOSISA]L[dQQYj<dwFasFyKR]MVLNNXtd<XAXKuIsatmvio^`n^DT?Qo^`n^`PPTwK@yl@lXXU:MT]QwOYo=tqwqxUIw>lk_apD\\U;llW]uwXYq?tJAtLNpl@eo?sI_jbas?viiGy[^hOhf\\NlRAnVgcV_[;X`:o\\PvxOFsCV_Jhr@qr`Xl:WrdXlKI\\LYxr>>uUI=bLsEK?CBKY<kWX_bF=wtMR<_c>GuFIemsDEAsruBFuTuUWI;cq?vlQt:GTlOi<SYCoCQiDQkdsUBCIxX_XnIxx;Y?]SigI\\SF]sxJGswuxWyXmitCUUbSWaQCtKrxiyuyY=_s^urHgEEIS>=g^sXeYbIkIrQSv]YvQUhmd\\oBJKtmsdYqgHMUOQuuKdOgdoqXweYwiGLqXU=RwYWHmSHYgUmhfEYICgMETKEt=ITKETu;gP?FeyEXkEx=T\\Er\\quToE>CfCWxK?vRKIn=wK_r>XO?ivoqYjmsS]SDLV==QvtVHams]QLtv_qJbdoCajnaqX\\ra=Uy\\lF\\uLhNEmwJLvmqM:mVJ@MkAQl`ovpNKhnqxM]TtdDSgDj_ASIuJSEQ^=KfTOCurTEKNUmEQWA@tRANldqStNIyNH]mrPkmEsxLNaDLBDwo=XkAL>qsEYsEENEuN?Dv@apFIq;EpRipHMXKDLKDYVXPwIqR=X<DNwpMV=UrHqbIpr@Yb\\LQTsIiqZpXOLXMYqBTLuerLtnZuM[<PkEQ\\=XVxL[<Q;@lXXlZxJwHp\\<UZEmEDl@xkLtxmmUBEjklNmLSREJEikaAkxupfEeWOvkWrAx[Yik?i_TAa;@lXxZfxah^rMx^Ioa<onQweEAbB>puOf=Q\\=o\\<FrOwdQwrJo[rPioQwi_xFH_[`Z<Q[toxNO`bPZ[fa=Hey?\\ZFuXOpx`eb@qU_aTGdEirr>f;Hbd_kE^n@`[^f_gfoFxtFX[SVddHfRy]EGeLN[<F^wVl<`rAn_intXn\\G^^BiZGh\\BGqUvwSHevacFf[LxvqFfCHxuWkEXka@b\\W_P_or@niFqSPlLP\\?ygiyuyxikvo]Qv\\qa\\ypEhr`>\\LYp:>^;__x^p[_fRF^H`v^aVkTIUV]UVy]bJAD[[V<CUtWeR;cUGRBaEQkTT[v>WiHWwhwV@uDf;MTdsS\\x^LJPXMkhSW@J_pXS=N^xNjXsdMNX<UQuTq\\lHMqJLNiHYYLlKIKLhYKIK\\ln?@jZDcHOipVlIYqtgk_nnyiaYy[kHxwa\\GYxwA\\X^^@o`NNr_gxr>cIhyj`uZFaC?]B^jnaZhWh_FihXq@QqZOuXOt=@photPvi_XqQPdmN_J>[cI[>NZ;ykjyyxFv^gy?Ww<FV;B:;RLEdMCde?DR?>5:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlNVJGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiVJPEYqLSUpQ0hJTERSRU5HNiI=

Calculate the Angular velocity 'LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5Njk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJ0Yy' of the ball around the bolt at the highest point of its rotation.

Given:

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

<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>

First we write the energy equations:

The left side of the equation is the starting point and the right one is lowest point of the balls movement before reaching the bolt.

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTFHRigvLCQqKiIkKyQiIiItSSVVbml0R0YoNiNJI2dyR0YoRjIpLUY0NiNJIm1HRigiIiNGMiktRjQ2I0kic0dGKEY7ISIiRkAsJiooIiNdRjJGM0YyKUkidkdGKEY7RjJGMioqIiQrKkYyRjNGMkY3RjJGPEZARkA3Iy8sJCoqRjFGMi1JJVVuaXRHNiQvSSttb2R1bGVuYW1lR0YoSSZVbml0c0dGJUYmNiM2Iy5GNkYyKS1GTTYjNiMuRjpGO0YyKS1GTTYjNiMuRj9GO0ZARkAsJiooRkNGMkZMRjJGREYyRjIqKkZHRjJGTEYyRlVGMkZaRkBGQA==

JSFH

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVzb2wxR0YoNiQsJCoqIiIjIiIiKSIiJCNGMkYxRjItSSVVbml0R0YoNiNJIm1HRihGMi1GNzYjSSJzR0YoISIiRjIsJEYwRj03JCwkKipGMUYyRjNGMi1JJVVuaXRHNiQvSSttb2R1bGVuYW1lR0YoSSZVbml0c0dGJUYmNiM2Iy5GOUYyLUZDNiM2Iy5GPEY9RjIsJEZBRj0=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSV2X19pR0YoLCQqKCQiJlVZJCEiJSIiIi1JJVVuaXRHRig2I0kibUdGKEYzLUY1NiNJInNHRighIiJGMzcjLCQqKEYwRjMtSSVVbml0RzYkL0krbW9kdWxlbmFtZUdGKEkmVW5pdHNHRiVGJjYjNiMuRjdGMy1GQDYjNiMuRjpGO0Yz

The radius of the rotation is:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJSR0YoLCQqJiMiIioiI1MiIiItSSVVbml0R0YoNiNJIm1HRihGM0YzNyMsJComRjBGMy1JJVVuaXRHNiQvSSttb2R1bGVuYW1lR0YoSSZVbml0c0dGJUYmNiM2Iy5GN0YzRjM=

Now that we found the velocity of the ball at the bottom we can find its speed at any point through energy:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTJHRigvLCQqKiQiKz8zTStnISIoIiIiLUklVW5pdEdGKDYjSSNnckdGKEY0KS1GNjYjSSJtR0YoIiIjRjQpLUY2NiNJInNHRihGPSEiIkY0LCYqKCIjXUY0RjVGNClJJXZfX2ZHRihGPUY0RjQqKiIkXSVGNEY1RjRGOUY0Rj5GQkY0NyMvLCQqKkYxRjQtSSVVbml0RzYkL0krbW9kdWxlbmFtZUdGKEkmVW5pdHNHRiVGJjYjNiMuRjhGNCktRk82IzYjLkY8Rj1GNCktRk82IzYjLkZBRj1GQkY0LCYqKEZFRjRGTkY0RkZGNEY0KipGSUY0Rk5GNEZXRjRGZm5GQkY0

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVzb2wyR0YoNiQsJCooJCIrcHZDSzwhIioiIiItSSVVbml0R0YoNiNJIm1HRihGNC1GNjYjSSJzR0YoISIiRjwsJEYwRjQ3JCwkKihGMUY0LUklVW5pdEc2JC9JK21vZHVsZW5hbWVHRihJJlVuaXRzR0YlRiY2IzYjLkY4RjQtRkI2IzYjLkY7RjxGPCwkRkBGNA==

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSV2X19mR0YoLCQqKCQiJkF0IiEiJSIiIi1JJVVuaXRHRig2I0kibUdGKEYzLUY1NiNJInNHRighIiJGMzcjLCQqKEYwRjMtSSVVbml0RzYkL0krbW9kdWxlbmFtZUdGKEkmVW5pdHNHRiVGJjYjNiMuRjdGMy1GQDYjNiMuRjpGO0Yz

Now we find the Angular velocity:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMvLCQqKCQiJkF0IiEiJSIiIi1JJVVuaXRHRig2I0kibUdGKEYyLUY0NiNJInNHRighIiJGMiwkKiojIiIqIiNTRjJJJm9tZWdhR0YoRjItRjQ2I0kkcmFkR0YoRjpGM0YyRjI3Iy8sJCooRi9GMi1JJVVuaXRHNiQvSSttb2R1bGVuYW1lR0YoSSZVbml0c0dGJUYmNiM2Iy5GNkYyLUZJNiM2Iy5GOUY6RjIsJCoqRj1GMkZARjItRkk2IzYjLkZDRjpGSEYyRjI=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMsJCooJCImKClwKCEiJSIiIi1JJVVuaXRHRig2I0kkcmFkR0YoRjEtRjM2I0kic0dGKCEiIkYxNyMsJCooRi5GMS1JJVVuaXRHNiQvSSttb2R1bGVuYW1lR0YoSSZVbml0c0dGJUYmNiM2Iy5GNUYxLUY+NiM2Iy5GOEY5RjE=

JSFH

<Text-field style="Heading 1" layout="Heading 1">Question 3</Text-field>

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

The force between two Atoms in a bi-atom molecule is derived from the potential energy function:

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

When LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJy9GM1Enbm9ybWFsRic= is the distance between the atoms and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEiQkYnRi9GMkY5 are known positive constants.

Find the distance LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EnYHJfXzBgRicvJStmb3JlZ3JvdW5kR1EqWzEyOCwwLDBdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn for which the molecule is balanced.

<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>

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

We derive the given function to find the minima of the function in which is is balanced:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LywmKigiIiMiIiJJIkFHNiJGJilJInJHRigiIiQhIiJGLComSSJCR0YoRiYpRipGJUYsRiYiIiE=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVyX18wR0YoLCQqKCIiIyIiIkkiQUdGKEYxSSJCR0YoISIiRjE3I0Yu

We found a value, now we make sure it is a minima:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiVUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIidGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRidGNS1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRInJGJ0YvRjJGOQ==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCYqKCIiJyIiIkkiQUc2IkYlKUkickdGJyIiJSEiIkYlKigiIiNGJUkiQkdGJ0YlKUYpIiIkRitGKw==

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCQqKCMiIiIiIilGJSlJIkFHNiIiIiQhIiIpSSJCR0YpIiIlRiVGJQ==

It is positive, thus the point is the minima.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EnYHJfXzBgRic=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCQqKCIiIyIiIkkiQUc2IkYlSSJCR0YnISIiRiU=

What is the work to move the atoms from LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYjUSdgcl9fMGBGJy1GNjYuUSJ+RicvJStmb3JlZ3JvdW5kR1EqWzEyOCwwLDBdRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORllGVUY5to LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYkLUYsNiVRKCYjODczNDtGJ0YvRjJGOS1GLDYjUSFGJy8lK2ZvcmVncm91bmRHUSpbMTI4LDAsMF1GJ0Y5?

<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>

According to the definition: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kiV0c2IiwkKigjIiIiIiIlRihJIkFHRiQhIiIpSSJCR0YkIiIjRihGKA==

JSFH