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Transcript

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2 )-f<kqbuq{<outqnb<ujlbl<-hihin[nvib<s<sqjlbl<,fisi uq{<outqjlbl<-jovih<hqbuq{<outq%m<mjlh<hfqxuel<,dzg Sgikivjlbl<,w{<o{b<wiquiBg<gpgl<* Uqjm qjm;dzgsgikivjlbl<,w{<o{b<wiquibg<gpgl<-hihin[nvib<s<sq jlbl< 5/ gqpg<gi[l<%x<xgtqz<kuxgt<wklqvh<hqe<siqosb<g/ n*yvfqb,m<me<uqjswe<hkyvgqvil<fqjxbt<tohivtqz<1ms-1 LMg<gk<jkWx<hMk<Kl<uqjsbqe<ntjug<Gxqg<Gl</ uqjm;yvfqb,m<me<uqjswe<hkyvgqozigqvil<fqjxbt<tohivtqz< 1ms-2LMg<gk<jkWx<hMk<Kl<uqjsbqe<ntjug<Gxqg<Gl</ N*uqjeBl<wkqi<uqjeBl<wh<OhiKl<yOvohiVtqe<lQKosbz<hMl< uqjm;uqjebl<wkqi<uqjebl<wh<ohikl<-vouxhm<mohivm<gtqe<lqk osbz<hml</ 6/ Gtqiqokipqz<Fm<hk<kqe<Lg<gqbliehbe<GtqiqwiqohiVt<NGl</Gtqiq wiqohivt<we<hke<ohivjtd{i<k<kg uqjm;gtqiqwiqohivt<we<hjulqggjxf<kouh<hfqjzbqz<)234kg<gl< Gjxuig*jug<gh<hm<Mt<twiqohiVt<gt<NGl</-julx<xwiqohiVm<gjtuqm lqk<kqxe<ogi{<mju/w/gi;kqvujam<v\e<,kqvuaqzqbl</ 7/ -mrspqkqvh<hk<kqxjeofi<),*gxqbqzl< uzr<spqkqvh<hk<kqxjewkqi<).*gxqbqzl<gxqh<hqmuklvh/ 8/ ohivk<kg/ 2/Huq=i<h<HLMg<gl<(g).e<lkqh<H 9.8ms-2 3/=i<h<hqbz<lixqzqbqe<(G)lkqh<H x Nm2kg-2 4/ Kh<hig<gqSMl<OhiKnke<-bg<gl<.fqB,m<meqe<Le<xil<uqkq 4. Huqbe<fqjx.5.98 x 1024 kg 6/ gif<kyk<kqjsuhql<hlig<gz<.kqvuaqzqbl< 7/ kmh<hdsqlvf<k.kqvujfm<v\e< 9/ohiVk<Kg; 2/uqjs - Kgms-2 ( or)fqb,m<me< 3/df<kl<.Kgms-1 4/kqjsOugl<.ms-1 5/uqjsbqe<kqVh<Hk<kqxe<.Nm 6/g e<lkqh<h.gk<kbvk<jkh<ohivk<kl<npk<jkh<ohivk<kl< lixhml< 7/sf<kqvibe<.Ilx<Xl<II.lbqz<silqn{<{iKjv 8/ohVfgvr<gtqz<lqe<kqxe<nEh<h<QM.GtqiquiBg<gt< :/kuxgjts<sm<cg<gim<chqjpgjtk<kqvk<kg/

3 n*fqb,m<meqe<-v{<mil<uqkqbqe<hcyu<ouivuqjeg<gl<nkx<gs<sllie wkqi<uqjed{<m/ uqjm;fqb,m<meqe<le<xil<uqkqbqe<hcyu<ouivuqjeg<gl<nkx<gs<sllie wkqi<uqjed{<m/ N* Kh<hig<gqbqe< fqjx G{<ce< fqjxjbuqm nkqglig-vh<hkiz< Kh<hig<gqe< LMg<gl<G{<ce<LMg<gk<jkuqmnkqgligdt<tK/ uqjm;kh<hig<gqbqe<fqjxg{<ce<fqjxjbuqmnkqglig-vh<hkiz<kh<hig<gqe< LMg<gl<G{<ce<LMg<gk<jkuqmGjxuigdt<tK/ -* Kh<hig<gq SMl<OhiK G{<M nkqg uqjsbme< Le<Oeig<gqhib<uK wkqi<uqjebigl</g{<mkh<hig<gqjbh<hqe<oeig<gqkt<tukuqjebigl</ uqjm ; Kh<hig<gq SMl<OhiK G{<M nkqg uqjsbme< Le<Oeig<gqhib<uK uqjebigl</g{<mkh<hig<gqjbh<hqe<oeig<gqkt<tukwkqi<uqjebigl</ hgkq.- 2/ n* fqb,m<meqe< Lkz<-bg<g uqkq uqjsbqe< h{<jh uqtg<ggqxk/-g<%x<jx fqbibh<hmk<kg/ fqb,m<me< Lkz< uqkqh<hc sllx<x Hxuqjsobie<X osbz<hm<m lix<xl< ujv wf<k yv ohivtl< kek Yb<U fqjzjbobi nz<zk yov Ofi<g<Ogim<cz< njlf<k sqvie -bg<gfqjzjbobi lix<xqg<ogit<tilz< okimi<f<knokfqjzbqz<-vg<gl</ w/gi; Oljsbqe< lqk jug<gh<hm<mt<t Hk<kgl< ye<jx gvkouil</ Uqjs ye<x Hk<kgk<kqe< lqk osbz<hmikujv Hk<kgl< Yb<U fqjzbqozob -Vg<Gl</ weou yv ohivtqe< Yb<U fqjzjb lix<x Lbx<sqg<gqe<x osbz<uqjsweh<hml</ N* 21 gqgq, 31gqgq fqjxbt<t ohivt<gt< LjxOb 10 ms-1, 5ms-1 Ougk<kqz< osz<ujk hml< gim<mgqxk/ Nju Olikqg<ogit<gqe<xe/ Olikzqe<OhiK nju okim<mg<ogit<tl< Ofvl< 3 uqeicgt</ OlikZg<Gh<hqe< nju LjxOb 2ms-1,4ms-1 Ougk<kqz< osz<gqe<xe weqz<f1, F2-ux<jxgi{<g/ uqjm;m1 = 10kg m2 = 20 kg u1 = 10 ms -1 u2 = 5ms -1 v1 = 12ms -1 v2 = 4ms -1 t = 2s uqje;f1 = = = -10N wkqi<uqje= F2 = = = 10N weouf1 = - F2

4 3/ n* uq{<outq fqjzbr<gt< fq{<m fit< uq{<outqbqz< kr<gukiz< leqk dmzqz< Wx<hMl< uqjtugjt Nvibh<hbe<hMgqe<xe/ -g<%x<jx fqbibh<hmk<kg/ 2/ uq{<outqbqz<gi{h<hml<(i)lqgg<gjxf<klxspx<squqkl<(ii)nkqg gkqi<uqs<s (iii) Gjxf<k =i<h<h uqjs Ngqbju lek dmzqz< uqjtugjtwx<hmk<kl</ 3/ -K leqke< uq{<outqbqz< kr<gl< gizk<jk Gjxk<K nostgiqbk<jkbl< fq{<mfit< dmz< fzh< hikqh<jhbl< kvgqe<xe/ weou uq{<outq fqjzbr<gt<fq{<mfit<uq{<outqbqz<kr<gukiz<leqkdmzqz<wx<hml< uqjtugjtnvibh<hbe<hmgqe<xe/ N* F = Gm1 m2 / d2we<hkfqb,m<meqe<=i<h<hqbz<uqkqbqe<g{qkucul</ fqb,m<meqe<=i<h<hqbz<uqkqbqjewpkg/ n{<mk<kqzt<t yu<ouiv ohivtl< lx<x ohivt<gjt nux<xqe< fqjxgtqe< ohvg<gz< hzeg<g Ofi< kguqzl< -jmk<okijzuqe< -Vlcg<G wkqi<k<kguqzl<njlf<kuqjsbme<=i<g<gl</ 4/fqjxg<Gl<wjmg<Gl<dt<tOuXhiMgt<biju@ fqjx wjm 2 nch<hjmntu upqntu 3 ohivtqz< dt<t hvh<ohivt<ntu 4 nzggqozigqvil< nzgfqb,m<me< ohivtqe< lqk osbz<hml< =i<h<hqbz<uqjsntu 5 -mk<kqx<g-ml<lixik -mk<kqx<g-ml<lixl< 6 -bx<hqbz< kivsqeiz< ntg<gh<hmgqxk 5/sf<kqvibeqe<sikjegt<biju@ uqz<kivsqeiz<ntg<gh<hmgqxk 2/fqzuqe<l{<{qz<fQi<Lzg<%Xgt<nkqgh<hvh<hqz<hvuqbqVh<hjkg{<mxqf<kK/ 3/Huqbqe<LPucuk<jkBl<Lke<LjxbighkqUosb<KnEh<hqbK/ 4/fqzULx<gizk<kqz<Lx<xqZl<dVgqbfqjzbqzqVh<hjkdXkqosb<kK/ 5/35.g<GlOlx<hm<muzqjlGe<xqb$iqbytqh<Hbz<gjth<hkqUosb<kK/ 6/fqzuqe<geqlutl<hx<xqbkguz<gt<ohxh<hm<mK/ 7/fqzuqe<KVuz<gt<lx<Xl<Lg<gqbh<hGkqgt<hx<xqbkguz<gjtntqk<kz</ 8/fqzUh<hvh<hqz<leqki<gtqe<djxuqmligh<hbe<hMl<hzGjxgjtg{<mxqf<kK/ 9/86fim<gtqz<40,000k<kqx<Gl<Olx<hm<mhmr<gjtHuqg<gnEh<hqbK/ :/nh<hozi15,nh<hozi2fqzugze<gt<fqzuqz<kjvbqxr<gqb-mr<gjthkqu osb<kk/

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6 -* lqe<oeim<ml<=lqe<kjmxlqe<epk<kouxhim Uqjm; N* lqe<epk<kouxhim/lqe<oeim<ml<=lixqzq 3/ Ogicm<m-mr<gjtfqvh<Hg; n* lqe<epk<kouxhim ; Ouiz<m<lQm<mv<weqz< lqe<oeim<ml< ; nl<lqm<mv< N* fqv<lqe<fqjzbl< ; lvhsiv<nx<xz<weqz< $vqbnx<xz< ; lvhsivinx<xz< 4/ lvhsivinx<xz<&zr<gtqe<ohbv<gt<gqopkvh<hm<mt<te/neiz<nux<xt< sqzkux?kuxieux<jxh<hm<cbzqmg/ )gix<xnx<xz<?$vqbnx<xz<?fqv<lqe<nx<xz<?n[g<gvnx<xz<?njznx<xz<? Huq.nez<Nx<xz<* uqjm;fqv<lqe<nx<xz<?njznx<xz<?huqnez<nx<xz< 5/ gqp<gi[l<%x<xgtqz<dt<tkuxgjts<svqosb<g/ n* sqxf<knx<xz<&zl<we<hkyv<nzgfqjxg<ggjxf<kntuoujz osb<bg<%cbk/ uqjm;sqxf<knx<xz<&zl<we<hkyv<nzgfqjxg<gnkqgntuoujz osb<bg<%cbk/ N* dhobigqg<gg<%cbucuqz<dt<tnx<xjzlq{<ml<lq{<ml<fil< hbe<hmk<kzil</ uqjm;dhobigqg<gg<%cbucuqz<dt<tnx<xjzlq{<ml<lq{<ml<fil< hbe<hmk<k-bzik/ 6/ wtqjlbiegxqbqmgjth<hbe<hmk<kqyvlqe<sx<xqe<hz<ouxdxh<hgjt -j{k<kh<ohxh<hml<hml<lqe<sx<xh<hml<weh<hml<hz<ouxdxh<hgt< we<hjkwu<uixhvqf<kogit<ttzil<@ yvlqe<sx<jx-j{g<gh<hbe<hml<hz<ouxdxh<hgt<we<helqe<gzl<? siuq?lqe<uqtg<g?lqe<kjm?nl<lqm<mv<ohie<xgvuqgt<weh<hvqf<k ogit<tzil</ 7/ gqp<gi[l<ujvhml<vlx<xl<i-e<okiv<jhg<gim<mgqxk/hmk<kqzqvf<k lqe<epk<kouxhim0.8xlx<xl<1.2xdt<tohikv/i-e<lkqh<hgt<weeuig -Vg<Gl< V/Ee<lkqh<HyVlixqzqbiGl< 8/ gilig<gkqv<gt<-bx<jgg<gkqvqbg<gk<keqlr<gtiz<outquqmh<hml<nhk<kie gkqv<uqs<sigl</

7 uqjm;nz<hi)α*lx<xl<hqm<mi)β*gkqv<gt< N* gqp<gi[l<%x<xgjtolozosiz<zl<gkqv<uqs<sgotimokimv<hhmk<kq nm<muj{bqmg/ %x<x (i) njulqe<gif<kgkqv<uqs<sgt< gkqv<gt< gili)µ*gkqv<gt< (ii) njunkqgdmvukqxe<ogi{<mju gili)µ*gkqv<gt< (iii) njuwzg<m<vie<gt< hqm<mi)β*gkqv<gt< (iv) njufqb,m<vie<gjth<ohx<xqvg<gqe<xe Nz<hi)α*gkqv<gt< 9/ 2/6 Vlqe<eqbg<Guqjsogi{<m-Vlqe<gze<gt<6Ω?21Ω?26Ωlqe<kjmgt< lx<xl<siuq-ux<jxk<okimvigg<ogi{<myvsx<xhmk<kqjeuvg/ :/ lqe<dvgqgivqbl<lx<xl<=bl<dozigg<gzjubiz<negl<hqngl</-k nkqglqe<kjmbl<gjxf<kdvgfqjzbl<ogi{<mk/ 21/ gqp<gi[l<sx<xh<hmk<jkdx<xofig<gqabg<g-jmobokighbe<lqe<kjm gi{<g/ R1, R2hg<g-j{h<hiz<dt<te/ okighbe<lqe<kjm1/r 12 = 1/R 1 + 1/R 2 1/R 12 = 1/1 + 1/1=2 R 12 = ½ Yl< R3, R4 hg<g-j{h<hqz<dt<te okighbe<lqe<kjm1/r 34, = 1/R 3 + 1/R 4 1/R 34 = 1/1 + 1/1 = 2 R 34 = ½ Yl< R12 lx<xl<r34 Ngqbjuokimv<fqjzbqz<dt<te/ okighbe<lqe<kjmr = R 12 + R 34 = ½ + ½ R = 1 Yl< 22/ njmh<hg<gxqg<gt<ogimg<gh<hm<mt<tosix<gtqz<dvqbeux<jxk<okv<f<okmk<k gqp<gi[l<nm<mj{jbfqvh<hg/ )Kk<kfigl<?kilqvl<?giv<he<?givqbl<?giv<he<.jm.Ng<j^M?nZlqeqbl<*

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