˿õijɿ(j)ץoһЕr(sh)gM(jn)Џ(f)(x)䌍(sh)ԇҊ͟oǰ12N,ĽB@12NҊ}͵Ľ}˼Sģ߀B˸߿ԇ}Ľ}ͼṩԇ}Ĵ}ģ棬wĽ}һ͕(hu)һͨһ͌(du)!soղŶ
1ֱ\(yn)(dng)}
}ֱ\(yn)(dng)}Ǹ߿ğc(din)ԆΪ(d)飬Ҳc֪R(sh)CϿ.Ϊ(d)F(xin)x}tڿҳcDY(ji);Ӌ(j)}гF(xin)ڵһ(g)С}yȞеҊʽw^̆}}.
˼Sģ壺D}P(gun)IڌDc^̌(du)(yng)ͨ^D(bio)SP(gun)Ic(din)бeϢ(du)\(yn)(dng)^M(jn)зĶQ};(du)w^̆}}(yng)ٸ(j)ǰ^֮gɂ(g)w֮g(lin)ϵг(yng)ķĶ⣬ǰ^̵(lin)ϵҪٶP(gun)ϵɂ(g)wg(lin)ϵҪλP(gun)ϵ.?
2wĄ(dng)B(ti)ƽ↖}
}wĄ(dng)B(ti)ƽ↖}ָwʼK̎ƽB(ti)l(f)׃Ć}.wĄ(dng)B(ti)ƽ↖}һ(g)µƽ↖}Еr(sh)ҲɌƽķƏVĂ(g)µĄ(dng)B(ti)ƽ↖}.
˼Sģ壺õ˼SЃɷN.(1)Q}Ը(j)ƽlгз̷׃;(2)Dⷨ(j)ƽlĺϳɻֽD(j)D׃.
3\(yn)(dng)ĺϳcֽ↖}
}\(yn)(dng)ĺϳcֽ↖}ҊģЃ.һK(U)ĩٶȷֽĆ}С^ӵĆ}}P(gun)Iٶȵĺϳcֽ.
˼Sģ壺(1)K(U)ĩٶȷֽ↖}ҪעwČ(sh)HٶһǺٶֽr(sh)ɂ(g)ٶȵķ(yng)ȡK(U)ķʹֱK(U)ķ;Ѓɂ(g)wͨ^K(U)Btɂ(g)wK(U)ٶ.(2)С^ӕr(sh)ͬr(sh)cɂ(g)\(yn)(dng)һС(du)ˮ\(yn)(dng)СSˮһ\(yn)(dng)r(sh)ƽ߅ζtҲֽⷨЩ}ýЩ}tҪÈDⷨ.
4w\(yn)(dng)}
}w\(yn)(dng)ƽ\(yn)(dng)б\(yn)(dng)ƽ\(yn)(dng)߀б\(yn)(dng)оDzֽⷨһnjٶȷֽˮƽQֱɂ(g).
˼Sģ壺(1)ƽ\(yn)(dng)wˮƽֱ\(yn)(dng)Qֱֱ\(yn)(dng)λƝMx=v0t,y=gt2/2ٶȝMvx=v0,vy=gt;(2)б\(yn)(dng)wQֱϒ()\(yn)(dng)ˮƽֱ\(yn)(dng)ڃɂ(g)Ϸքe(yng)\(yn)(dng)
5A\(yn)(dng)}
}A\(yn)(dng)}rɷ֞ˮƽ(ni)ĈA\(yn)(dng)Qֱ(ni)ĈA\(yn)(dng)\(yn)(dng)|(zh)ɷ֞وA\(yn)(dng)׃وA\(yn)(dng).ˮƽ(ni)ĈA\(yn)(dng)وA\(yn)(dng)Qֱ(ni)ĈA\(yn)(dng)һ׃وA\(yn)(dng).(du)ˮƽ(ni)ĈA\(yn)(dng)ڿĹP(gun)ϵR熖}Qֱ(ni)ĈA\(yn)(dng)tڿc(din)r.
˼Sģ壺
(1)(du)A\(yn)(dng)(yng)ȷwǷوA\(yn)(dng)twܵĺF=mv2/r=mr2з⼴;w\(yn)(dng)DŽوA\(yn)(dng)t(yng)wܵM(jn)ֽwָAķϵĺ.
(2)Qֱ(ni)ĈA\(yn)(dng)Է֞(g)ģͣKģֻͣ܌(du)wṩָAĵďͨ^c(din)RB(ti);ڗUģͣṩָAĻxAĵͨ^c(din)RB(ti)ٶȞ;܉ģֻͣṩxAķwc(din)r(sh)v(gR)1/2܉A\(yn)(dng)v(gR)1/2x_܉w\(yn)(dng).
6ţD\(yn)(dng)ɵľCϑ(yng)Æ}
}ţD\(yn)(dng)Ǹ߿c(din)ă(ni)ÿڸ߿ж(hu)F(xin)ţD\(yn)(dng)ɿɌW(xu)c\(yn)(dng)W(xu)Y(ji)cֱ\(yn)(dng)ľCϑ(yng)Æ}ҊģBw͎һ^̆}ҲԿR熖}Ԇ}ȃ(ni)C^(qing).w\(yn)(dng)}ĿţD\(yn)(dng)cfɼA\(yn)(dng)ľC}ĿlʘO.
˼Sģ壺ţDڶɞ\(yn)(dng)(lin)ϵԸ(j)\(yn)(dng)rҲԸ(j)\(yn)(dng)r.(du)ڶ^̆}һ㑪(yng)(j)wһһw\(yn)(dng)rֱY(ji)ҳҎ(gu).
(du)w\(yn)(dng)}(yng)oץɂ(g)ʽGMm/r2=mv2/r=mr2=mr42/T2 GMm/R2=mg .(du)A\(yn)(dng)w(pϵy(tng))ɸ(j)ʽٷ;(du)׃܉}t(yng)(j)ĹP(gun)ϵ܉׃ٸ(j)܉׃׃.
7C(j)܇Ć(dng)}
}C(j)܇Ć(dng)ʽЃɷNrһNԺ㶨ʆ(dng)һNԺ㶨ٶȆ(dng)һN(dng)ʽDz˲r(sh)ʵĹʽP=FvţDڶɵĹʽF-f=ma.
˼Sģ壺(1)C(j)܇~ʆ(dng).C(j)܇Ć(dng)^DʾڹP=Fv㶨ɹʽP=FvF-f=ma֪SٶvF،pС˼ٶaҲ،pСC(j)܇ٶȲpСļ\(yn)(dng)ֱF=fa=0@r(sh)ٶv_(d)ֵvm=P~/F=P~/f.
@N^̰l(f)(dng)C(j)ĹֻW=PtӋ(j)㣬W=FsӋ(j)(?yn)F׃).
(2)C(j)܇Ժ㶨ٶȆ(dng).㶨ٶȆ(dng)^̌(sh)Hɂ(g)^.Dʾ^1DŽ^a㶨F㶨ɹʽP=Fv֪SvPҲֱP_(d)~P~ʲ;^2ͱ~\(yn)(dng).^1ԡP_(d)ٶ_ʼ׃Y(ji)(bio)־.^2ԡٶY(ji)(bio)־.^1l(f)(dng)C(j)ĹֻW=FsӋ(j)㣬W=PtӋ(j)(?yn)P׃).
8ĵľCϑ(yng)Æ}
}ĵľCϑ(yng)Æ}һ.һwC(j)еغ㆖}ڶwϵy(tng)C(j)еغ㆖}w(dng)ܶ톖}wϵy(tng)P(gun)ϵ(غ)}.wϵy(tng)ĽMģʽɂ(g)(g)Bһwü(x)pUBăɂ(g)(g)wֱӽ|ăɂ(g)(g)w.
˼Sģ壺}Ľ}һЄ(dng)ܶغ㶨C(j)еغ㶨.(1)(dng)ܶʹ÷(jin)ֻҪxw^ֱг̼(dng)ܶm^;(2)غ㶨ͬm^r(sh)ֻҪЩp٣Щ(j)pٵӵз̼;(3)C(j)еغ㶨ֻغ㶨ɵһNʽW(xu)ҲdzҪ.ܶ}ĿÃɷNN⣬ɸ(j)}Ŀr`xȡ.
9W(xu)(sh)(yn)ٶȵĜy(c)}
}ٶȵĜy(c)ǺܶW(xu)(sh)(yn)ĻA(ch)ͨ^ٶȵĜy(c)оٶȡ(dng)ܵ׃Ҏ(gu)о׃ֱ\(yn)(dng)(yn)CţD\(yn)(dng)̽(dng)ܶ(yn)CC(j)еغȌ(sh)(yn)жҪM(jn)ٶȵĜy(c).ٶȵĜy(c)һЃɷNһNͨ^c(din)Ӌ(j)r(sh)lWƬȷʽ@ÎBm(x)ȕr(sh)g(ni)λƏĶоٶ;һNͨ^Tȹ߁y(c)ٶ.
˼Sģ壺õһNٶȺͼٶͨҪõ׃ֱ\(yn)(dng)еăɂ(g)ҪՓvt/2=vƽ=(v0+v)/2ڦx=aT2˱MpС`ٶȕr(sh)߀Ҫõ.ùTy(c)ٶȕr(sh)y(c)Ƭͨ^Tõĕr(sh)gԓΕr(sh)g(ni)ƽٶȣtJ(rn)ԓc(din)˲r(sh)ٶv=d/t.
10}
}һNҪ늌W(xu)Ԫڌ(sh)HVđ(yng)ǚv߿֪R(sh)c(din)֮һx}ʽF(xin)yȲҪݸƽаݵěQؼĄ(dng)B(ti)(g).
˼Sģ壺
(1)ݵĸñֵ(C=Q/U)xһ(g)ʾݼ{늺ɵĶ(du)κm.(du)һ(g)_ҲǴ_(Ľ|(zh)ԼγߴQ)cǷ늡늺Ķg늄(sh)ĴСȾoP(gun).
(2)ƽаݣƽаɃɘO(du)eɘOgx|(zh)(du)늳(sh)QMC=S/(4kd)
(3)Ą(dng)B(ti)P(gun)IŪЩ׃ЩDz׃ץס(g)ʽ[C=Q/UC=S/(4kd)E=U/d]ɷNrһ늺Qֲ׃(늺_Դ)ǃɘOg늉Uֲ׃(ʼKcԴB).
11늈(chng)е\(yn)(dng)}
}늈(chng)е\(yn)(dng)}|(zh)һ(g)C늈(chng)늄(sh)ܵW(xu)}оc|(zh)c(din)(dng)W(xu)һӣͬѭ\(yn)(dng)ĺϳcֽţD\(yn)(dng)P(gun)ϵW(xu)Ҏ(gu)߿мx}ҲоC^(qing)Ӌ(j)?}?.
˼Sģ壺
(1)̎펧늈(chng)е\(yn)(dng)}(yng)ăɷN˼·֢ل(dng)W(xu)˼·ҕӵ\(yn)(dng)^̷Ȼ\(yn)ţDڶɲY(ji)\(yn)(dng)W(xu)Ҏ(gu)λٶȵ.ڹ˼·(j)늈(chng)(du)׃(j)ȫ^̵ĹP(gun)ϵ_ӵ\(yn)(dng)r(ʹЃ(yu)x).
(2)̎펧늈(chng)е\(yn)(dng)}(yng)עǷ]ӵ
|(zh)ӡxӵ^һ㲻Ӌ(j);
ҺmСȺ^һ㿼];
rҪҕwr(j)}е[lД.
(3)̎펧늈(chng)е\(yn)(dng)}(yng)ע⮋\(yn)(dng)܉EʾDڮDĻA(ch)\(yn)Î֪R(sh)P(gun)ϵǽ}ͻƿ.
12ڴň(chng)е\(yn)(dng)}
}ڴň(chng)е\(yn)(dng)}ښv߿ԇ}п^}ʽ^(jin)εx}ҲоC^(qing)Ӌ(j)}y^Ҋ}ʽN
(1)ͻ(du)傐ƝA\(yn)(dng)\(yn)(dng)W(xu)(돽ٶr(sh)gڵ)Ŀ;(2)ͻ(du)Ӵ⼰cW(xu)}CϷĿ飬Ԍ(du)˼S;CĿ;(3)ͻ֪R(sh)ڌ(sh)Hеđ(yng)õĿԌ(du)˼SՓ(lin)ϵ(sh)HĿ.
˼Sģ壺̎\(yn)(dng)}r(sh)ذաһ҈AҰ돽(R=mv/Bq)(T=2m/Bq)r(sh)gķ.
(1)AĵĴ_?yn)傐ƝfָAģ(j)fv\(yn)(dng)܉Ec(din)(һň(chng)ăc(din))fķɂ(g)傐ƝfL(zhng)Ľc(din)A.AλñضڈAһҵд.
D
(2)돽Ĵ_Ӌ(j)㣺ƽP(gun)ϵԓAİ돽(\(yn)(dng)A(du)(yng)ĈAĽ)עһ(g)ҪĎc(din)ٶȵƫ()ڈAĽ()ABcоĊA(нǦ)2(Dʾ)?==2.
(3)\(yn)(dng)r(sh)gĴ_t=T/2лt=s/v,Ц՞ƫTs܉EĻL(zhng)v龀ٶ
ԴW(wng)j(lu) ؟(z)ăHތW(xu)(x)a(chn)(qun)}Ո(qng)(lin)ϵ҂r(sh)h