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r(sh)g2021-06-09 12:53:45 Y ҪͶ

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˿õijɿ(j)ץoһЕr(sh)gM(jn)Џ䌍(sh)ԇҊ(jin)(li)͟o(w)ǰ12N,ĽB@12NҊ(jin)}͵Ľ}˼Sģ߀B˸߿(li)ԇ}Ľ}ͼṩ(li)ԇ}Ĵ}ģwĽ}׌һ͕(hu )һͨһ͌!soղŶ

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1ֱ(xin)\(dng)(wn)}

}͸ֱ(xin)\(dng)(wn)}Ǹ߿ğc(din)ԆΪҲc֪RCϿ.ΪFx}tڿҳcDY;Ӌ}гFڵһ(g)С}yȞеҊ(jin)ʽw^(gu)̆(wn)}׷(wn)}.

˼Sģ壺D(li)(wn)}P(gun)IڌDc^(gu)̌(li)ͨ^(gu)DSP(gun)Ic(din)бeϢ\(dng)^(gu)M(jn)зĶQ(wn)};w^(gu)̆(wn)}׷(wn)}𲽷ٸǰ^(gu)֮gɂ(g)w֮g“(lin)ϵгķĶǰ^(gu)̵“(lin)ϵҪٶP(gun)ϵɂ(g)wg“(lin)ϵҪλP(gun)ϵ.?

2wĄ(dng)B(ti)ƽ↖(wn)}

}͸wĄ(dng)B(ti)ƽ↖(wn)}ָwʼK̎ƽB(ti)l(f)׃Ć(wn)}.wĄ(dng)B(ti)ƽ↖(wn)}һ(g)µƽ↖(wn)}Еr(sh)ҲɌƽķƏVĂ(g)µĄ(dng)B(ti)ƽ↖(wn)}.

˼Sģ壺õ˼SЃɷN.(1)Q(li)(wn)}Ըƽlгз̷׃;(2)Dⷨƽl(hu)ĺϳɻֽDD׃.

3\(dng)ĺϳcֽ↖(wn)}

}͸\(dng)ĺϳcֽ↖(wn)}Ҋ(jin)ģЃ(li).һK(U)ĩٶȷֽĆ(wn)}С^(gu)ӵĆ(wn)}(li)(wn)}P(gun)Iٶȵĺϳcֽ.

˼Sģ壺(1)K(U)ĩٶȷֽ↖(wn)}ҪעwČ(sh)HٶһǺٶֽr(sh)ɂ(g)ٶȵķȡK(U)ķʹֱK(U)ķ;Ѓɂ(g)wͨ^(gu)K(U)Btɂ(g)wK(U)ٶ.(2)С^(gu)ӕr(sh)ͬr(sh)cɂ(g)\(dng)һСˮ\(dng)СS(zh)ˮһ\(dng)r(sh)ƽ߅ζtҲֽⷨЩ(wn)}ýЩ(wn)}tҪÈDⷨ.

4w\(dng)(wn)}

}͸w\(dng)ƽ\(dng)б\(dng)ƽ\(dng)߀б\(dng)оDzֽⷨһnjٶȷֽ⵽ˮƽQֱɂ(g).

˼Sģ壺(1)ƽ\(dng)wˮƽֱ(xin)\(dng)Qֱֱ(xin)\(dng)λƝM(mn)x=v0t,y=gt2/2ٶȝM(mn)vx=v0,vy=gt;(2)б\(dng)wQֱϒ(’)\(dng)ˮƽֱ(xin)\(dng)ڃɂ(g)Ϸքe\(dng)

5A\(dng)(wn)}

}͸A\(dng)(wn)}rɷ֞ˮƽȵĈA\(dng)QֱȵĈA\(dng)\(dng)|(zh)ɷ֞وA\(dng)׃وA\(dng).ˮƽȵĈA\(dng)وA\(dng)QֱȵĈA\(dng)һ׃وA\(dng).ˮƽȵĈA\(dng)ڿĹP(gun)ϵR熖(wn)}QֱȵĈA\(dng)tڿc(din)r.

˼Sģ壺

(1)A\(dng)ȷwǷوA\(dng)twܵĺF=mv2/r=mr2з⼴;w\(dng)DŽوA\(dng)twܵM(jn)ֽwָAķϵĺ.

(2)QֱȵĈA\(dng)Է֞(g)ģͣKģֻͣ܌wṩָAĵďͨ^(gu)c(din)RB(ti);ڗUģͣṩָAĻxAĵͨ^(gu)c(din)RB(ti)ٶȞ;܉ģֻͣṩxAķwc(din)r(sh)v(gR)1/2܉A\(dng)v(gR)1/2x_(ki)܉w\(dng).

6ţD\(dng)ɵľCϑÆ(wn)}

}͸ţD\(dng)Ǹ߿c(din)ăÿڸ߿ж(hu )FţD\(dng)ɿɌW(xu)c\(dng)W(xu)Y(li)cֱ(xin)\(dng)ľCϑÆ(wn)}Ҋ(jin)ģBw͎һ^(gu)̆(wn)}ҲԿR熖(wn)}Ԇ(wn)}ȃC^.w\(dng)(li)}ĿţD\(dng)cf(wn)ɼA\(dng)ľC}Ŀ(li)lʘO.

˼Sģ壺ţDڶɞ\(dng)“(lin)ϵ(li)Ը(li)\(dng)rҲԸ\(dng)r(li).ڶ^(gu)̆(wn)}һ㑪wһһw\(dng)rֱYҳҎ.

w\(dng)(li)(wn)}oץɂ(g)ʽGMm/r2=mv2/r=mr2=mr42/T2 GMm/R2=mg .A\(dng)w(pϵy)ɸʽٷ;׃܉(li)(wn)}tĹP(gun)ϵ܉׃ٸ܉׃׃.

7C܇(ch)Ć(dng)(wn)}

}͸C܇(ch)Ć(dng)ʽЃɷNrһNԺ㶨ʆ(dng)һNԺ㶨ٶȆ(dng)һN(dng)ʽDz˲r(sh)ʵĹʽP=FvţDڶɵĹʽF-f=ma(li).

˼Sģ壺(1)C܇(ch)~ʆ(dng).C܇(ch)Ć(dng)^(gu)DʾڹP=Fv㶨ɹʽP=FvF-f=ma֪S(zh)ٶvF،pС˼ٶaҲ،pСC܇(ch)ٶȲpСļ\(dng)ֱF=fa=0@r(sh)ٶv_ֵvm=P~/F=P~/f.

@N^(gu)̰l(f)(dng)CĹֻW=PtӋW=FsӋ(F׃).

(2)C܇(ch)Ժ㶨ٶȆ(dng).㶨ٶȆ(dng)^(gu)̌(sh)Hɂ(g)^(gu).Dʾ^(gu)1DŽ^(gu)a㶨F㶨ɹʽP=Fv֪S(zh)vPҲֱP_~P~ʲ;^(gu)2ͱ~\(dng).^(gu)1ԡP_ٶ_(ki)ʼ׃Y־.^(gu)2ԡٶ󡱞Y־.^(gu)1l(f)(dng)CĹֻW=FsӋW=PtӋ(P׃).

8ĵľCϑÆ(wn)}

}͸ĵľCϑÆ(wn)}һ(li).һ(li)wCеغ㆖(wn)}ڶ(li)wϵyCеغ㆖(wn)}(li)w(dng)ܶ톖(wn)}(li)wϵyP(gun)ϵ(غ)(wn)}.wϵyĽMģʽɂ(g)(g)Bһwü(xin)pUBăɂ(g)(g)wֱӽ|ăɂ(g)(g)w.

˼Sģ壺(wn)}Ľ}һЄ(dng)ܶغ㶨Cеغ㶨.(1)(dng)ܶʹ÷(jin)ֻҪxw^(gu)ֱг̼(dng)ܶm^(gu);(2)غ㶨ͬm^(gu)r(sh)ֻҪЩpЩpٵӵз̼;(3)Cеغ㶨ֻغ㶨ɵһNʽW(xu)ҲdzҪ.ܶ}ĿÃɷNNɸ}Ŀr`xȡ.

9W(xu)(sh)ٶȵ.y(wn)}

}͸ٶȵĜyǺܶW(xu)(sh)ĻAͨ^(gu)ٶȵĜyоٶ(dng)ܵ׃Ҏо׃ֱ(xin)\(dng)CţD\(dng)̽(dng)ܶCCеغȌ(sh)жҪM(jn)ٶȵĜy.ٶȵĜyһЃɷNһNͨ^(gu)c(din)Ӌr(sh)lWƬȷʽ@Î׶Bmȕr(sh)gȵλƏĶоٶ;һNͨ^(gu)T(mn)ȹ߁(li)yٶ.

˼Sģ壺õһNٶȺͼٶͨҪõ׃ֱ(xin)\(dng)еăɂ(g)ҪՓvt/2=vƽ=(v0+v)/2ڦx=aT2˱MpС`ٶȕr(sh)߀Ҫõ.ùT(mn)yٶȕr(sh)yƬͨ^(gu)T(mn)õĕr(sh)gԓΕr(sh)gȵƽٶtJԓc(din)˲r(sh)ٶv=d/t.

10(wn)}

}͸һNҪ늌W(xu)Ԫڌ(sh)H(zh)Vđǚv߿֪Rc(din)֮һx}ʽFyȲҪݸƽаݵěQؼĄ(dng)B(ti)(g).

˼Sģ壺

(1)ݵĸñֵ(C=Q/U)xһ(g)ʾݼ{늺ɵĶκm.һ(g)_ҲǴ_(Ľ|(zh)Լ׺γߴQ)cǷ늺Ķg늄ݲĴСȾo(w)P(gun).

(2)ƽаݣƽаɃɘOeɘOgx|(zh)늳QM(mn)C=S/(4kd)

(3)Ą(dng)B(ti)P(gun)IŪЩ׃ЩDz׃ץס(g)ʽ[C=Q/UC=S/(4kd)E=U/d]ɷNrһ늺Qֲ׃(늺_(ki)Դ)ǃɘOg늉Uֲ׃(ʼKcԴB).

11늈(chng)е\(dng)(wn)}

}͸늈(chng)е\(dng)(wn)}|(zh)һ(g)C늈(chng)늄ܵW(xu)(wn)}оc|(zh)c(din)(dng)W(xu)һͬѭ\(dng)ĺϳcֽţD\(dng)P(gun)ϵW(xu)Ҏ߿мx}ҲоC^Ӌ?}?.

˼Sģ壺

(1)̎펧늈(chng)е\(dng)(wn)}ăɷN˼·(zh)֢ل(dng)W(xu)˼·ҕӵ\(dng)^(gu)̷Ȼ\ţDڶɲY\(dng)W(xu)Ҏλٶȵ.ڹ˼·늈(chng)׃ȫ^(gu)̵ĹP(gun)ϵ_ӵ\(dng)r(ʹЃ(yu)x).

(2)̎펧늈(chng)е\(dng)(wn)}עǷ񿼑]ӵ

|(zh)xӵ΢^(gun)һ㲻Ӌ;

ҺmСȺ^(gun)һ㿼];

rҪҕwr}е[lД.

(3)̎펧늈(chng)е\(dng)(wn)}ע⮋(hu)\(dng)܉EʾDڮ(hu)DĻA\Î׺֪RP(gun)ϵǽ}ͻƿ.

12ڴň(chng)е\(dng)(wn)}

}͸ڴň(chng)е\(dng)(wn)}ښv߿ԇ}п^}ʽ^(jin)εx}ҲоC^Ӌ}y^Ҋ(jin)}ʽN

(1)ͻ傐ƝŽA\(dng)\(dng)W(xu)(돽ٶr(sh)gڵ)Ŀ;(2)ͻӴ⼰cW(xu)(wn)}CϷĿԌ˼S;CĿ;(3)ͻ֪Rڌ(sh)HеđõĿԌ˼SՓ“(lin)ϵ(sh)HĿ.

˼Sģ壺̎(li)\(dng)(wn)}r(sh)(zh)ذաһ҈AҰ돽(R=mv/Bq)(T=2m/Bq)r(sh)gķ.

(1)AĵĴ_傐ƝfָAfv(hu)\(dng)܉Ec(din)(һň(chng)ăc(din))fķ؃ɂ(g)傐ƝfL(chng)(xin)Ľc(din)A.AλñضڈAһҵд(xin).

D

(2)돽Ĵ_Ӌ㣺ƽ׺P(gun)ϵԓAİ돽(\(dng)AĈAĽ)עһ(g)ҪĎ׺c(din)ٶȵƫ()ڈAĽ()ABcо(xin)ĊA(нǦ)2(Dʾ)?==2.

(3)\(dng)r(sh)gĴ_t=T/2лt=s/v,Ц՞ƫTs܉EĻL(chng)v龀(xin)ٶ


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