I. HIGHTOP pp.03~ m m/s m/s 5m/s 0. 9m/s 7m/s..5m/s 3m/s. 3. vıå=-40m/s vıç=0m/s m m/

Transcription

1 A n s w e r s & S o l u t i o n s I II

2 I. HIGHTOP pp.03~ m m/s m/s 5m/s 0. 9m/s 7m/s..5m/s 3m/s. 3. vıå=-40m/s vıç=0m/s m m/s 9. 4m/s.5.5m 00m 0. 7m/s 6.45m/s 40m -.6m/s vº m/s 6m _0 m 7.6_0 m = = 3_0 m/s?.53s (4_60) = = m ABTª CBD AT : CD=AB : BC AB_CD 50m_45m AT= = =75m BC 30m m/s m/s -5m/s 00m m =5m/s 0s 040m 40m =m/s 0s 00

3 40m 0 40m =m/s 0s 40m 0 40m =m/s 0s 08 0 B B vı A vå AB v 09 7m/s 5m/s 0 70m 40m+30m=70m =7m/s 0s A C AC " =50(m) 0 =5m/s A C 0 9m/s 7m/s 0~5 40m+5m=45m 40m+(-5m)=35m 440m 5m 0~5 35m 5s =7m/s.5m/s 3m/s 69m =.5m/s 6 P =3(m/s) 6 3m/s 9m 6s 45m 5s 50m 0s =9m/s A B vå vı B A vıå=vå-vı vå=vıå+vı B A B 0m/s AvÅ 0~0 0~30 A m s ( ) (s) = - 0 As=vºt+;!;at =_0+;!;_0.5_0 =340 m B s=0_0=400 m 0 B A 0~30A 0m B =0m/s_0s=00m 0m I. 003

4 Dv m/s-m/s a= = =0.5m/s t 0s 5 v=vº+at=m/s+0.5m/s _5s=9.5m/s 3 vıå=-40m/s vıç=0m/s B A A B vıå=vå-vı=-0m/s-0m/s=-40m/s BC vıç=vç-vı=30m/s-0m/s=0m/s 4 A.5m/s B m/s A.5m/s_s=30m B m/s_s=4m A B 30m-4m=6m 0 A B 6m 6m+6m=m A 4 6m-6m=0m 0m 4s =.5m/s 6m B 36m =m/s A 3s B 0.5m/s 6 A B B A m/s-.5m/s=-0.5m/s A B A 0.5m/s y A m 6m-6m vå= =.5m/s y B 4s 6 6m vı= =m/s A B 6 3s m/s (s) A B 6-6 y -6 A = 4(y -6)=0 y = y B = y =4 3 y -y =36-4=(m) ( ) 5 0~ A B A.5m/s B m/s 0~ A 3m-m 3m-5m ~6 B =0.5m/s A = 6s-s 6s-s -0.5m/s A B 004

5 6 6 0m v-vº 5m/s-5m/s a a= = =5m/s t s s=vºt+ at =5_+ _5_ =0(m) = (5+5)_ =0(m) m 5 s ( ) 5 0 = (s) 7 5 v -vº =as 5-5 =_a_300 a= (m/s ) 3 v=vº+at a= m/s 5=5+ _t t=5(s) m/s v -vº =as 5-0=_a_0.05 a=50(m/s ) 9 4m/s.5.5m 00m vº=0m/s 0 v=-30m/s v=vº+at -30m/s=0m/s+a_0s a=-4m/s 4m/s t0 vº=0m/s v=0 v=vº+at 0=0m/s+(-4m/s )_t t=.5s v=0 vº=0m/s a=-4m/s v -vº =as 0-(0m/s) =_(-4m/s )_s s=.5m 0.5 s=vºt+ at =0_.5+ _(-4)_.5 =.5(m) 0s=vºt+ at =0_0+ _(-4)_0 =-00(m) 0 00m 0 0m/s 0 0 m (s) -30m/s s 0 t = = =-4(m/s ) t t=0 t=.5 s ( ) v=vº+at s=vºt+ at as=v -vº I. 005

6 0 _0_.5=.5(m) 0 0~.5.5m.5~0 _(-30)_7.5=-.5(m).5m 00m 0 7m/s 6.45m/s 40m -.6m/s ~ =(m/s ) 4 5+_(4-) =7(m/s) 0~0 _5_+ _(5+8)_3+8_5=64.5(m) 64.5m =6.45m/s 0s 5~0 8m/s s=vt=8m/s_5s=40m 0~58m/s 0 Dv 0-8m/s a= = =-.6m/s t 5s = t=0 v=0 s=vºt+ at 00=0vº+ _a_0 yy v=vº+at 0=vº+a_0 yy vº 00=0vº vº=40(m/s) m s vº =00m =00 m _0_vº=5vº=00 vº=40(m/s) 0 0 (s) ( ) km/h km/min 0km/h=km/min vt= at km/min_min= _a_(min) a=4km/min 0km 0km/h= =km/min 60min 3 3vº A 4vº - B vº v t s A B 006

7 vº+v vºt= t v=3vº A B t s A 4vº v vº A B a B a a = -4vº t a = v-vº t O t a -4vº = a v-vº a s=0-(4vº) yy a s=v -vº yy a -(4vº) -(4vº) -4vº = = 4vº=v+vº v=3vº a v -vº v -vº v-vº 4 l vº v as=v -vº al=v -vº a= v -vº l 5 P Q 0m/s-3m/s 7 = = m/s 4s-s 0-0 Q { =5} m/s 6m 4 m/s _s=4m/s 4 4m/s 0~ ~4 4~6 s=vºt+ at s=vt 0~ s =0+ =4(m) ~4 s =4_=8(m) 4~6 s =4_+ _(-)_ =4(m) s=s +s +s =4+8+4=6(m) v=vº+at v=0+m/s _s= 4m/s m 4 s 4_ 4_ s= +4_+ =6(m) (s) 7 ( ) I. 007

8 Dv 0-3m/s a= = =-m/s Dt 3s-0 0~ m/s ~ m/s ~4 _ 3+ _+_+ + =4(m) 4m v = =m/s 4s 0~4 _(3+)_+_+ + _(-)_ =3 m v = 3m 4s =0.75m/s 8 0~5 3 0.m/s 5~7 m/s =3.5(m) pp.036~ A B 0A B 00m 03 AB : 3: 4m 6m A B 4m+ 40m 4 6m=40m v= = m/s 30s 3 008

9 6m 4 3 s 6m t= = =s v ;3$;m/s m/s AB 40m s A B s v = 0 s v = t 4m 30 (s-4)m s v t= _t=4 yy 0 s v t= _t=s-4 yy 30 s=40m 0m-5m 04 0~0 v = =.5m/s 0s 0m-30m 0~8 v = =-.5m/s 8s 0m m 0m/s as=v -vº _a_00m=(0m/s) a=0.5m/s vº=0m/s v=0m/s a=0.5m/s v-vº 0m/s-0m/s v=vº+at t= = =0s a 0.5m/s vº=0m/s v=0m/s a=0.5m/s as=v -vº _0.5m/s _s=(0m/s) - (0m/s) s=300m v=vº+at s=vºt+ at as=v -vº 06 0~0 A A 0~0 B B 0~0 = A 0~0 = A 0 AB 0m/s 0 AB 0m/s 07 s 0 ; 0; ; 0; ; 0; ; 0; ; 0; ; 0; ; 0; cm m/s m/s I. 009

10 08 0~0 + 30m/s 0 30m/s 0~ ~0 30m/s 40~70 30m/s ~70-30m/s 09 4A + _4_4=8(m) B 4=4(m) m 4 6m-m=4m A 0~4 8m 4~6 4m 0~6 4m B ~4 4m 4~6 8m B m 6 A B ~4 A B våı=vı-vå=0-4m/s=-4m/s s 400m 0 B t= = v 0m/s =40s A s=vºt+ at 400=5_40+ _a_40 a=-0.5m/s v=vº+at=5m/s-0.5m/s _40s=5m/s A B 0 så sı så=vºt+ at =5_0- _0.5_0 =50(m) sı=vt=0m/s_0s=00m 0 A B 00

11 pp.067~ m/s 08. m/s A : 5kg B : 7.5kg. 4N kg. 5m/s A:6N B :6N N...8_0 N F N 0.4 7N N/m 0.8m/s N N s N s 0m/s x FÆ=5+-5= y FÚ=4+-4= 0 0 =" + ='(N) a c b d e F F 06 A B må mı må=, mı= a b I. 0

12 F F ab F = = = må+mı a+b ;;af;+;;bf; 07 0m/s 00N 0kg_0m/s =00N 00N-00N=00N 00N= 0kg_a a=0m/s 08 m/s F F F=" (3N) +(4N) =5N F=ma 5N=5kg_a a=m/s 09 F=ma N=30kg_a a= m/s 5 s=vºt+ at s=0+ 4 =3.(m) 5 0 A : 5kg, B : 7.5kg F=ma 00N=mÅ_0m/s må=5kg 00N=(5+mı)kg_8m/s mı=7.5kg 4N kg F=ma F=kg_4m/s =4N m 4N=(m+)kg_m/s m=kg 5m/s 0N(=kg_0m/s ) = - 50N 50N-0N=30N a 30N=kg_a a=5m/s 3 6N a 6N=(kg+kg) _a a=m/s A B B B =kg_m/s =N 4 5 A B A B 0 A B 6 A:6N, B:6N A F Å B FıÅ 0 B =6N A FÅı a= F m A B A B B B B 0

13 0 A B FÅıFıÅ FÅı=FıÅ=6N A B 6N A B 6N 7 0 W N 8 A B A B 0N a 0N=(kg+3kg)_a a=m/s A A kg_m/s =4N B 3kg_m/s =6N A B A f B -f a A B A f=kg_a B 0N-f=3kg_a a=m/s f=4n 9 5N 5N 450N+5N=475N 0 50N 0=G F'=G Mm r Mm 5r =5_0=50(N) r m M r F=G mm r Mm GM 4 F=G =mg g= pr 8 r r 3 G(M) GM g'= = = g (r) r.8_0 N qq' _ FÅı=k =k =k r qq' _(-) FÅÇ=k =k =-k r F FÅı FÅÇ F F F=k=_9_0 =.8_0 (N) FAB C A F FAC k k B C C - C F=k q q r F 3 3 qq' _(-6) k A Br F=k F=k =- r r r I. 03

14 A B-C (-)_(-) 4k F F'=k = = r r 3 4 6N 0.4 7N N 6N 8N f=ln 8N=l_0N l= N 7N f=l'n 7N=l'_0N l'= = 6 00N/m 0.8m/s f 0N 0cm 0N f=kx k= = =00N/m x 0.m cm 4N F=ma 4N=5kg_a a=0.8m/s 7 840N F FDt=Dmv=mv-mvº mv 0.046kg_40m/s F= = =840N Dt 0 s 8 F=ma 0N=kg_a a=0m/s s= at = _0m/s _(s) =0m Ft=0N_s=0N s v=at=0m/s _s=0m/s ==0N s=0kg m/s 9 8N s 4m/s a= = m/s 6s F=ma=kg_ m/s = N Ft= N_6s=8N s

15 Ft=Dmv=mv-mvº=(+)=8(N s) kg m/s Ft=mv-mvº 40kg m/s F= =8N 5s 5 40kg m/s=40n s Ft=mv-mvº 3 00N s 0m/s 4 00N s 00N s =5kg_v-0 v=0m/s A B A B B A B A A B A B kg_0.m/s=kg_v v=0.m/s A=-B A =-B kg_0.m/s=-kg_v v=-0.m/s I. 05

16 pp.073~ A 0.kg_0.04m/s =0.008N b F A B (0.kg+0.3kg)_0.04m/s =0.0N a A 0.008N 0 0~5 N + 5~ ~5 4N 0~ A B F=ma F m a A B A B 04 m mg A B mg B A B (m+m)g 05 0 a b a a 06 A B A B A + B B 07 BC 0 CD

17 BC 08 A B f f A f-mg=ma B 3mg-f=3ma a=0.5g f=.5mg A B.5mg B 3m_0.5g=.5mg m F a F=ma 09 A B 0 B 40N B 0 B B 40N B 40N A 40N A B a 40N a= =8m/s B 4kg_8m/s =3N B kg+4kg 40N-3N=8N A B 4m A B v - vº =as v =_8m/s _4m v=8m/s 0 -F -F -F -3F 3F 0 0 A F B F+F=F m=kg a=m/s v =at=_=(m/s) 0~3 3 v =_3=6(m/s)=v 5 v =6m/s a=-4m/s 6 v =vº+at=6-4_=(m/s) v =v 6 0~ s =vºt+ at = =4(m) 5~6 s =vºt+ at =6_+ _(-4)_ =4(m) 0~ 5~6 F=ma F a a 5~6 p=mv p'=0.8p=mv' 0.8mv=mv' v'=0.8v =Ft=Dp=-0.8p-p=-.8p I. 07

18 3 m v 0 mv mv mv 4 M V -v = =-Mv-MV=-M(v+V) = =0-MV=-MV Mv - MV = M (v -V )0- MV 5 A B A B A B A B A B m A (v) =_ mv A B 6 m v +m v =(m +m )v _5+_=(+)v v=4(m/s) A=A =kg_4m/s-kg_5m/s=-kg m/s=-n s N s A B B =B =kg_4m/s-kg_m/s=kg m/s=n s N s 08

19 3 pp.05~ J J J J -50J J.. 30J -8J 3. 30N W kW N m/s J. J 3. 4N _0 J._0 J J 3:7 9. A : 3.5J B : 39.J cm 3. " v +gh J '5m/s 38. 5:4 39. 'v 40. 3J 4. m 4m J R m 0.7m : 48. 3h d 4l W=Fs=mgh=50kg_9.8m/s _m=980j 03 F F=-x N - = = =0.5(J) 4 = 0 x(m) 04 v -vº =as v -vº m m =mas=fs 0 -(m/s) fs=5kg_ =-0J fs=- mv =- _5kg_(m/s) =-0J 05 00J J F 4N a= = =m/s 5 s= at m kg = _m/s _(5s) =5m 5 W=Fs=4N_ 5m=00J 0 5m W=Fs=lmgs=0._50kg_0m/s _5m=500J ( ) 0 W=Fscosh F=0 s=0 h=90 W 0 50kg 50kg_9.8m/s =490N I. 09

20 07 000J 30N a F=ma 30N=(40kg+0kg)a a=0.5m/s A F'=40kg_0.5m/s =0N A=F's=0N_50m=000J 08 W=Fscosh F F s F s h W=Fscosh F 09 50J -50J F=00N_cos60 =50N 5m W=Fs=50N_5m=50J f=-50n W=fs=-50N_5m=-50J - h W=Fscosh 0 000J F F WÏ=Fs s= at = t m F F WÏ=Fs= t W t m m 4 5 4F =00 W Ï=0J_00=000J = 4 _5 _5_40+0_5=00(J) 30J -8J W=_{ _(0+0)_}=30J f=ln=0._kg_0m/s =4N W=-fs=-4N_m=-8J N W 6kg a b a b mg b c F= mg= _6kg_0m/s =30N a b c F F F 0. m/s 6kg W=mg 00

21 P=Fv=mgv=6kg_0m/s _0.m/s=J/s=W W m_9.8m/s _5m 4 m P= 700W_0.7= t s m=0kg 5 W -W 0 70% 70% 6 66kW 0 T=mg+f=800kg_0m/s +4000N=000N P=Fv=000N_3m/s=66000W=66kW v T f 7 300N m/s mg F=lmg=0.3_00kg_0m/s =300N P=Fv 600W=300N_v v=m/s 8 0 0km/h = = _m_(0-0 )=00m 0km/h 60km/h = = _m_(60-0 )=600m 0km/h 60km/h 0km/h 8 m/s 9 0 Fs= mv - mvº =0- mvº s vº 0m/s (0m/s) : 3m=(0m/s) : s s=m 0 v=vº-gt E = mv = m(vº-gt) = m(gt-vº) = m(9.8t-9.6) t= m s 4 0 (s) =-9.8m/s ( ) I. 0

22 30J 0~4m = =4m = _0_+0_(4-)=30(J) J W=DE =(4N_m)-(N_m)=J W=Fs= mv - mvº 3 4N DE =0- mv = 0- _kg_(4m/s) =-8J DE =Fs F_m=-8J F=-4N 4N 4 F F=mÅaÅ=mıaı aå=aı må=mı A BA B A B A B EÅ :Eı= _ : _ =: A B AB A B 5 W=_{ _(0+0)_} =30(J) W=DE W'=-lmgs=-(0._kg_0m/s _m)=-4j E =30J-4J=6J 6.6_0 J._0 J as=v -vº m v =vº +as=4 +( )=64, v=8(m/s) E = mv = _500kg_(8m/s) =.6_0 J F=mg =W =mgs=500_0_=6_0 (J) T=mg-ma =W =-Ts=-500_(0-)_ =-4.8_0 (J) W=W +W =(6-4.8)_0 =._0 (J) W=Fs=mas=500 =._0 (J) 0

23 7 W 6000J h= = =30m mg 0kg_0m/s 8 0.8J 3 :7 F 0N k= = =40N/m 0.m x 0.5m F=kx=40N/m_0.m=8N _8N_0.m=0.8J 0.m 0.m 0 6 _(4N+8 N)_(0.m-0.m)=0.6J N 8 0.3m 0.4m (m) _(N+6N)_(0.4m-0.3m)=.4J 0.6.4=3 7 Eπ= kx = _40N/m_(0.m) =0.8J = 0.m 0.m W = _40_( )=0.6(J) 0.3m 0.4m W = _40_( )=.4(J) W W =0.6.4=3 7 ( ) E =mgh 9 A : 3.5J B : 39.J A Eπ=mgh=kg_9.8m/s _.m=3.5j B Eπ=kg_9.8m/s _(0.8+.)m=39.J 30 F= kx =0J x 3 W= k(x) - kx = kx =30J 3.5cm mg kx=mg x= x x m k x 0.kg : 5cm=(0.kg+0.3kg) : x x = 5cm_(0.kg+0.3kg) 0.kg =.5cm I. 03

24 3 " v +gh B V mv =mgh+ mv V=" v +gh 33 h h mv =mg v =' gh mv =mgh v =' gh v v = ' v =gh h v =æ g_ h=' gh h v =' g_h=' gh v v = ' = = 4 400_ 4 5 =30(m) 35 mgh= kx _0_(+x)= kx x kg m 0+0x= _0_x, x -x-=0 (x-)(x+)=0 x=(m) 36 mvº =mgh+ mv =3{ mv }+ mv =mv vº =4v (40m/s) =4v v=0m/s 37 40J '5m/s av m = Mgh-mgh= (m+m)v =E E =(M-m)gh=(5-3)kg_0m/s _m=40j (M-m)gh= (m+m)v (5-3)kg_0m/s _4m= v=' 0m/s='5m/s _(5+3)kg_v 04

25 38 5:4 A H C hab BC mvı =mgh mvç =mgh-mgh vı=' gh=" _0m/s _5m=0m/s vç=' g(h-h)=" _0m/s _3.m=8m/s vı :vç=0:8=5:4 mv =mgh v=' gh vı gh H =æ =æ =æ =æ = vç g(h-h) H-h "v L = L kl = Mv v = k M 40 3J (L) L M L V = k= k=v M M 'v A =B + =O B =A -B E = _00_0. - _00_0. =4-=3(J) 4 m 4m mv =lmgs+ kx 5 =0.5 0_+ _0_x x=(m) kx =lmgs kx 0N/m_(m) s= = =4m lmg _0.5_kg_0m/s J 00m mgh= mv +E E=mgh- mv =60_0_00- _60_5 =5950(J) 43 R d AB =B =BC mgr= mv =lmgd l= R d I. 05

26 44 0.4m 0.7m k(a -x )=lmgs _00_(0.5 -x )=0._5_0_0.9 x=0.4(m) lmgs=0._5kg_0m/s _0.9m=9J 0.4m kx = _00N/m_(0.4m) =6J AB 7J lmgs=7j s= =0.7m 7J 0._5kg_0m/s 45 mgs+ (M+m)v =lmgs _0_s+ _(5+)_ =0.4_5_0_s 0s+3=0s s=0.3(m) 46 mv =mgdh+lmgd _6 =0_(-)+0.5_0_d 8=0+5d d=.6(m) 47 : BC s A BC D mgh=lmgs+mgh yy D BC B mgh=lmgs yy mgh=mgh H=h H:h=: A A = + BC 48 3h 4l hm mgh= k(l) =kl yy mgh=lmgs+ kl = kl yy mgh 3 lmgs=mgh- mgh= mgh s= 3h 4 4 4l 06

27 pp.3~ m/s _kg_ m/s =J J 0.5m kg_0m/s _0.5m=0J J+0J=J 0 0 = = _ W P= =Fv t 03 0 m/s F 8N F F 8N m/s -4N F =N F +N=-4N F =-6N 4 m F W=-6N_m=-J 04 F=mgsinh h mg B A B A v 9 90cm I. 07

28 06 m/s F=ma=kg_m/s =4N 3 E : E =v :v =6 : =9: m/s 07 A A B 0N 0N A B 0N a= =5m/s A 5N A kg 5N B A B 08 0~4 0~4 0.m/s 0kg_0.m/s =N 0N 0N+N=N 4~0 0 0N 0N_4.8m=48J 4~0-0N _4.8m=-48J 48J 0~5-0.6m/s 0kg_ (-0.6m/s )=-.6N.6N 8.4N 09 B 3 C B B B ;!; =4 J C 4J 4J=;!; 3 +_0_h C -0.5m=-5cm B C 5cm D B D m/s m/s 3 6 C 9J E 0 E C 9J 0 0 0J 0J m mgh=0 m_0m/s _m=0j m=kg m 0J mv =0 _kg_v =0J v=' 0m/s 08

29 b bc A b V bc = kx bc = ka - kx bc = = ka c =0+ ka = ka b = mv +0= mv = ka P A vº Q A v B h A h' mgh=3mgh'+;!;_3m(v -vº )+;!;_m(v -vº ) B B 0 mgh=0_ ;!;_m(v -vº ) h'=;!;h A B ;!; 3 av F=ma F m A B A B DEπ=mgh-mgh=mgh DE =DEπ gh (3m)v =mgh v=æ 3 E =DEπ =mg(h)-mg(h)=mgh 4 N 0.5m J A B J=;!;_kg_v B m/s A B A B B A I-. pp.0~ mgcosh N cm 06. 4N 8J vº 07. vºt vº g 08..5mg 3m 09. 6_0 kg 0.. ;%;R ;3%;R I. 09

30 0 00 m 50 ( ) (s) (s) (m) ~5 5~0 0~5 5~0-0 t t 90km/h(5m/s) t 54km/h(5m/s) a = + 60=5t+ at yy 5=5t+ at yy 5=at yy 5=at yy 5 4= +0t yy a 45 0= +6t yy a t?0.57s a?6.8m/s a m 5 s =a s +s =5 yy 5 s s t t+t t+t s + s =60 yy (s) 3 9 s =8.5 s =6.5 s =8.5=5t t?0.57 s =6.5= _5_t t =. 5 a=?6.8(m/s ). ( ) 030

31 03 mgcosh mg F mgsinh T mgcosh F=mgsinh T= mgcosh h mgsin h T F m h mgcos h mg 04 50N N=mg-00cos30 '3 =00_0-00_ =93.5(N) f=00sin30 =50(N) F=lN=0._93.5=8.7(N) F>f 50N '3N kg 00 N 50 N cm 400g.5cm 3cm 4.5cm 0 0 cm+ cm+4.5cm=9.5cm k k 06 4N 8J m/s+3m/s PQ =m/s m m/s m/s kg_m/s =4N ;!;_kg_(3m/s) -;!;_kg_(m/s) =8J 07 vºt vº vº g T A vºt-;!;gt B ;!;gt A B PQ PQ vºt- ;!;gt +;!;gt =vºt 3vº B 3vº gt=3vº T= A g 3vº vº-gt=vº-g =-vº vº g A t A 0 vº vº-gt=0 t= t A B g vºt-;!;gt +;!;gt =vºt= vº g I. 03

32 A B PQ A B vº 3vº vº vº vºt- =vº - = g g g g 08.5mg 3m B C a a f 3mg-f=3maf-mg=ma a=0.5gf=.5mg a B C f=3mg B C A 3mg A 3mg A 3m 09 6_0 kg s =0.06s 000 m m(kg)_0.(m/s)=0.m(kg m/s) 0.m(kg m/s)=0.m(n s) 0.m(N s)=0.0(n)_0.06(s)m=0.006kg=6_0 kg 0.06s=6_0 s Ft=Mv-Mºv=mv M Mº m v Ft 0.0_(6_0 ) m= = =6_0 kg v 0. 0 v v mv =lmgs l= = gs 0s v v s= = l lg 0l l m s F W W=Fscos80 =-lmgs (m/s) (m) l km/h 30.6m/s l=0.8 v 30.6 s= =?58.5(m) 30m 0l 0_0.8 59m+30m?89m - f l m v s g=0m/s E = mv 03

33 fs=lmgs v v v mv =lmgs l= = s= gs 0s lg v = 0l v l= v s 0s l v v l=0.8 s= = (m) 0l 6 0_000m 0km/h=?30.6m/s 0km/h(?30.6m/s) 3600s 30.6 s=?58.5(m) 6 30m 59m+30m?89m 00m ;%;R ;3%;R 0 F =mg+n mv min N=0 =mg R mghº=mgr+;!; mv min=mgr+;!; mgr=;%; mgr hº=;%;r 0 v mv =mgsinh R mgr=;!;mv +mg(r+rsinh) sinh=;3@; h=r+rsinh=r+;3@;r=;3%;r I. 033

34 . pp.37~ S =S t =t b d T a 05 T r rå :rı =TÅ :Tı =7 :64 =(3 ) :(4 ) =(3 ) :(4 ) rå :rı=9:6 06 T r 4 T = A B A B A B A B A B 0 A B 3 T r 09 a b 3 ; 0; 3_0=30 a c ;!; a c 034

35 30 _;!;=5 b c 5 -a b =5-3 = 0 m M r F=G Mm r B A A B F Mm A B F=G =ma r A B A B A B A B B A Mm Mm F=G?G (R+h) R v 3 a= B ;!; A B r mv F= B ;!; A B r pr T= B A v pr r 4 T= =pæ B A ' v GM Mm F=G A B 4 r Mm G = r GM v=æ A B ' r m pr 5 F= { } p T r F m{ } r T r F Mm r mv r mv F= =ma r Mm mv F=G = r r v=æ GM r pr r 4p T= =præ T = r v GM GM 4p GM 3 T r I. 035

36 pp.40~ a c r x=r x=r a b b c a b b c 0 A B A B A B 03 Mm mv GM G = r m v=æ r r r r T r 04 ;!; ;#;d a b b a 4 Q P ' T r Q P P ;#;d_;!;=;4#;d P d+x d d x ;4#;d= x= P m pr 05 E=;!;mv = { } r = P Q T r r = Mm F=G P r r Q 4 T r T r ;#; PQ = ' 06 r A B A B Mm mv G = r r Mm = G r mv = r 036

37 Mm ;!;mv =G B 0 x r Mm Mm Mm ;!;mv -G =-G G r x r Mm Mm Mm Mm -G =-G -G =-G B r x r x 0 x=r A B A B pp.57~ tº 09. æ -{;cv;} g A B I. 037

38 07 A B C A C A B B C B C 08 tº æ -{;cv;} tº v t= tº æ -{;cv;} v tº t tº t= æ -{;cv;} 09 Lº Lº Lº 0 x v L=Lºæ - { } =50_" -0.8 =50_0.6=30(m) c x y Lº v L L=Lºæ -{ v } c 0.8c =4_" -0.8 =4_0.6= c = 0.8 = c 4 = =5 0.8 O P Q a=b Q P O P Q P Q Q P 3 L=Lºæ -{ v c } 900_" -0.6 =900_0.8=70 km 038

39 900km 60% Lº 900 T= = =5_0 s 70km v 0.6_3_0fi L 70 60% Tº= = =4_0 s v 0.6_3_0fi g mº mº v m= " - (v/c) mº g g g m= = = =?.67g " - (v/c) 0.8c " æ - { } c mº v m m= mº æ -{;cv;} pp.60~ P Q P Q P Q Q Q P P Q P Q I. 039

40 04 A A B B A B vdt æ { } +L B A B A 05 T T 06 v tº vtº vtº vtº vtº v tº 07 A B L T B L T B A B B L A B T B A A B T c P Q L L T= 0.8c L L 0.8c P Q L P Q L 0.8c 040

41 L P Q T= 0.8c mºc 0 E=mc = æ -{;cv;} M mc mc mc Mc = + = =.5mc " -0.6 " -0.6 " m 3 pp.75~ a m F=-ma I. 04

42 Quasar Quasi-stellar radio source 0 43"

43 pp.78~ O P O O O 0 g 03 A B B A B B A A 6 5 B 6 50 B A B X X 06 I. 043

44 4 pp.98~ = 37 Hº K : 7: 3: 3 044

45 4 5 u + e d - e 3 3 udd {+ e}+{- e}_=0 3 3 uud {+ e}_+{- e}=+e e 6 4 b pp.0~ B 80 C 80 A B A B K I. 045

46 =0 + e - e 3 3 {+ ;3@; e} {-;3!;e} {+;3@;e} {-;3!;e} 09 A - W 0 0 b A B 046

47 A I-. pp.07~0 g rº 0. rå= -;3$; rı rı={ } ;3!; R 0. -E - Eº Rx r vt 03. { } L/c æ +L t>dt 04. vdt æ -{;cv;} Dt æ -{;cv;} vdt L vt= 05. Læ -{;cv;} tæ -{;cv;} v æ -{;cv;} 06. Læ -{;cv;} " + v/ c tº " - v/ c 0 rå= -;3$; g rı rı={ } ;3!; R Rx rå /4 A B T r ={ } ;3@; 4 rı rå= -;3$; rı M Mm GM B m G =mrıx rı = rı x 3 GM gr g g g= rı = = R rı={ } ;3!; R R x Rx Rx rº 0 -E - Eº r M Mm mv GM Mm G = v = mv =G =E rº rº rº rº -G Mm rº =-E Mm E= mv -G =E -E =-E rº rº r vº rºvº=rv v= Mm Mm mv º -G = mv -G rº r Mm rº Eº-G ={ } Mm r º Eº-G {- }Eº=GMm { - } rº r r r rº r rº r vº I. 047

48 (r-rº)(r+rº) r-rº Mm r+rº Eº=GMm G = Eº r rrº rº r GMm r+rº rº mv º - =Eº- Eº=- Eº rº r r GMm rº Eº- =- Eº rº r GMm GMm GMm Eº= r>rº Eº= > rº(+rº/r) rº(+rº/r) rº vt 03 Æ{ } L/c +L t>dt Æ - {;c V ;} B t { ct vt { }=Æ{ } + L vt } B ct vt { }=Æ{ } L L/c + L t = t= {;C;} -{;V;} Æ - {;c V;} A Dt= L c t= Dt t= Dt >Dt Æ - {;c V;} Æ - {;c V;} B 04 vdt Dt vt= vdt Æ - {;c V ;} Æ - {;c V ;} L=vDt t t= Dt Æ - {;c V;} Lº=vt= vdt Æ - {;c V;} L 05 LÆ - {;c V ;} tæ - {;c V ;} v v L 048

49 L t= v L'=LÆ - {;c V;} L' L' v tº= = v L v Æ - {;c V;} = tæ - {;c V;} 06 LÆ - {;c V ;} tº " +v/ c " -v/ c P Q L'=LÆ - {;c V;} P Q t tº P Q L t>tº P vt>vtº P Q t Q v LÆ - {;c V;} +vt=ct ct{-;cv;} =LÆ - {;c V;} " +v/ c ct=l P Q " -v/ c L " +v/ c " +v/ c t= =tº c " -v/ c " -v/ c 07 B K 3K I. 049

50 I. pp.3~ d L-d t= L-d c Md= E(L-d) c E(L-d) =m(l-d) E=mc c 050

51 II. HIGHTOP pp.34~ A - B mg F. 3. ' 3. hæ 4. _0 fl C k 6. _0 C 7. 36'_0 fl N -x _0 fi N. 3m qecosu N/C C B N/C P q 6. mg-qesinu A 4m A A + B A C A D A D B E C E C E E D E D E D A - B + B A B A - + A A - B + II. 05

52 07 B + A A B + 08 A A B B a B b B a b C C c d C F 36 Q F=k C A r B C C Q -Q Q FÅÇ+FıÇ=k +k =-k =- F (3r) (r) 36r r F =k =-k r r +9C + -3C r 9 =+3C F =k =- F r 3 ' q q (-)_ k (-)_ Få =k =k_ =-, Fåç=k_ =-k, r (") _ F ç=k_ =k a b c Fç 'k Fç="(Ω-kΩ) Ω+k ='k = =' Få k mg 3 hæ k B B q mg k =mg q=hæ h k 4 _0 fl C Q 9_0 k =k'x _Q = Q= 0 fl C r _0 C 0 A B + 0 A q q F=k (k=9_0 N m /C ) r c a b c B B 0 B 05

53 B, A B x (6_0 )_(._0 ) (.5_0 )_(._0 ) k =k x (0.5-x) 3x -4x+=(3x-)(x-)=0 x= m 3 A B 0<x<0.5 A B m 3 6 _0 C F x y '3 4_0 _(-'3_0 ) F x =Fcos30 =F_ =9_0 _ 0.3 '3 F=-4'3_0 fi F=-8_0 fi (N) F y =Fsin30 = -8_0 fi _ =-4_0 fi (N) A C F y 4_0 _Q 4 0 fi =9_0 _ Q=_0 (C) '_0 fl N -x P r rcos45 = r= (m) ' P +Q P -Q P 4 FΠ=FΠP Q FΠ=FΠP Q 4 PQ _0 0 F=9 0 _ =9_0 _ =8 0 fl (N) r { } ' 4 y 0 P x 8 0 fl cos45 4=36' 0 fl (N) -x A E +4C E -C E q q 9_0 _4 9_0 _(-) E=k +k = + =0 r r 0 3._0 fi N + F=eE=.6_0 C _ _0 N/C =3._0 fi N +C II. 053

54 3m 0 3 C A B 0 EÅ=Eı 4 6 k =k = x=3(m) x (9-x) x 9-x 0 C +C F=9_0 _ 9_0 _ =9_0 _ 0 0 qecosu mg-qesinu F W T Tsinh=qEcosu Tcosh=mg-qEsinu tanh= 4_ x qecosu mg-qesinu 6_ (9-x) q q r F T mg 4 0N/C C B A B A C B C C E kq 9_0 _0_0 E= = =0(N/C) r 3 EÅ C B Eı C B C E=EÅ+Eı=0N/C 5 7._0 N/C P q P r= (m) ' P P +C (+) q q E =k P q E =k P q r r q q E =k P q E =k P q r r q 9_0 0 E=k = =3.6_0 (N/C) E = E = E = r { } ' + + E = E E E E E P q P E =7. 0 N/C P q Ma 6 F=Ma=eE E= 4M e Ma e a F'=4Ma'=e a'= a e 054

55 mg 7 mg=qe E= q 8 A 4m +4C A 0 x k_4 k_(-9) +4C E = -9C E = x (+x) 4 9 E=E +E =0 E = E - =0 x>0 x (+x) x=4m A + 3 A - B + 3 A + B A + B - QÅ Qı=8 6=3 pp.39~ A B 0 A B A B B A C B A B A B 03 II. 055

56 A +q B -Q C +Q +q q B -Q C +Q q AB x BC R A +q qq qq xr+r k -k =kqq{ } x x (x+r) x (x+r) q Q B B B 06 b c E =E, Eç=.5E Q + b c +C +x Q -x k_ kq k(4-q) E =E= - = yy r (r) 4r k_ kq k(-4q) Eç=.5E= - = yy (r) r 4r 4-Q = -4Q=6-.5Q Q=-(C).5-4Q +C b +x a c + + +q F E F kq E= = q r 056

57 07 A B C 0 A B A B x= FÅÇ>FıÇ A C qå qı+ +y qå EÅ -x 09 x A A B B +C +C A B 0 O A B A -x +x A A + B -x +x B + x=0 x=0.5d - -x 0 P +x EÅ Eı A B EÅ Eı +x P +C + A + B - O P +x AP >AO BP >BO O P E <EØ - + A - B + QÅ Qı=6 = B A C 0 C C A + - A C B A C A C B A C B A C q p q p II. 057

58 pp.65~ e f V _0 V p_0 V N S 0 N S N S S S N N N S S N 03 X Y X NY S B= =BS=0 3=30(Wb) S 06 B S =BS(Wb) 07 N N N N N 058

59 08 I 09 B=k B B r r r 0 E A C» 0 B D B D e f I r A B C D B A d B f C d D f d f e A I P A ;!;I I I B B=k =k A B C D r ;!;r r A A h A C B D f A B C + 7 BÅ=k +k =k, Bı=-k +k =-k r 3r 3r r r r BÇ=-k -k =-k BÅ Bı BÇ= = r r 3r II. 059

60 I I B=k B r B r r B 4 5 N S N N + S N - 060

61 D pr `DB V=-N =-N V r Dt Dt ==BS D 4 { } 4 Dt 0.m 4 V_4=4V 3 5V cm = 0 m =0 m 00cm =0 m D D(BS) (0.5_0-0) V=-N =-N =-00_ =-5(V) Dt Dt 0. V N Dt D V=-N D Dt 4 x y T 0.5T D D(BS) SDB V=-N =-N =-N Dt Dt Dt V=- 6.5_0 V =-0.(V) S=pr =3 0. =3 0 (m ) 0cm 0. 0 V=-N V=-_ 0. _(.0-0.5) 0. D Dt =-N BDS Dt 0._(3_0-0) 0. =-.5 0 (V) 7 8 p_0 V D SDB V=-N =-N =-Npr Dt Dt V=-_p_0. _0.=-p_0 (V) 9 30 DB Dt II. 06

62 pp.7~ c 0.6_0 T N 30 a a (= _tan30 =0.45_0-4 T?0.6_0 (T)) 30 b =0.6_0-4 T b N d N 0 N B I r I B=_0 (T) r 03 a - a b + b O 0 + b x 04 Q Q 06

63 Q r I I B = 0 (T) B =p 0 (T) r r Q P Q P Q P 05 B B Q B I P 06 v h D D(BS) = Dt Dt h N S a b V 08 B B I n B=4p_0 ni (T) II. 063

64 09 S S S 0 3 a R b DB 4 3 { } Dt D D(BS) DB V=-N =-N =-NS B Dt Dt Dt DB 4 I Dt

65 II-. pp.78~8 8'3 kqº q q '3qº 03. -k +k 3 d d {a+ } d {a- } kdq a qe 04. C>B - -x 05. A B a= m 8vº A=B 06. -x d x v=4vºæ V Bv t d V 'abv-bv t 'abv DU 08. -N -N N k S DI Dt Dt 0 D A A D -Q -Q D B B D -Q -Q D C D C +Q A B -Q -Q Q B C d C B k d Q C A k C B 4d C A 8 0 '3qº 8'3 kqº 3 d A B C A d '3 C dsin30 = B C dcos30 = d q q F=9.0_0 N r C x 0 -kqº -kqqº _sin30 = _cos30 q='3qº d { } '3 { d} A B C kqº k'3qº 8'3 kqº F= _cos30 + _sin30 =- d 3 d { } '3 { d} q q 03 -k +k kdq a { a+ d } { a- d } II. 065

66 a E=-k q +k q +x { a+ d } { a- d } r +r -n -nr a"d q q d k =k { } - q d =k { } a a a a { a d } E=-k q +k q { a+ d } { a- d } q d q d kdq -k {- }+k {+ }= +x a a a a a 04 C>B - -x p A C 0 A C C A q A B 0 A B A B C A A B C B A C A B B C q B C +x B C+ A- p A C 0 + B -x p A B C -x qe 05 A B a= A=B m E A B F=qE F qe m A B a= = A B m m A B A B A B A B A B a b A B 8vº x 06 -x v=4vºæ - d d A d vº 3vº as=v -vº ad= 3vº -vº 4vº A a= +x d B A A A 8vº B a'= A d A -x v=vº+at s=vºt+;!;at as=v -vº 066

67 8vº B a'= 0 x d d B a'x=v - 4vº v=" 6vº + a'x =æ6 vº - 6 vº x =4vºæ - d x d 07 V Bv t V 'abv-bv t 'abv t t+dt Dt DS=v{t+ } vdt v tdt DU BDS V=- = Bv t Dt Dt t t+dt a Dt DS=[ -v{t+ }]vdt 'avdt-v tdt ' DU BDS V=- = 'abv-bv t Dt Dt 'abv DU DI 08 -N -N N k S Dt Dt DU V =-N Dt DU DU DI V =-N =-N =-N N k S Dt Dt Dt N V = = I N V I II. 067

68 . pp.93~ a hc E 0 atom 0-03 a + a a 04 a a + 05 a + a + 06 a a 068

69 07 h h pr=n mv mv k= h mv E«=- ev n= n -3.6eV -3.4eV 0.eV 0.eV ke ke 5 E«= mv +{- }=- r r mv ke ke 3.6 = mv = =-E«= r r r n ev 3.6eV ke ke 6 E«= mv +{- }=- r r ke _3.6 - =E«=- ev r n -6.8eV pke E«= m{ } ke - nh n h { } 4p mke p mk e 4p mk e E«= - n h n h p mk e ke n h E«=- =- { r= } n h r 4p mke 7-3.6eV eV =0.eV 3 -.5eV eV =.89eV.0eV 8 9 hc E hc hc E=hf= k= k E II. 069

70 n= 4n= 3n=3 n=4 0 pp.96~ a + a a

71 04 n= hc Eº Eº hf= =E -E =- + n=3 n= k n hc Eº Eº 5Eº 36hc =- + = k= k Eº n=3 n= E =hf= hc k 05 nk«=pr«=pn rº k«=pnrº h k= A B 3 p kå kı= 3 på pı= = nk«=pr«=pn rº k«=pnrº n= n= eV 0.eV -3.6eV 08 m= m= m=3 m=3.5ev m=.89ev m=3 m= m= 09 kå n= kı n=3 3R 8R =R{- }= =R{- }= kå kı 3 7 kå 4 kı 3 9 5R kç n=4 =R{- }= kç 4 6 hc 5hcR hf= k = 6 II. 07

72 0 n= n= -3.4eV 3.4eV n= n= a b n= a b 3.6 E«=- ev n pp.35~38 RS q= l n p q= RS l l RS R=q q= S l A B A

73 K p + 3 n p n p 4 4 Si 5 P n A A 5 B B 3 n p n 6 A p p-n p n n p A B B + 7 P II. 073

74 9 LED A B C Iç>I + p-n-p n n p - pp.39~ l 3l l 0 R=q A B RÅ=q Rı=q S l 6l A B 0 A B C A B C=4 l A B C= 4 X Y Z R=q X Y Z= S = 4 A B CY X Z 03 0K 04 x y I V I= V R I = - R V

75 06 4 Si 5 PAs Sb n 07 p-n p + n - 08 V p-n a p + n - 09 p-n E=hf f= Eg h 0 p A + p B n b a n-p-n II. 075

76 3 pp.335~ A - B Tç Tç A -B LCD 076

77 LCD LCD A LCD 3 LCD ~00 LED pp.338~ Tç II. 077

78 0 A B LCD C LCD 0 Vº Iº 06 A B II-. pp.34~344 n h pke { - } 4p mke nh n R nƒ n 3.6 nh 0. (ev).6_0 m n 'ƒm_ 3.å6 656nm 365nm nm 9nm L+d hc 05. R L ev 688nm43nm364nm 0 n h pke { - } 4p mke nh n R nƒ n ` mv ke = r r ke nh mv = prmv=nh v«= r pmr«nh ke n h m{ } = n r«= pmr«r«4p mke mv ke F= = mv = ke r r r 078

79 n h r«= n 4p mke nh pke v«= = n h nh pm{ } 4p mke ke E«=E +Eπ E«= mv +{- } r n pke E«= m{ } ke p mk e 4p mk e - = - nh n h n h n h { } 4p mke p mk e 3.6 E«=-?- ev n h n E Eƒ hc hf= =E -Eƒ=- -{- }=3.6{ - } k n nƒ nƒ n 3.6 = { - } k hc nƒ n hc k= { - } = { - } 3.6 nƒ n R nƒ n nƒ= k= { - } m.097_0 n 4 36/5 365nm 656nm.097_0.097_0 nƒ= nh 0 ev.6_0 m n 'ƒmƒ_3ß.6 mv ke = r r ke mv = r ke ke E«= mv +{- }=- r r ke 3.6 mv = =-E«= ev r n mv 3.6 m_3.6 h mv = = mv=æ k= m n n mv nh k«= 'ƒmƒ_3ß.6 n= h 6.6_0 k = =.6_0 m 'ƒmƒ_3ß.6 'ƒ_ƒ9.ƒ_0ƒ _ƒ3.6ƒ_.ƒ6_ß0ß å 03 mv Fs= mv = mv='ƒmfs m II. 079

80 h h k= = mv 'ƒmfs t h s= at k= 'ƒmfs t nm 365nm nm 9nm k= { - } m.097_0 n n =3 n = 36/5.097_ nm 365 nm.097_0 k= {- } m.097_0 n n = n = 4/3.097_0 nm.097_0 9 nm nm 365nm L+d 05 R 3L P d P d d L-d R+{ }R{ +} L+d = R L L 3L V 3L V 3 V V I= d=0 Iº= d=l IÒ= d L+d R R R hc nm43nm364nm ev 080

81 V ev LED hc hf= =ev k hc k= ev.8v k= 3.0V k= 3.4V k= 6.6_0 _3.0_0.6_0 _.8 6.6_0 _3.0_0.6_0 _ _0 _3.0_0.6_0 _ nm 43nm 364nm II. pp.346~ ;!;mv =;#;kt=;#;_8.6_0 fi _ ev - l R=q q A 300K -3 II. 08

82 A n s w e r s & S o l u t i o n III IV

83 I. HIGHTOP pp.05~ m Hz A A A B B 04 A B A B A B III. 083

84 m/s=50000Hz_k k=6.8mm 7mm mm m 700Hz 340m/s=700Hz_k k=0.m 3 880Hz 440Hz 880Hz 4 l l= k =l 3 k l= 3 k = l 4 k 084

85 5 l 4l v v l v 4l k k cm 0cm 0Hz 440Hz 880Hz 0Hz 880Hz pp.09~ III. 085

86 0 0 A B A ;!; = B A ;!; B 03 k 04 4 = _4 0.5m 0.5m 4 00Hz 0.5m m 5Hz 3 50Hz 75Hz 00Hz m m 50Hz 50Hz 00Hz 50Hz y v=fk 00Hz_0.5m=50m/s 00Hz_m=00m/s k«l= _n 05 m 340Hz 086

87 340Hz 70Hz 70Hz 340Hz 50Hz 680Hz 06 f f = = T 0.5T T 3 T = T 3 3 f f = = 3 T T 3 k v= T 07 v=fk v =fº_l=4fºl v =fº_l=fºl v =4v A B A B A L A L 08 T T pp.047~ III. 087

88 0V Eapple=hf-W 06 0V 0V n p 0 R G B 088

89 R G B R G R G B R G 3 r R B R G B 4 R G B 3 TV pp.050~ III. 089

90 0 P Q 03 Eapple=hf-W 0 hf=w 5.9_0 Hz 4.0_0 Hz B A C A C R A G B A 06 Y Z Y Z X X Y Z X>Z>Y Y>Z>X Y Z X B X X Z 07 3 S S S S S S S

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92 l -l k= l -l v=fk v=f_ l -l =f l -l Hz 5 6 T T.5 6.6Hz 6.6_=53.(Hz) ? A B A B A B B A A B T N q kg/m T v=æ m/s q 06 cm 3000Hz k k =3cm 4 k=cm cm v=fk 875Hz 3000Hz _0 J _0 J Eapple=hf-W 0 hf=w W=6.6_0 _5._0?3.4_0 (J) Eapple=hf-W Eapple=6.6_0 _6.6_ 0-3.4_0?_0 (J) 08 3 R G R G 09

93 . pp.085~ GPS 03 X 04 GHz=_0 Hz 3_0 m/s 3_0 m/s=.8_0 Hz_k k= m 6 05 AM FM AM FM TV FM FM TV B A III. 093

94 08 AM 09 f= p'ålc 0 f LC f LC f LC f= C LC p'ålc f f LC 90 siniç n iç = sin90 n mm 094

95 6 E R 7 pp.088~ A A TV c 3_0 0 Hz c=fk k= = =3_0 m f 0 A 0 LC LC LC LC LC LC 03 A få LC A C fç f= p'lßc C 04 siniç n 90 = sin90 siniç iç n III. 095

96 05 06 f XÇ= pfc XÒ=pfL pp.05~ RFID R Radio RFID 03 RFID IC RFID RFID 096

97 N S S N 3 FRAM HDD 4 5 FRAM CD 0 7 CD 0 pp.08~ CD CD CD III. 097

98 0 RFID C D A B 0 05 RFID RF Radio Frequency RFID RFID 06 CD DVD FRAM III-. pp.~ kHz 300m 0.668m

99 0 0.m.5_0 Hz P +z P Q 0.m 4 3_0 m/s c=fk f= =.5_0 Hz 0.m 0 000kHz 300m 0.668m A A A 000kHz c 3_0 k= =300 m f 000_ =0.668 m 03 4A fº= p'ålc fº RLC V 3X I= =4A 3X fº XÒ=XÇ pfºl= 4p f º LC= fº= pfºc p'ålc RLC Z R XÇ XÒ Z=" R + XÒ - X Ç 04 III. 099

100 III. p.5 -.8eV A=pr =p_ 5.3_0 m?8.8_0 m P.5W I= =?9.7_0 W/m 4pr 4p_(3.5m) E=IA= 9.7_0 W/m _ 8.8_0 m?8.5_0 W.8eV.8eV.6_0 J t= _?3.4_0 s _0 J/s ev - - hf.8ev.8ev?.9_0 J=6.6_0 J s_f f?4.4_0 Hz f hf W E=hf.8eV?.9_0 J =6.6_0 J s_f f?4.4_0 Hz 00

101 IV. HIGHTOP pp.3~ A A N S A 04 N 05 B A p-n IV. 0

102 09 0 mgh=000kg_0m/s _0m=0fi J=00kJ 5% 00kJ_0.5=5kJ = 5kJ s =5kW _% = mgh=pdt 3 P =I r I r Pº I V I= P =I r={ Pº V P=IV I= _0+ =4(A) Pº V } r ;4!; 5 P =I r 6 P=VI I r P 44W = =0.4A V 0V 44W =0.A 0V V V 0 P= R R= P 44 =75 X 0 44 =00 X N V 30 V 5 V 8 = = V =00V = V =00V N V 5.5A_40X 30 00V V I =V I 00V_I =00V_.5A I =.5A V N = = I V N I 0

103 pp.35~ D V=-N Dt 0 03 DU =-N Dt ;!; B A A ;!; B A 04 A A A B A B AB A B A B 05 P=VI I r I r 4 IV. 03

104 Pº Iº 06 = Vº Pº =I r={ } R Vº Iº r R+r Vº ;!; ;4!; Iº Vº= Iº 4 (R+r) 07 B C 08 n V I n V I = = = = V = n V I 3n V I I 3V I = 3 R V I I 9V V=IR3V = R R= 3 I N V = N V N N V V pp.63~ u. 5.4_0 J _0 J _0 0.5kg e He He =- =4-= =6-8=8 A Z X A-Z 04

105 03 04 a a He 4 b b e b ª U a b 4 ª U a 4 b c 05 a a a 4 a (3-4) 4= a 4 b b 90-4+x=88 x= 06 b x=9+=93 x=93 b y=38+=39 y=39 ª U+ ºn e+ ª Np 07 4 ;!; ;!; Nº T t t T T/ N=Nº{;!;} T N=Nº{;!;} T = Nº{;!;} ;!; =Nº ' ' t 4 09 N=Nº{ } T =40g_{ } 4 =40g_ =30g u Dm=(_.036u)-(3.050u+.0087u)=0.0035u E=Dmc =0.0035u_.66_0 kg/u_(3_0 m/s) 5.3_0 J E=Dmc?5.3_0 J=?3.3_0fl ev=3.3mev.6_0 J/eV 5.4_0 J _0 kg=0.06_0 kg E=mc =0.06_0 kg_(3_0 m/s) =5.4_0 J - Dm E E=Dmc c IV. 05

106 r F=G F=k q q r mm r 3.44_0 J E 4.4_0 J Dm= = =.6_0 kg c (3_0 m/s) 4 fl Ra Rn+ He a Pb Bi+ - e+c b He+ N O+ H 6 N+Å X O+ H 4+A=7+ A=4 7+Z=8+ Z= X Be+Å X C+ ºn 9+A=+ A=4 4+Z=6+0 Z= Li+ H Å X 7+=A A=4 3+=Z Z= Al+Å X P+ ºn 7+A=30+ A=4 3+Z=5+0 Z= H+ H Å X+ ºn +=A+ A=3 +=Z+0 Z= X a He be c 7 4+=5+x x=0 53+=53+y y= ºn 8 9 M +M«Mı+Mapple+3M«M +M«- Mı+Mapple+3M«=M -Mı-Mapple-M«E=Dmc E= M -Mı-Mapple-M«c 0.7_0 J (.036u+3.06u)-(4.006u+.0087u)=0.083u E=Dmc =0.083u_.66_0 kg/u_(3_0 m/s) =.7_0 J H H H 06

107 H O 35 ªfi U 3 D O 4 38 ª U 39 ª Pu _0 0.5kg x x_00mev=x_00_0fl ev_.6_0 J/eV 50% 5000MW _5000MJ=_5000_0fl J x_00_0fl _.6_0 =_5000_0fl x=3.5_0 fi U 35u 3.5_0 (3.5_0 / )_(35_.66_0 kg/ )_(4_3600s)?0.5kg 6 7 Sv 8 Bq C/kg Gy Sv pp.67~ IV. 07

108 0 A D 90 B C D +=4 a = 0 Rº R 4Rº R= R=Rº a a 4 b b ªY _3= =3 05 _=A A=4 6 A=_4 A= 3 Z=_ Z= H 06 A H H H 07 ªfi U ~3 08

109 35 =43 =9 08 ªfi U ªfi U ~3 ªfi U D O 35 =A 9 A=4 9=Z 37 Z= =87 3 pp.79~ n p n p 03 0V 0~0% IV. 09

110 06 40~45% 70% 40~45% 07 4m/s m 0m pp.8~ n p p n n p n p n p n p p n n p n p n + p - n p 0

111 0 n p p n n p n a p b p n n p b p + n - LED LED A n B p LED p + n - 03 p + n - p n A B 04 - H H±+e + + ;!;O +H±+e H O A IV-. pp.84~ V 0V 30V 0.A 0.3A 0.6A ;(0;A _0 cm 4E _ A ;9!; 8 IV.

112 h 0 T=æ g T T h= h T=æ g gt 0 0V 0V 30V 0.A 0.3A 0.6A ;(0;A 00 Vå ab 00 ab 00 = 0 Vå =0V bc ac bc 0V ac 30V A C A 30V B 0V C 0V 6W A 6W 6W 6W 30V =0.A B 0V =0.3A C 0V =0.6A A B C 8W 8W 8W 9 0V = 0 A 03.06_0 cm u =_.66_0 kg=.99_0 g.99_0 g = = =?8.775_.7g/cm 0 cm.06_0 cm N V = = I N V I = =0_0.905+_0.007+_0.09= ? E A-4 (mv) E = mv = m E m Å X He+Å Y a Y 4 A-4 4E E : E'= : E'= 4 A-4 A-4 P E =;!;mv = m 06 _0

113 N=Nºe -kt t=0 N=Nº t= N =Nºe -k t= N =Nºe -k Nº-N =Nº(-e -k )=4_0 fl yy N -N =Nºe -k (-e -k )=0.8_4_0 fl yy e -k =0.8 Nº(-0.8)=4_0 fl Nº=_ fi U.0_0 fi +(4.0_0 fi -.0_0 fi )=4.0_0 fi (g) 7 t t fi UN=Nº{ } T t 4.0_0 fi _{ } =.0_0 fi g { } t t 7 ={ } 7 = 7 t=4 ;!; T Nº t N N=Nº{;!;} ;tt; _0 J a mv MV m MV = M{ v} m 4 = { mv }= _8.79_0?.56_0 (J) M M 6 a 88 6 ª ºTh fl Ra+ He a a 0 a mv MV m mv=mv V= v M m MV = M{ v} m 4 = { mv }= _8.79_0?.56_0 J M M 6 E = P m 6_0 0._0 g, g fi U 35 IV. 3

114 0 kw 0 J fi U m 6m_0 _00(MeV)_(.6_0 )(J/MeV) 35 =0 (J) m?._0 (g).5_0 g._0 _4_3600=05.4(g) fi U 0.7% M 0.7 M_ = M?.5_0 (g) ;9!; 8 m v v' V mv=mv'+mv yy mv = mv' + (m)v yy v-v'=v yy v -v' =V yy v -v' V (v-v')(v+v') = =V v+v'=v yy v-v' V v-v' ;!;mv' v' V= v v'=- v ={ } = 3 3 v 9 ;!;mv.0_0fl ev n 0.05eV.0_0fl _{ } « «æ000' 0?634 næ8 4

115 . pp.05~ Fr sin h Fr sin h N rº r 06. : 30cm N 00W.5h 09. s F r rº 0. W 0.76N m 4N m. TÅ=Tı=. L 800N 3. ' N m 6. m s=fr=60n_3m=480n m r r 0 s=f +F =Fr 03 O F F r r " a +b r =r = F F " a +b s =r F sina= F sin a " a +b s =r F sinb= F sinb " a +b s +s = F sina+f sinb 04 Fr sin h Fr sin h N F r 0 600N_0.4m=F_0.8m 0.4 F= _600=300(N) : 30cm a+b 300N_a= 00N_(a+b) a=b a:b=: Q h 300N_0.m 00N_h h 0.3m=30cm 07 Wa=Fb IV. 5

116 N 00W.5h 00N_0.m=F_0.5m F=40N F =00N_m/s=00W F 00N_h=40N_x x=.5h rº r 09 s F r rº n rº s=prn prºn= s r Fr=F'rº F' r F'= F rº Wa=Fb N m 4N m F r 0 '3 s=fr sin 0 =600_0.04_ ='3 =0.76(N m) F r 600_0.04=4(N m) W TÅ=Tı= ' TÅ cos 45 =Tı cos 45 TÅ=Tı TÅ sin 45 +Tı sin 45 =W (TÅ+Tı)=W ' W TÅ=Tı= ' L 800N 6 P O x L 00_x+00_{x- }=300x-50L 500_(L-x)=500L-500x 300x-50L=500L-500x x= L 6 800N 6

117 N N W W N f F +F +y=0 s +s +y=0 N =f W+W =N 0 N _5.6-W_.6-W _=0 W=78_9.8=764.4(N) W =5_9.8=47(N) N =44.65(N) N =f f=44.65(n) 4 a T sin a L=WL T T = W" 4L +h h hl " (L) +h =WL IV. 7

118 b hl T sin b L=WL T =WL " (L) +h W" 4L +h T = =T h c hl T sin c L=WL T =WL " L +h W" L +h W" 4L +4h T = = h h " 4L +4h >" 4L +h T >T T <T <T m 48 6 m 55 x (5kg+4kg+6kg)g_x=(5kg_0)g+(4kg_0.3m)g+(6kg_m)g 7. x= =0.48(m) 5 550N 0 300_.6+50_0=550_x x= = (m) m +m +m gx=m gx +m gx +m gx pp.09~

119 W 0 :4 F= 4 4 F 0 A Mg r Mgr A Mgr B 3Mgr A B Wa=Fb Fy=Wx A B ;3!; 03 7g_50cm+75g_30cm=m_40cm m=90g 04 0.kg_0m/s _m=0.8kg_0m/s _x x=0.5m = + 0.4kg 0.4kg_0m/s _m=8n m v 0.8kg_0m/s _(0.5m+v)-0.8kg_0m/s _0.5m=8vN m 8N m=8vn m v=m/s 05 A 40N_4m+0N_7m=Fı_6m Fı=50N FÅ+Fı=60N FÅ=0N 06 L L M_ +.5M_L=(M+.5M)_x x= =0.8L.5 x x= m x +m x m +m 07 0kg_0m/s _0.4m=F _0.6m 0kg_0m/s _0.4m=F _.4m F =: 3) º;;N F =: 7) º;;N +F =00N+: 3) º;;N=: 3) º;;N -F =00N-: 7) º;;N=: 7) º;;N IV. 9

120 F O F O 08 pp.7~ N 5_0 m N 07..5_0 m ;&0 m qVg 0.8q 09. h : h 0...6P 0.4P d Mg F. 0.63V 3. P 4P 4. 4F Fd 5. =qgh+ 4 A 0.0A 'm/s 9. h >h >h 0. v = «gh.» A - A. 0.6kg 0 = = =_0 kg/m 3.0_0 fi m 0 P=qgh=(.36_0 )kg/m _0m/s _0.75m =(.0_0fi )N/m =.0_0fi Pa =0kPa kg/m g/m kg/m =0.00g/cm = _ _ =(_0 )kg/m _(00_0 fl )m _0m/s =N kg N = kg _ m/s 05 P=qgh 06 N 5_0 m N N N N F=qVg V= =5_0 m 00kg/m _0m/s N N 0N N N 0

121 7 07.5_0 m m 0 x(m) 60N/m_x =(3.0_0 )N/m (0.5_0 )m x=.5_0 m 60N/m_x +(3.0_0 )N/m =(.0_0fi )N/m (0.5_0 )m x=;&0; m qVg 0.8q F=q_0.8V_g=0.8qVg q' q'vg=0.8qvg q'=0.8q 09 h : h A h B h qåh g=qıh g qå : qı=h : h 0 P=qgh+Pº qvg A qvg P= =qgh A.6P 0.4P 0.5h P 0.8h 0.h 0.8h _P=.6P 0.8h 0.5h 0.h 0.63V 0.h _P=0.4P 0.5h q mg=qg(0.9v) m=0.9qv 0.7m V' 0.7mg=qgV' V'=0.63V 3 P 4P B A B A F A P B P 4P d 4 4F Fd 4 A B A B 4 B d IV.

122 d A 4 A B 4 A B 4 d A 4F Fd 4 Mg F 5 =qgh+ A 0.0A M h Mg F F =qgh+ A 0.0A 'm/s 0m 0m 0 0 [P+qgh+ qv = ] qgh= qv v=' gh=0' (m/s) PÅ=Pı PÅ= FÅ SÅ Pı= Fı Sı FÅ Fı = SÅ Sı FÅ : Fı=SÅ : Sı P+qgh+ qv = 9 h >h >h «gh 0 v = Ú A» - A h P -P =qgh qgh+ qv = qv A v = A v A v A v v = qgh+ qv = q{ } A A A v qgh= q{ } A - qv = q{ -}v A A gh v = «Ú A» - A

123 A B A B A B A A A B pp.3~ = _ _ F=qVg = - =mg-qvg 0 0.6qVg qvg 0.4qVg qvg 0.6qVg 5 = A B B B 0.6d 0.6d qıg A B A B mg A B A B A B 04 A qå B qı qågh =qıgh yy qågx=0.6qıgh yy h = x=0.6h x A SÅ vå SÅvÅ 06 Q IV. 3

124 07 B A ;!; B v A B PÅ Pı PÅ+;!;qv =Pı+;!;q(v) PÅ-Pı=;#;qv B A.5qv C A ;4!; C 4v A C PÅ PÇ PÅ+;!;qv =PÇ+;!;q(4v) +qgh A C PÅ-PÇ=: :qv +qgh 08 P Q P +x -x Q -y 3 pp.57~ kcal æ kcal/kg æ ;$7&3#;L J T _0 J J.. 3. {- }_00(%) T 4..47_0 J.30_0fl J Q=E = mv = _000_0 =.0_0fi (J) Q 0 Q=mcDt c= mdt 0 0 cå :cı= : =: _5 _ kcal Q=mcDt=00_0.03_(00-5)=55(kcal) æ t _00_(t-0)=_400_(60-t) t?46.7(æ) kg K K Q=mcDt Q c m Dt Q=CDt Q C Dt 4

125 05 0.9kcal/kg æ T m c t -T =m c T-t m c (T-t ) 0. (30-0) c = m =?0.9(kcal/kg æ) (t -T) 0._(00-30) = 06 Q=mcDt Q Dt cm DtÅ : Dtı= : =cımı :cåmå cåmå cımı Q=mcDt Q =mc 0.003kcal/æ kcal/æ 0.00kcal/æ 09 A A C 0 ;$7&3#;L V' 473 = V'= (L) PV = T PV P'V' = T T' P' ; ; PV P' V = = P'=P T T ;ˇ; PV P'V' = T T' ;4!;Pº_4Vº PºVº = t=-73(æ) t PV=nRT PV T A C TÅ :TÇ=PºVº : ;4!;Pº 4Vº= : 3 " 4 K cm K 0 V=T 0K 0 IV. 5

126 5 00J W=PDV=_0fi _(3-)_0 =_0 =00(J) F DV W=FDS=PDV 6 - P-V = = _(3+6)_(8-4)=8(J) _0 J PV=nRT 0fi _0.6=n_8.3_(73+7) n?4(mol) P T V V V'=T T' V.5V=300 T' T'=.5_300=450(K).5 450K 50K.5 0.6m 0.9m W=PDV=0fi _( )=3_0 (J) 0 600J Q=DU+PDV DV=0 Q=DU=600J A B B C C D D A Q -Q e= = =0.8=8(%) Q 50 T 3 {- }_00(%) T Tº W =Q -Q, W =Q -Q W Q Tº e = =- =- Q Q T W Q T e = =- =- Q Q Tº W +W W W W W Q e= = + = +{ }{ } Q Q Q Q Q Q Tº T Tº T e=- +{- }{ }=- T Tº T T T T Q A B + B C + C D + D A - e= W Q 6

127 4.47_0 J.30_0fl J Q Q T K= = = = =?0. W Q -Q T -T Q =mh=40_3.34_0fi =.34_0 (J) Q K+ K= Q = Q =.47_0 (J) Q -Q K W=Q -Q =( )_0 =0.3_0 =.30_0fl (J) 5 6 T -T 7 Q=kA t l Q l l Q : Q = : =3 : 3 8 = + + t _9_(50-t)=0.5 0+_80+ t t=36.5(æ) m H Q=mH 9 Q 5~5 (5-5)Q=80m yy 5~0 (0-5)Q=m t yy t=40(æ) 30 pp.6~ Q=mcDt=kg_0.09kcal/kg æ_00æ=9kcal kg 0.kcal/kg æ_kg=0.kcal/æ kg 0.kcal/kg æ_kg=0.kcal/æ æ IV. 7

128 0 0 A 400W_0s=8000W s=8_0 J A 0 8_0 J 40æ Q 8_0 C=mc= = =00(J/K) Dt 40 B 0 8_0 J 0æ Q 8_0 0.kg c= = =000J/kg K mdt 0._0 03 0~4æ 0æ 04 5æ 5kPa 0æ 30æ 0kPa 96kPa 60æ (=333K) 30æ(303K) ;3#0#3#; 05 PV PV { } =nr T T n R 06 Q=DU+W Q W 0 DU 0 07 A A Q=DU+W Q=DU Q A Q Q-W=Q- PDV=Q-PVº PºVº Pº Vº TÅ>Tı = Tº Tı Tı=Tº TÅ>Tº PV B T Tº Tº B Q=DU+W B W=Q-DUQ mol PV =R T R

129 08 Q=DU+W DU=-W W<0 Q Q P 09 J 0% W W e= 0.= W=0.(J) Q 0 4 pp.79~ E=VIt A 0X 9.0_0fi J 5X 3..5W 0.375W 4. A:B=: N S 03 IV. 9

130 æ 08 E=VIt J P=VI E=VIt A 0X 9_0fi J 5X P 500W P=IV I= = =5A V 00V V V 00V I= R= = =0X R I 5A V 00 R= = =0(X) P W 0.5 W=500W_0.5h= 50Wh Wh=3600J 50Wh=50_3600=9_0fi (J) = = _ = _ 30

131 P 500W 50V 500W I= = =0A V 50V 50V 50V 0A =5X 0A 3 A.5WB 0.375W 6V-W A 3 A 8X 6V-6W A B 6X 4X 6V 0.5A A 4.5V B.5V P=IV A 0.5A_4.5V=.5W B 0.5A_.5V=0.375W 4 A:B=:4 R A R B R A B A B A 4 B A:B=: V P=IV= R R R B C D RıÇÎ= R 3 A B C D 3: D B C B C A:B:C:D=3::: 9:::4 9 6 F=BIa s=_f_ b =Fb pp.8~ AB IV. 3

132 BC 0 ABCD AB AB AB AB IV-. pp.85~88 3'+'6 0. mg '3+ mg mg m 0.kg m 0.6kg m 0.05kg m.kg 04. F =0.q d g F =0.q d g 5 d v= «gh A H v æ 06.» -{;aa;} a g g ;#; '+'6 mg '3+ mg mg

133 TÅ Tı'3 TÅcos45 =Tıcos30 = ' TÅ Tı TÅsin45 =mg+tısin30 =mg+ ' 3'+'6 TÅ= mg Tı=('3+)mg C C mg m 00N_0.m+500N_0.5m=T _sin 30 _m yy 0.6m 00N_0.6m+500N_0.5m=T _sin 30 _m yy T 90 9 = = T T =9 37 T m 0.kg m 0.6kg m 0.05kg m.kg P m g_0.4=0._g_0. m =0.(kg) Q 0.3g_0.6=m g_0.3 m =0.6(kg) P m g_ g_0.=0.g_0. m =0.05(kg) Q ( )g_ g_0.5=m g_0.3 m =.(kg) 04 F =0.qd g F =0.qd g ;3@8%;d A 0.04d _3d_q_g=0.qd g 3mgB C D E mg mg mg mg P QD F F 3mg+mg+mg+mg+mg=F +F yyyyyy P A +B +D + Q =A +E+D 0.5d_mg+0.9d_mg+0.5d_mg+d_F =d_mg+.9d_mg+0.5d_mg yyyyyy F =5.5mg=0.qd g F =.5mg=0.qd g E QD F 0 F 0 0.5d_mg+0.9d_mg+0.5d_mg+.9d_ =d_mg+.9d_mg+0.5d_mg IV. 33

134 x x mgx mgx = _mg= d ;@9%;mg= d x=;3@8%;d d 05 v= «gh» -{;aa;} v' v Av'=av yyyyyy p q P P+qgh+;!;qv' =P+;!;qv yyyyyy gh gh v = v= «-{;aa;}» -{;aa;} a A v=" gh h dt dh va dt Adh a A Adh va dt a" gh dt A a " gh A a H æ g dh=dt h H 0 0~T A A H : 0 dh=- æ Ó a " gh a g :)ˇdt=T A H T= æ a g A H 06 v g B v' 3Sv=Sv' v'=3v A B PÅ Pı PÅ+;!;qv =Pı+qgH+;!;q(3v) PÅ=Pı+qgH+4qv yyyyyy PÅ>Pı 5q PÅ+qgh=Pı+qgH+5qgh PÅ=Pı+qgH+4qgh yyyyyy v 4qv =4qgh h= g A B H h 34

135 07 8._0fi W Q Q Q -Q e e= W=Q -Q Q W= Q Q -e kg Q =_.3_0fl =4.6_0fl (J) e 0.5 Q = _4.6_0fl?8._0fi (W) -e _0 m 4æ 0æ 4æ A mkg x Q=qAx_ =90_Ax_336_0?3.09_0 Ax yy DT 0 Q=kA t=.68_a t=336at yy l 5_ = x t 09 ;#; =3600_ _0?3.9_0 (m/h) A B PV P V A = yyyyyy T T PV P V B = yyyyyy T T V V +V =V yyyyyy A l T T T <T t Q T -T Q=kA t l k P =;#;P r 0 P =V r=r, P (max)= (R+r) P V -- 4 R 4 V R O R r V R+r V P =I r={ } r r=v R+r (R+r) (R+r) P R r R R +r +r r r IV. 35

136 R r r P r R 4 V R IV. pp.9~9 - ;A; a ;A; tanh= =;!; a ;A; a ;A; tan tanh= =;!; a - V x V x 0.9g/cm 0.9_0 kg/m.g/cm =._0 kg/m g 0.9_0 xg+._0 V-x g=66g g/cm _0 kg/m L _0 m _0 kg/m _ V+_0 g A B VÅ Vı xå xı 0.9_0 xåg+._0 VÅ-xÅ g=66g yyyy 0.9_0 xıg+._0 Vı-xı g=66g yyyy A B 0kg kg A _0 _ VÅ+_0 g=(66-0)g yyyy B _0 _ Vı+_0 g=(66-)g yyyy VÅ=64_0 m Vı=6_0 m xå=_0 m xı=_0 m A B eå eı 0.9_ _0 0 eå= =0.3 eı= =