B θ 54 B = 05 T MN A 88 Ra 88 A L U 86 Rn A MN OA = 0 m MN MN n m OA 0 m q 6 88 Ra 3 4 r L abcd N B OO' ω R R 6 O EF O n = 槡

Transcription

1 A Ⅰ Ⅱ 50 C E E 0 D E P = 0 E P A B C D l l l 3 l 4 C Ⅰ D Ⅳ A l > l B l 4 > l 3 C l > l 3 D l = l 4 0 α β γ 5 E E A B C Dα β A E E B E E D E E 3 n = n = n = 4 A En = - n n = 3 A A a t = 0 B b t = 0 C c t = 0 3 A 3A/6 B 7A/6 C A/6 D 3A/6 D d t = F 8 b A c R mv = F B C 50 Ω D 9 xy q c 34 M 3 a b q m L 4 μ v N A y B x Ⅱ c = m/s lu = K kg 935 MeV e = C A K Ⅰ 40 y B K 4 0 C K r E P r = r 0 D K E P = 0 7 x 4 cm x 3 O v 0 = A r > r 0 E P r a b c d 3 mv 50 mv 45 Ω B r < r 0 E P r 4 0 ma C r < r 0 E P r 5 V R0-999 Ω R 0-50 Ω? 5 ma 50 Ω K a R mv

2 B θ 54 B = 05 T MN A 88 Ra 88 A L U 86 Rn A MN OA = 0 m MN MN n m OA 0 m q 6 88 Ra 3 4 r L abcd N B OO' ω R R 6 O EF O n = 槡 O m A m B F C F B EO 4 B O A D F CO = 4S OD = S B O

3 A Ⅰ Ⅱ U 83 Bi Ⅰ B β C β m m m 3 D U 0 β 8 α 8 Pb 9 A m + m = m 3 7 t = 0 s P B m + m > m 3 C m + m < m 3 D m + m - m 3 c / h c h A B I a b U A I U B I U C I U D I U 5 R B a b R C 0 b a XX 8 Ti 0 a X b 8 Ti 06 8 Pb A m/s B m/s C3 m/s D4 m/s A a = 84 b = 06 D m Ⅱ 0 C cm cm cm A v = 5 cm/s B v = 50 cm/s D C v = 5 cm/s D v = 50 cm/s 3 h = J s 400 nm U 8 A B ab U ab = U a - U b I F J U ab /V I /ma A B C D A 4 B R K C A D B a b 9 S > S K K A b a B K B C 45 D 45 A U ab 0 3 cd

4 B u cd ef e f M MN U ef T v N abcd P 0 Hz ~ 00 Hz h G abcd 4 U ef 55 MN PQ L U = 00 V B R U = 00 V R m r 3 ab ab MN PQ ab R ab 3 ab 4 R r B = 04 T t = π s P Q PQ PQ = 3 m PQ q ab cd c d D = 5 m m = 0 04 C/kg F F kg N 60 mg 0 m/s 65 kg v 0 v 65 v v H V ρ c 75% 0% 80% 3 g 0 m/s v = 3 m/s v = m/s H = 6 m V= m 3 /s ρ = 0 3 kg/m 3 40 V 6 Ω 5% 0 V n n 86 v 0 v 0 v

5 3A 7 7 x Ⅰ Ⅱ Ⅰ 40 B C 4 D 0 8 A x P A B P C D H + 3 H 4 He + X c A X c B X c C X c D X c 3 A B C A B D B A 4 K A a D A 0 d = 0 5 mm B L C D x A 9 S S O T S O r S S r G S B M N A 4 π r r - r B 4 π r 3 C 4 π r 3 D 4 π r r C GT GT GT GT D K 0 k 3 5 n A n - B k A B k C 3k Dk C Ⅱ 0 L = mm mm x = L mm x 7 = mm 0 4 V W I - U A 0 ~ 5 V 0 kω B 0 ~ 0 V 0 kω C 0 ~ 03 A Ω D 0 ~ 06 A 04 Ω E 0 Ω A F 6 V

6 3B R 3 V 5 Ω F = ks v S v k C MN d W 00 g S 0 0 m/s E - q m 6 90 C N A C kg 000 C 34 e = 3 sin34 t V A A m B 3 3π 4 44 r = 0 cm 65 MN PQ A m = kga L = 0 m R = 04 Ω m = 0 kg r k k = 05 = 0 Ω B = 0 5 T ω = rad /s F 86 A B C m A = 0 kg U t m A B = 0 kgm c = 0 kg A B 5 s g = 0 m/s A B 08 J 4 s F C 4 m/s B B C AB

7 4A Ⅰ Ⅱ 50 0 Ⅰ 40 D 7 S 0 A S 0 S 4 0 A S 0 C 8 ev A B 0 B B m A gcosθ C B 0 D B m B g - m A gsinθ 3 D 49 ev 9 p p + p p + p + p + 珋 p 珋 p A m p B A 0 C B D C m p c R R 4 D m p c A 0 O OP = s t = 0 O 3 U - I B P t E = V r = Ω C D 5 R > R Q m Ⅱ m e 0 U h 0 8 A cm h B λ= 槡 meu C U D S A S A B C D B S A B B C S A B AB m A m B θ D S ev n = 6 A ev B 8 ev D t O s 0 A B C D 5 V Ω 0 ~ 3 V 3 kω 0 ~ 06 A 0 Ω R 0 Ω A R 00 Ω 0 A A /t - t A B t P y B R R C st - t / t C

8 4B M = 4 kg ρ 4 h μ = 00 m = kg G V= 4 34 m = 60 kg A 3 π r 3 L = 5 m t = s B θ= 37 C AB h AB = 5 m B C S = 75 m g 0 m/s sin37 r S = πrh r h = 06 B v B AB d A B θ = 30 abcd 86 L = m U λ B r B m = 00 kg q = + 槡 0-4 C μ = 槡 6 6 B = 0 T S L m = 0 kg r = 0 W m e Ω B A B = 0 4 T L a ac v = 30 m/s g 0 a c k = 0 T/s

9 5A A a b b c B a c c C a b g Ⅰ Ⅱ 50 D b d 0 7 F = Ⅰ 40 R a b R 4 I ab U 0 A I U B I U V E = - 54 C I U D I U R v R v 800 ~ 900 Ω 4 ev 8 A v 0 A B v - t S A0 ev B408 ev P b C50 ev D43 ev 3 4 S 5 R V AB 6 R 0 05 V R 0 R v A hv = mc p = p' C hv = mc + E k p = - p' B hv = mc p = - p' D hv = mc + E k p = - p' 6 O x A O S O A C S C E F > O F < 0 a b c d x a Ⅱ 0 ABCD E S T a a = A B C A 7 S A D B A B 3 C A B B 000 Ω C 0 Ω D B D 9999 Ω A 9 X Y X P 0 Ω Q B Y R E 99 9 Ω S 0 C Ω A Q S B X R F 6 V D C X R D R 4 0 S f A a S A f B A b f < f P C B C D E D A a P R 5 v R R m - e m e B P P A E k + A C b S v hv p a S A R > R D A p' + A P B R < R C R v R R D R v R R 0 3 8

10 5B θ= 30 L = 05 m E = V76 xoy E y m = 0 kg ab x B 34 μ = 槡 3 6 m e y P v 0 B = 0 8 T x 45 R P a = 60 m/s g 0 m/s g 0 m/s R = 0 m π = 0 P h 3 P P abcd ab = 0 cm bc = 0 cm n = m R 4 槡 R = 5 Ω A m R CD B B E B O E t = 03 s ab DE m α B DE m min EF CD m EF P E m EF BC m Q Q

11 6A a MN A30 AB MN A B C D 5 A B C h A U B L C d Ⅰ Ⅱ 50 0 D U 7 x t 0 Ⅰ 40 Δt = 0 s m A s 0 B 0 s b X a X C 9 m/s R 0 S D 9 m/s U A a b B a b 8 0 V - E V r Ω C a b v L 4 D a b A v L B v L γ E km C v 槡 L D v 3 4 V Ω R R R 3 4 Ω 槡 L γ h C 30 pf kg J s S A AE km B E km + hγ β S C A0 - m B0-0 m C E km - hγ D E km + hγ C0-9 m D0-8 m 3 0 A E = F q B C D M R g G m R 4 MN A G M B G m R R C G Mm D R Ⅱ 0 D 6 U v 0 E 9 V r 50 Ω g mm mm 50 ma d U L R 0 ~ Ω R 0 h R 0 U A0 Ω 5 W B00 Ω 0 W C00 Ω 0 W D 000 Ω 50 W

12 6B n m 4 R m l n t m V ρ V ρ l μ v 0 Φ0 T v f = ku k u n t = 0 t = T 4 q v t = 0 t = T Q i i n - v 3 n = 4 l = 00 m v 0 = 30 m/s g = 0 μ 7 xoy O Ⅰ q m = 04 C/kg v 0 = 0 3 m/s x 5 30 y Ⅰ xoy 5 CO Ⅳ xoy B = T S CO O x x /6 v t = 0 t = π 0-4 s 3 CO n CO μ xoy t = π 0-4 s t = 4 π 0-4 s N A 3 3 CO CO 6 xoy t = 0 O v 0 O x x

13 7A Ⅰ Ⅱ 50 0 D V 40 W 0 V Ⅰ A B A A B B A B 4 C D B a b C a b D a b A 6-50 A a b Ⅱ 0 B 8 C cm C D A B C D 8 M A m B C A m + M g D B Mg 50 Hz 3 C m + M g m/s P D m + M g m/s A 9 abcd S m M l g B S a C μ μ = R D ab 0 4 α α l B ab F P Q PQ ab i 0 i 0 α i ab x A B C 3D 4 5 A B A B A B 4 0 a b a b a b 0 ~ 06 A 0 ~ 3 V F b a b R 0 Ω R 0

14 7B 54 L B 76 M = 4 kg L = 4 m 3 R 0 MN PQ m - q m = kg U I U I MN 00 < 0 < 90 μ = 04 F = 8 N r = R 0 U I U I 3 S R Ω v PQ F v v v PQ 3 R 3 = 6 Ω r Ω S R Ω v PQ v v F 6 W W g = 0 m/s 44 MM' NN' l = 04 m B = 05 T ab cd R = 0 5 Ω ab m = 04 kg cd m = 0 kg cd ab v 0 = 0 m/s v = 5 m/s cd cd cd cd 3 cd m 5 m 0 m/s m 0% m 3 00 kg 04 s 88 m e U 0 3t 0 t 0 U 0 獉獉

15 8A B D K 8 6 A A6 V B6 V Ⅰ Ⅱ 50 C D C A V A D B V V 3 F F F 3 C V A F = 8 N F = N F 3 = 0 N F D V A 9 m T A B F F 0 N a b A K K K C K A B v C a b D a b Ⅱ B C00 V D00 μ A C E05 ma F0 ma Ⅰ 40 D m F s v a 4 F I 3 A B 5 a b c d e G 0 獉獉獉 c f c f 4 cd A B cd a b 8 P a b A m MN B Q P R s s d C F F 3 3 N A A B mv D F F 3 N mv 4 O B A B T C A B a b 4 mgt d = cm v = m/s v = D A B mv m/s A a b 0 a b 3 g v v B a b F ab θ L P R S PR C a b D a b A ab 5 B F 4

16 8B P 55 m q v 0 76 m 4 m/s t = 8 s U d L μ Q 3 t Q 3 v L R L C I U I = ku 3 k = 00 A/V 3 R AB m F 4 Ω E = 6 V S E 0 L A B C m A = m C = m T G 06 A R r 3R R r P P P r m B = m AC B C A B C A B C C A B C L A L B 3 A B C C

17 9A A a b a Ⅰ Ⅱ 50 0 B a b a m A m B r α β b B s Ⅰ 40 C a b D A b 3 B 4 8 x t P' 0 B = g t + 04 s x 0-6 m A B U - I a A 0 m/s VΩ C B 04 s D C t + 0 s x = 6 m D x ab cd L R m A MN B C B MN D T A 3 N A M ρ v 0 E 5 Ω A A mv 0 B B L v 0 C B L A D B L v 0 F 00 T R 8T R R Ω A A kg ρ N G 000 A 0 P Q PQ M Ω A B M/ N A 3 PQ U - I C m 3 N A / ρ M b N D M/ ρ N A 4 A X D α A B B C B D B 7 S A a b B γ C A B C D D PM QN 5 E = ev Ⅱ m A A A0 ev B455 ev O m B B H A B C484 ev D50 ev A L A 6 α A B A C β B

18 9B u = 0 槡 sin00πt V U NMPQ MN :0 R 0 Ω PQ l = 050 m m = 050 kg ab 0 kw abmp g = 0 m/s ab R = 0 0 Ω B 0 = 050 T B 0 t = 0 ab T t 3 ab 4 t = 0 ΔB /Δt = 0 0 T/s ab ab ab ab bc R = 05 m b b m a 6 5 v 0 = 6 m/s b c a g = 0 m/s c x > 0 x E = 0 N/C x < 0 xy B = 05 T q / m = 60 C/kg x = 0 06 m d 86 kg A B v 0 = 8 m/s y B kg MN y O A B v 0 = 6 m/s M B M 3 M AM N N A B N A B A B μ = 0 A M AB 3AB

19 B N < N 0A Ⅰ Ⅱ 50 0 A45 m/s B65 m/s Ⅰ D75 m/s 4 7 A B 0 A 997 B 0 - K A B E φ 0K 0K A0K 0 B0K 0 A E A > E B B E A < E B C0K C φ A < φ B D0K D φ A > φ B m - e m e 8 n : n : n 3 = E k 4: : n 6 W 6 V v hv P P' n 3 m E = mc 3W 3 Ω R A p = p' B p = - p' A3 W C hv = mc D hv = mc + E k B6 W 3 0 ev C W E n = - 36 ev D4 W n A n = B n = 3 C n = 4 D 4 O x r 3 A r 3 r B r 3 r r r P AP C r 3 r 0 L P L D r 3 r 5 AB I I CD A N A Lm B N A N < N A A C N > N A D N > N A 6 x T t = 0 s C5 m/s 9 J J m 50 Hz g = 98 m/s C D Ⅱ mm 5 60 mm A B C D 4 O 4 A B C D S OA = 6 99 cm S OB = 70 8 cm S OC = cm S OD = 8573 cm O C AB R Ω 6 V I IA I A

20 0B I - L 44 m 76 B = 0 4 T BC AC 37 v L = m 5 m sin37 = 06 cos37 = 08 R = R 3 = 8 Ω R = 4 Ω d = 0 mm m = 0-4 kg q = 0-5 C S S a = 5 m/s g = 0 m/s 3 S S H R N t R H N t G C 4 b k 3 6 r R 0 + Q B L A 6 89 B A B A B d = 0 cm A A B P Q P B P Q A B 0 ~ m/s A B B = T m = kg e = C 3 A B 8 T m B A B BC C t B C W g B C 86 E AB m A

21 A Ⅰ Ⅱ 50 0 Ⅰ 40 B C I I I > I 4 D R x R x = 0 8 a b a 3 E R x a b v a v b A R x B A a v a > v b b a C 0 D B a v a < v b b a C b v a > v b b a A D b v a < v b b a O B 9 A B C C h m R D g E K 3 A mgr + h B mgr + h A C mgr + h D mgh B 0 C f = 50 Hz D F B v B = m/s 3 4 m = 00 kg M= 00 kg 3 l l l : l A μ A4:9 B9:4 B g = 0 m/s C 槡 3 : 槡 D 槡 : 槡 3 C Th x α y β 8 PbD A x = 6 y = 4 C x = 4 y = 8 B x = 4 y = 6 D x = 8 y = A 3 B C D 7 7 ev n = 4 A4 Ⅱ 0 0 R x 40 ~ 80 Ω E 0 V A 50 ma r = 0 Ω R 0 R 0 = 30 Ω K

22 B 3 m = 0 kg A 54 n = 5 76 m A = 0 kgm B = 0 4 kg A B O M = 05 kg MN AB i = arcsin075 B B A O r = 0 m E 0 = 0 6 J v 0 = m/s B F N = 3 0 N A g = 0 m/s AB 44 MN B 0 66 ABC A' B' C' AB A' B' 88 A B L A B 0 BC B' C' P a R v MN C C' E MN H a t = 0 Ⅰ Ⅱ MN BB' t L K b c d 0 t BB' b a c K AB hh < H MN a b m Ⅰ P c F f MN BB' Ⅱ a b c d d Ⅱ

23 A 50 0 AB OL b ev c - 6 ev A6 ev B4 ev C6 ev D4 ev Ⅰ f v f = kv k 0 S P 0% c = m/s A P B00P O A v k = Nm /C h = J s G = Nm /kg e = C t Q t A B C A B 80 D C3 D4 A05 mm B050 mm f f 8 ab M N C5 0-4 m D m A f f B f f V 3 V C r 0 D r 0 3 ΔE ΔE A A ΔE > ΔE B ΔE < ΔE C ΔE < ΔE D ΔE > ΔE 6 B C D a 9 bx α E 0 4 A A E 0 B C B a - 4C C C a - 4E 0 ae D 0 C a - 4C D V 0 r = 5 a 0 ev E 0 Ⅱ 0 C 0 9 P D0P v = 36 m/s h = v L P Q cm v = 785 m /s gh = 78 m /s P Q P Q V 5 V R 30 kω R0 ~ 750 Ω 6 V V

24 B 33 L = m ABCD 54 A 0 kg F 76 l = 0 m MN R 0 = Ω/m F s O r = 05 m 8 m v 0 = 0 m/s μ = 00 B = 05 T MN A g = 0 m/s AC v = 4 m/s 5 s AC AC AC MN A B d = m A 609 ~ 69 P 0 ~ m/s Q P B B = T m = kg e = C 43 n = 槡 3 ABCD EF AB CD P PQ s' QP AD θ= 30 PQ A B s' s' P Q θ r v R g 獉獉獉獉

25 3A Ⅰ A 63 8 Ni 0 - e Cu B 63 8 Ni 0 - e + 63 C 63 D 9 Cu A B C D 3 T T A A B C D rr m km 09 ω0 R g A B Ⅰ Ⅱ 50 Aπ r3 B π gr 0 槡 gr C r D B 8 k C m q D 4 O m /kg E T /s A qe / k A a b b c T /s 槡 3 +ω0 B qe / k T m C B b a D C c a 9 D a b 5 P Q P Q K A a B M N C D K C π D π r gr + 槡 Ⅱ 0 gr ω0 3 - ω0 槡 r O y 005 m 0 04 s x 0 m/s 00 y 0 s Ni 63 β 0 s 63 a s s T = T 0

26 3B 3 V 55 B = 0 50 T 76 A B 6 MN A 88 R a m A = 3 kgm B = 6 kg R a 86 R n 88 R a A A B B F = 3 NB MN OA= 0 m MN MN OA F 6 0 m 88 R a u = kg e = m/s B s = 075 m A B C Ω V 0 5 V E R V S S E r s a a 33 5 t 55 kw 40 km/h 7 km/h g = 0 m/s 66 m = kg m = kg A B AB F F F =9 - tn F =3 + t N t 0 87 D R d U m q E max 3 v = Δ s Δt v - t Δs 43 A CO a = Δ v Δt a - t CO 4 a a A B s /6 v CO CO n CO CO μ

27 4A Ⅰ Ⅱ 50 A 30 0 Ⅰ 40 A B AB φ E A φ A > φ B E A = E B C φ A < φ B E A = E B B φ A > φ B E A > E B D φ A < φ B E A < E B 7 5 V 03 A R 0 5 A 5 Ω R n = 0 ev A 50 Ω A 0 ev B 0 ev C 0 ev D 0 ev 8 L O m A 槡 3 mg B 槡 3 mg C mg D 槡 3 3 mg Q ΔtΔt < T T P Δt A 3 B A009 m B m C003 m D3 m U - I C 0 AB D U/V I/A A B m A m 4 0 V 5 0 Ω B C V A C D V 3 A A A V B B B 33 3 AB 5 N C C A B D X D mv A F B Zn 8 Pb Ⅱ n A B C 3 D 65 F / N S 5 S 8 45 m/s A45 m/s B - 45 m/s C C490 m/s D m/s 6 AB A 3 P = U R 05 A Ω 3 V kω

28 4B 43 0 m A B K A 0 kg 0 Ω g 0 g m B m 0 A A B T = N t = 0 R g = 0 m/s 7 8 m C A H C A A AC h m B B B T 0 C h A G 55 xoy R B 76 m e l xoy R 0 E B m - q 0 R x V 0 d y

29 5A Ⅰ Ⅱ Ⅰ 7 D 6 A sinα/sin β B sin β /sinα C cosα/cos β D cos β /cosα 0 6 a b v 0 A v 0 B α C v Dα β γ γ A B C A a b A v = v 0 B a b D B v > v 0 3 A B C F C ABC C a b C v < v 0 D b a D 7 n R 3 a b A / n R 3 B 槡 n A A6 B C 4 B A5 B 3 C 3 C A5 B C 4 D A6 B 3 C A 4 B 7 C 5 D 8 5 AB CD D ab ab CD α CD β α > β α + β 90 9 n C n D / n 8 cdef ab ab B ab ab C ab ab A R 3 a b A B C B R 3 a b C R 3 a b D R 3 a b F F A ab ab F F P P

30 5B 5 abcd 0 m 0 5 Ω 6 A 0 T B R 0 m/s c d C C A P > P B P < P U cd = AB AB g C P = P D F F Ⅱ A B C D 4 + Q A B + Q r 3 r a A a a B A B W a AB

31 6A D R = 0 Ω R' = 0 5 Ω A5 B60 C470 D v 0 A B 4 0 A A B B 7 s C C D D A7 m/s B57 m/s C6 m/s D6 m/s C 3 4 D 4 θ C A B D A B C V A R = 0 Ω R' = 0 Ω 470 B R = 0 5 Ω R' = 0 5 Ω 000 km /6 C R = 0 5 Ω R' = 0 Ω 6 A B 3 : C AB AB 54 km/h A s m B 9 P R' g 0 m/s 3 A 7 x B 00 m/s 獉獉獉 C A b D θ0 90 B 0 0 s b m 3 C 50 Hz D 4 m F 獉獉 A C C =ε0 S / d 獉獉 B ε0 = Fm - S d C D A mm 06 mm B 3 4

32 6B pf 05pF 7 8 mm R g 5 v R' B C B C M m A a L = 034 m P t F N A B C A B C t A B C 5 V 300 kω 300 μ A 獉獉獉獉獉 a = mm BC L = 50 mm F N = 300 N 50 Ω kω E = V r = 6 Ω F T F T N I U G 0 00 A 00 Ω R = 9900 Ω R = 0 Ω S 9 + q m m A B v 0 A B B A 3 B ABC d = mm 3 ρ 4 5

33 7A Ⅰ Ⅱ 00 C I K 90 α α A mgh A B Cα 6 MN PQ D 8 S x a b a v = 400 m/s t = 0 b a b x = 40 m A B x = 400 m C D 3 0 V 50 Hz A S y B x = 40 m t = 05 s MN PQ μ I IJK K 獉 J MN L A A J v + v L B μ g v B I K D IJK B C mgt / D mgh A 60 B 80 C 00 D 0 0 L v C L μ 槡 g D L v Ⅱ 70 7 m Ⅰ A B O C m AO OC = h T 7 A B C 3 C 0 6 A A B B C C B C A C A B Ω00 0K 00 0K Ω Ω Ω A C t = s 39 B D S x C 9 D 4 m 0 8 cm E = 9 0 V 4 m F s v G R g R /000 a I S R 0 I = ma 獉 I = 36 ma 50 N 500 N 750 N 000 N m 005 cm 004 cm 008 cm 0 cm 06 cm 5 A B A B m m A B A B B v v A A C A mv B B A mv D A mv m 005 cm 008 cm 06 cm 04 cm 03 cm m 00 cm 00 cm 004 cm 006 cm 008 cm N

34 7B P U XX' YY' u u 3 U > 0 u = u 3 = 0 6" 0 W 48 O u 3 = 0 u 3 m 40 m 60 kg 40 N 30 kg 40 V U = 500 V l 0 kg 35 A 4 cm d = cm M = 70 kg f XX' k = 00 g = 0 m/s L = 8 cm D = 0 cm u v = 0 m/s 7 R = 5 ΩR = 6 Ω 0 ~ 0 V ~ 3 A ab h R ab g 0 R 30 Ω F = 40 N ab v ab v R 3 Ω ab ab F

35 8A B b a Ⅰ Ⅱ 50 0 Ⅰ 48 D A B 5 A R A - 8 ev B R C R 3 A B A D R 3 B A B C A B D A B 8 V 6 n : n A V B0 V C3 V D0 7 x 00 m/s 獉 A 0 0 s a 04 m C 50 Hz D 3 m 8 O 4 48 x Ⅱ 0 4 F > 0 F < 0 0 a b c d x 39 a 3 cm A A a b b c A M O B B a c B OM L C C a d b C 30 D D a d c D 50 t T = t /50 9 n A a v E OM L T n s F L T g = B 4π L C A v g v s s T B C D a a v v D 0 ABCD OM 3 A B v B C 3 OM L T OM v v > v C A L T A v + v B v - v 4 R x C v - v D v + v A 4 A β B B R x A 5 ma 00 Ω V α B 3 V 3 kω R 0 Ω E 3 V C C S A C A D B A C C A C 5 R t B t I = 0: ab 0 V I - t

36 8B 73 Y m q 94 L MN PQ + X v X P Y M B M O H Y ab cd R θ= 30 m = 4 kg f = kvk = 5 g = 0 m/s θ= 30 m ab I' cd Y Y ab cd P cd ab 3 R R R m M 63 3 kg A m q 08 m kg B B M : m = : L L 0 = B B O R W= mgr - g = 0 m/s r m 5 L E g R r B 3 A B

37 9A Ⅰ Ⅱ 00 h 90 Ⅰ 40 C D 7 A 4 B B AB v 0 6 A A B B A A 3 V 3 kω B A B B B B 3 A 00 Ω C A B B A C C R = kω 05 A D A B B D α D V 8 E n n F A B A n C > n D B n < n 3 x C a b D 9 v 0 A a b B a b C a b a b D a b a b 4 ABCD O AB O + Q Q A A B B C C D D 5 X 60 ev n = 3 X 0 4 A B C D 6 A B A B Ⅱ 60 C D 0 v 0 θ μ < tan θ v t R V = 3

38 9B M = 0 kg 6 xoy O y O y m = 0 kg μ = 05 O F = 60 N F = 9 0 N x T 38 t = 04 s g 0 m/s T / A B F F μ = 050 g = 0 m/s A C S = 6 m h 40 MN PQ R m v R P R P 4

39 0A 6 Ⅰ Ⅱ 獉獉 A Ⅰ 45 B C D 3 3 x x = - 0 A B - mx = 0 - m v = 0 4 m/s A= cm t = 0 C D x = 0 m 08 m P Q M 7 A x = 05 m B C D h a a MN b b A A A P Q y B B A B t = 075 s P Q M C C B C t = s M + 4 cm D C C A B D t = s M - 4 cm 3 D A B 4 b h 0 9 L L L 3 L 4 l A m/s B5 m/s C m/s D5 m/s P B I 4 U A L L e h v B L L n m W A mgh + mv B mgh + mv C mgh + mv A h B h C h D 8 AB Φa >Φb >Φc >Φd C L L 4 D L L 4 C P Q D P Q A B C D C BI D 0 eub Q 5 R 0 R U D A Q P 5 B Q P a b L L C C O A BI euh B BI eul

40 0B A B C C L D L Ⅱ cm 78 6" 30 kg mm 0 0 kg Ω A 0 ~ 06 A 05 Ω B 0 ~ 3 A 0 Ω C 0 ~ 3 V 6 kω D 0 ~ 5 V 30 kω E 0 ~ k Ω 05 A F 0 ~ 0 Ω A G 6 V H 3 0 W M = 70 kg F k = 00 g 0 m/s 40 V 35 A g 0 m/s 09 E B y m - q - lo v 0 x 3 l = mv 0 qe d 9 cd ef 60 S B L m R S ab S ab S ab h = 5 m m = 0 g q = 0 C v = 5 m/s B = 0 T g = 0 m/s m 4798 t 4 h 5 R km g 0 m/s 90 ~

41 A 5 xoy x t = 0 m/s P - y Q A t = 0 - y B t = 0 s C t = 0 s + y D t = 03 s 6 n = 00 n = 80 U = 0 槡 sin0πt V R = 45 Ω v Ⅰ Ⅱ A 50 Hz B A 03 A Ⅱ m R 4 a μ c v 3 m γ m m m 3 h c γ γ T C Ⅰ 40 A A D V 36 V 7 m L C = 30 μ F θ 4 0 l = 5 cm l = 8 cm T/s C A A B C B D 8 λ c h i C r D A i < r B λ =sin i /sin r λ C E =hcsin r /λsin i D E =hc /λ A B 9 M N C D 5 M N 3 A 5 40 A t N > t M B ΔE M :ΔE N = : B C q M : q N = : D Δp M :Δp N = : C 6 n = 槡 0 m D O h O a 4 ω T P A M a M = - g A P B N T B N = mg C C m D / m D

42 B 7 9 m L R abcd 0 ab oo' P M B dd > L μ g ab F ab ob oa c v cd μ v 0 d c e g oc = od = oe E g t v cd od oo' 8 36 km/h 0 m 09 m 6 m m/s 50 kg 04 s

43 A Ⅰ Ⅱ g = 0 m/s Ⅰ 40 A x B P b x C P 00 s D 003 s a x = 3 cm A C A B 5 J J A a b 5 J B a b J C a b J D a b 4 J 9 b A V A B V A C 5 n = 00 n = 80 D U = 0 槡 sin0πtv R = 45 0 M N N M Ω 0 N H N M M H A M N B M N C M N D M N Ⅱ 60 B 4 5 C A 50 Hz B A D 03 A OO' C A A D V 36 V ω cm t = π cm 50 ω cm V R v 900 Ω AB A A A B V C 000 Ω B b a A D 0 Ω A E 9999 Ω 0 F 99 9 Ω D 0 Ω G 3 V Ω 7 n = 3 A B C D θ A B 3 90 Th 9 Pa A A γ Bn = 3 A A 34 Bγ 9 Pa C A C D n = 3 n = B D n = B 4 x P 8 a b 6 m/s

44 B R V 4 AB μ = 0 BC 6 A B Cm A = kgm B = m C = kg m 4 m = 0 kg A A B C B A B C 3 A C A B F = 4 N A t = 5 s 7 J AB B F B C C n n < T G 5 abcd L bc L ab m R ab = R cd = R bc = R ad = R cd OO' t ab v B g ab

45 3A Ⅰ Ⅱ Ⅰ A B 7 a b c O C D 3 4 B A B m A O θ C A A B B A B C A mgsinθ D 3 4 D A μ = tan θ 3 8 PQ v = 80 m/s 4 f = kv 80 km/h 0 km/h A 3 B 4 9 C O l m q E v 0 v 0 D M O A A P m M M PQ B A Q A B AB B a b c > φa φ b > φ c C 3 4 W = W 34 A B A A B P B A B A B P B A C B Q D B Q Ⅱ AB = 765 cm BC = 97 cm 50 Hz B m/s 0 A 50 ma r 5 Ω A 300 ma r 5 Ω R 9999 Ω 0 R 0 Ω E 0 V r Ω f = 00 Hz P Q d = 46 m Q S Q P A r = Aπ槡 ml qe B π ml 槡 qe Cπ槡 qe ml D π qe 槡 ml

46 3B A 6 P m B B H A m M M = 0 μ = h P B f P f = kmg k = f P 0 05 R g P B PB P B v 0 = 0 m/s P t 0 = s B P B g = 0 m/s P B P A B d = 0 6 cm d U B B = 0 A φb φa t = 0 B B a b a b Δx q B 0 ~ T v T ~ T a b Δm A g = 0 m/s

47 4A Ⅰ Ⅱ 50 0 Ⅰ 40 A O β α A 4 0 B B O α P β 3 H H Δm C a b N A c mol mol D a b C O γ P α 7 A B A D O γ P β A N AΔmc B N AΔmc CN AΔmc D5N AΔmc A kg μ = 0t = 0 A A m B = m A v 0 F = N F f B A m B = m A g = 0 m/s C A m B = m A 3 x P t s P A 4s B s 4 5 BC AB AC BC A C 3 B D 3 6 B 6 kgm/s A - 4kgm/s A B :5 9 0 D A m B = m A 8 6 A S = 50 cm S = 8 cm S 3 = 304 cm S 4 = 38 cm S 5 = 458 cm B S 6 = 536 cm S 7 = 565 cm C D Ⅱ C 4 3 s D 3 4 s n = n = n = 4 4 E n = - A n A 3 6 A B 7 3 A C A D A a = m/s A B 0 R α β γ C D LL' MM' O P cm

48 4B AB CD EF AB CD l CD EF l kg C AB CD B CD EF a R A 040 m B A AB b R u 0 m/sg 0 m/s m - q c R R A B U AB CD CD A u / d R R x r = R x 3 E x 3 E ym v 0 A uu > v 0 CD CD θ EF CD EF B 4 V 50 mv 50 Ω R A 0 ~ 0 Ω A B 0 ~ 50 Ω 5 A R C 0 ~ 9999 Ω D 0 ~ Ω 54 O A R T g A h θθ R kmg R 66 B = 0 5 T 3 r r ef OO' 88 P m Q m M M = 8 μ = 0 0 MN P P Q F = Q P k = 4 F P P Q P Q P MN h = 0 m Q v 0 = 8 m/s Q A r > r B r < r C r = r D r r r ab cd ef l = 0 5 m R = 3 Ω g = 0 m/s 4 R = 3 Ω R 3 = 6 Ω ac ce bd df l = 06 m P MN t T v = 0 m/s P MN Q v 6 90 OO' 3 Q P ef cd ab I a 3 cd ab ab I a ' v = m/s L = 0 m 3 ab h = 0 8 m W μ = 0 g = 0 m/s

49 5A S D Ⅰ Ⅱ Ⅰ 50 3 M N L m 6 Ω A A M N L 0 ~ 0 6 A 3 V 0 ~ 3 V B M N L 4 3 V 5 C M N L 0 ~ 5 Ω 5 A 6 A D M N L 7 B 8 M C 0 kg/mol ρ kg/m3 V m 3 N D A d mm 3 3 6M 0 M 0 槡 πρ N A 槡 ρ N 3 N 3 A ρ v 6V A M 4槡 πn A AB R A 4 B 3 C 4 D 34 A B U I 9 a 0 V A 040 A b 3 0 V A P = I R B P = U R B 038 A C P = IU D C 43 0 D 44 9 A B 3 C 4 D 3 6 S S A B C C 3 α 40 8 Ar D A 9 44 B xoy q y a x b W 4 A B C a x c W A B C W > W f f f 3 Ⅰ 3 Ⅱ 3 Ⅰ Ⅲ 4 Ⅳ Ⅱ A B 3 C 4 D 4 Ⅱ 70 m/s t = 0 a a t = s a g Ⅰ Ⅱ R x Ω 3 48 : :0 A f = f = f 3 B f > f > f 3 C f 3 > f > f D f > f > f d 5 C B 60 s v 4 s 3 s 6 m 4 3 a b c d e f g h i j k lm

50 5B m = 0 kg L = 0 m B = π m / q 30 E 0 = mg / q θ R = 05 m R = 0 m B = 0 T F = N F m q / m = c /kg F s = kt k q t = 0 F 0 3 m/s F s g = 0 m/s 3 4

51 6A 04 Ω 40 kw 800 V Ⅰ Ⅱ A B Ⅰ 36 A B m C D 6 t = 0 A kwh B6 0 3 kwh D t = s P Q C 0 ~ 0 s C6 kwh D0 kwh D t = 0 s A h 0 B ω θ 0 V C D A hω B hω 55: sin θ cos θ 8 kg A 0 V B 4 V 00 m/s 0 00 s C h ωsinθ D h ωtanθ θ θ C 4 V D 00 V A 0 N B 0 4 N Ⅱ 64 A B C 0 5 N D 0 5 N 3 4 C D C 3 N λ C h c I - U A 4 6 C 0 e B B 4 6 C 4 He Be V C 4 6 C H + 5 B D 4 6 C 0 - e N ma 4 OK A 0 v = 0 m/s x kwh 5 m v μ P t g B C R 0 Ω A R = R = 50 Ω R = 50 R = 0 KΩ B P D 50 Ω 0 KΩ Q 5 C t = s P Q 7 m = 400 gm = 60 g t

52 6B 08 R m Ep abcd 0 R g B B B B 50 Hz m L = 04 m d d = ab B = B = B = 0 T m = 0 kg R = 0 Ω kgm/s kgm/s 8 R g = 00 Ω f = kv k = 008 kg/s v = 5 m/s v a = 40 m/s v 3 Ig = ma 3 V 5 V R 0 ~ Ω R 0 ~ 999 Ω R 0 = 000 Ω 0 L = 40 m R R R 0 R d = 300 cm U = V Ω B = 05 T 4 38 m = kg q = n m 0-0 C L n h h F F L g

53 7A Ⅰ Ⅱ 0 8 R R R R 90 G S S Ⅰ 40 P 3 P 4 A S M N B S S M N 4 0 C S M N 3 AO KK D S S M N 9 a A B A B C D C D0 V 0 0 A B C D A 3 B A B C C D 4 v - t A 8 70 B 8 3 V C kg 4 V D 6 V 0 ~ 9999 Ω3 V 0 ~ 3 V V 0 ~ 6 V 08 m/s 5 A 5 00 g 0 m/s A B 3 C 4 D 34 Ω W 6 A M B C D A B C D C D 3 C D 4 C D 6 A 3 B 4 C 34 D 34 O BC EF OA 7 P P P P A O B AB C BA D AB D Ⅱ 70 U - I 5 V BC EF P P P 3 P 3 P P EC P 3 AOF = 30 OP 3 OC m P 3

54 7B 58 AOB cm ab 03 Ω 8 y y A B 6 cm R 0 Ω 30 E = N/C y O 槡 45 OA ab v v 0 = m/s x A x OB OA AB A B cm v v x AB m H = kg 3 60 E = 9 V r = 0 5 Ω R = 5 0 ΩR = 35 Ω R 3 = 60 ΩR 4 = 3 0 Ω C = 0 μ F K a b R 3

55 8A A B Ⅰ Ⅱ Ⅰ 3 A t = s A A 5 m/s 4 0 B t = s C 06 m 獉獉 C t = s D A D t = 08 s E B 8 a MN O C i b c D α β A Bα C D 3 6 Aα< β B c b A S S R P R' P C b c b B U I C R P S S R' P Db c D R x = 4 A B A 5 53 B 05 6 n = 3 d = 3 mm 070 m C 3 D 7 x x B t = 0 Ⅱ A R B R 94 C R 3 D a km/h 0 4 s A B C D O ω g = 0 m/s E A O s 0 A C s C E s f a 050 mm 5 λ= m

56 8B 30 m T 6 m + q v 0 O y + Q ABA B AB 09 m 05 Ω L L 6 V 45 W B r μ abcd b x x 30 A AB L L L E x 60 b A + 4Q AB c A B AB v = 0 sin5πt m/s s AB c b 40 M /4 R m g

57 9A 5 A R Q Q B R Q Q C R 3 Q Q A D S R 3 Q + Q B 0 AB Ⅰ Ⅱ 00 C 90 A B Ⅰ 36 D AB M A M B m A V kg μ = 0 A S B S B v 0 F = 0 N AB L 3 0 f AB V A V B g = 0 m/s A AB Δt A Δt B B C 3 B d 4 f D A 34 C 4 B 3 D a b A B 7 E FG a T 獉獉 E F G a A a A A B B a C b D a B A B C A B D B A Ni β 63 A v E < v F < v G B v E > v F > v G A B 63 A 63 8 Ni 0 - e Cu C G a 63 B 63 8 Ni 0 - e Cu D v F > v G > v E v C 63 8 L d D a S B A 34 B 3 C 4 D 4 R 4 N I N S A A N < N a d Bdv S - R B I d BLv S - R C I L Bdv S - R D I L BLv - R I B N = N a A Ⅱ 64 C N > N a B D N < N a 4 6 C 9 R R R 3 E r D S C C Q Q 34 0

58 9B mm 90 m = kg L = 5 cm d = 0 cm mm 4 R = 05 Ω H = 5 m 獉獉 3 I - I I G I A E = V g = 0 m/s r = Ω B 03 s h 44 A B P ab P cd 50 g g = 98 m/s N/m cm 58 m A B C D E A O L = 73 m 78 B O q = C m = 00 g + q m mg R S 0 A C S C E S f C v c = 89 A m A = 0 kg O C B m B = 0 kg B F F a a a = 30 N A B F A F A B F F m E 0 A θ= 30 g = 0 m/s E 0 E 0 α U m 3 F m g f = 60 5 V 0 Ω G 30 ma 0 Ω 3 A 0 ~ 0 60 A 0 0 Ω4 R 0 ~ 0 Ω A 5 R 0 ~ 000Ω A6 R 3 = 990 Ω 7

59 30A m/s t = 0 Ⅰ Ⅱ 00 a a t = 3 s a 90 獉 Ⅰ 40 A d 4 s B t = 4 s e A B 3 C 34 D C t = 5 s b Ⅱ 60 D 3 s < t < 4 s c V m 6 mm A B 獉獉 A C D B C E = ev A48 ev B43 ev C40 ev D544 ev 3 n = 00 n = 80 u = 0 槡 sin0πtv R = 45 Ω A 50 Hz B A 03 槡 A C A A D V 36 V 4 B c C c D a V 5 mm E F A B β Cγ α β γ D α 4 6 m a b c d e D V m 8 a L b a v b h v h A v = 槡 gh B v = 槡 gh C v = 槡 gh D v = 槡 gh 9 a b c 3 A b a 4 A B C D E 50 Hz m/s A V V B V V C V V V V D V V V V 36 R A E = 0 3 N/C F = N B E = 0 6 N/C F = N C E = 0 3 N/C F = N D E = 0 6 N/C F = N 5 3 α β γ 4 4 V V V 5 V V 0 V V~ 5 V V V

60 30B m = kg A a q = C A l = 0 9 m B I M = kg B s = 005 m B L E = N/C A S m B g = 0 m/s S S μ = 0 50 n n r = N A R g h 6 Ⅰ B y OA Ⅱ y > 0 q y m y v = byb b > 0 x OA x θ

61 3A Ⅰ Ⅱ Ⅰ 獉獉獉 A K B0 735 K C D E r R R S P R A B C R D R 3 t 0 f = kv 0 km/s 40 km/s 0 m F 4 a F v A F A b b a a b B A B A B F C F D F 5 m m L A m > m m m B m > m m m C D L/ 6 O 0 cm 0 6 s A B x m/s O 0 3 s AB φ 03 s E A φ A > φ B E A > E B E B 7 W v 0 A W B C D B v v C v D v AB A B φ A > φ B E A < E B C φ A < φ B E A > E B D φ A < φ B E A < E B G AB C B A F C B F A F = G F = G B F > G F > G C F < G F < G D F > G F = G 3 v 0 v 0 < E B 8 A 3: B 9: C 7: D 8: A W 9 = W B W > W C W A < W D W > W W < W B F 4 MN PQ ab cd 0 B t C ab cd D A 0 t 0 B 0 t 0 A v v C 0 t 0 D t 0 t

62 3B Ⅱ 58 7 O x 8 30 kg T 56 0 T mm 0 / g = 0 m/s mm A B AB = mm D E 505 mm T = 0 s m/s xoy O' y O y 6 A B C A P Q g A 3 4 A 84 M m I

63 3A C D g 0m/s A B 3 0 C D 0 m = 0 kg 7 μ A γ θ= 30 F = B 50 N C X γ A 50 N D X α B 50 N T T C 50 N A D 50 N B v /N C P 8 D 3 A B A f B 4f P P 5f A B A v B v C v D A A 5f B B E r 5f C A f D B R 4f 0 R K 4 A B P R A B E A E B A B εa εb A B 6 O 3 3 v A v B 3 v C t A t B t C A v A > v B > v C t A > t B > t C B v A = v B = v C t A = t B = t C C v A < v B < v C t A > t B > t C D v A > v B > v C t A < t B < t C 7 O A a b b c B b a c a a b 8 Q W D ΔU 5 ~ kg 5 m AΔU = Q + W BΔU = Q - W CΔU = W- Q DΔU = - Q - W A B C N 9 m 3 m/s N E 6 C R D R A E A > E B B E A < E B CεA >εb DεA =εb 3 t s A' B' R = 0 m a = 60 m/s A5 B6 C7 D K K A B C D 4 3 ~ 4 v

64 3 4 3B 8 38 AB l = 83 m M = kg 99 R 0 Ω S S v = m/s 30 V S S 5 t 60 kw μ = 05 m = 0 g 0 V 0 km/h v 0 = 300 m/s v = 50 m/s E r s 3 0 V R P 60 km/h A 08 8 U g R d L m e v 0

65 33A a b d f a A B C D a b 4 0 c A A c B C B c 4 P P P 3 P 4 D r r C a c q 3q 3F D b 4 0 A F B 4F 8 ab b 3 a C4F D S a 3 v t = v 0 + at S = v 0 t + at t b 9 n Ⅰ λ Ⅱ v 0 v t a S λ c Ⅱ n = v = A a B a 0 AB AB 4 m t = 0 n C a D a A B A B t = 0 s AB 4 A B B m m/s A B C m/s m n D 5 A B C D A B C D 6 B A

66 33B q m L sin37 = 0 6 cos37 = 08 3 E p = h = 0 45 m A θ= 30 v 0 = 4 m/s A H + 3 H H + H + 4 MeV 3 H + 4 H He + 0 n + 76 MeV H + 3 H He + 0 n + 33 MeV 3 3 He + 4 H He + H + 83 MeV 4 34 H 4 He 0 n H MeV 8 v 0 0 n u H u H 04 0u t m MM = 3 m L H 306 5u He u He u ctg30 = 73 O O M u = kg C= m/s e = C

67 34A C P g B 槡 R D C 4 g D 4π R A a b c F a 槡 g a b c F F 6 B F 3 a b b c c Δx A F = F = F 3 = F C B F = F F = F 3 = 0 C F = F = 0 F 3 = F D F = F 3 = F F = 0 5 R g R A A 槡 gr gg D A Δx B B Δx E r S S C Δx S 6 AB BD A D AB H m L mbd B 7 B A B C V A A C BC = L m D V A B C 3 D 8 E m q A mg > qe B C 6 O D A 4 x 0 m/s s x = 0 m y x y B A B C A00 40 B C A0 > y > - 4 cm C cm m/s B - 4 cm D O C C < y < 4 cm cm cm g = 0 m/s 9 D4 cm P

68 34B A B 63 B m A = 0 kgm B = 0 kg A 30 m = kg A t = 3 s B θ= 37 a = 5 m/s S = 5 m A A A B g = 0 m/s cos37 = 08 sin37 = 06 AB 4 m = kg θ= 53 F = 0 N S = 5 m F t = 槡 s g = 0 m/s sin53 = 08 cos53 = 06

69 35A B Ⅱ Ⅰ Ⅱ 00 C Ⅲ 90 Ⅰ a x 34 mm 3 36 b x 3 0 m/s t = 0 mm 0 x = 45 m P A B A50 s 05 s B075 s 05 s C D C050 s 075 s D05 s 075 s PP < P 0 P 0 9 m K K O 47 A O L B V 0 t C A O S D B O 3 C A D V 0 B 0 C L L n : n = 3 : S S D U S 4 L U /0 L 3U /5 C C O 4L U / V R V A 3 B 4 R Ω A C / B C / C C D C C 4 D 3 R 50 Ω 5 v 0 t = 0 A B t = 0 v - t C D 6 E r S I U C QR U P a P A U B I C Q D U 7 a b c c xoy O a c b a A Ⅰ D Ⅳ 3L 3U /0 b c v 0 m t v 0 A a b B C mg t D mv 0 Ⅱ 64

70 35B 70 A 3 i S S = 0 A R 0 C B S C S D R P b E R 0 5 V F R 3 V G R 0 3 R 0 6 kω 4 5 V kω R 0R CD CD a b a A b B a m D D q = C B U = 0 3 V B = 00 T R = 0 m D 9 P m B m M 8 L R v M = 0 μ = 0 0 L B B P B f P f = mg f P P B P B P B v 0 = 0 m/s P T = 05 s B P B g = 00 m/s P B P

71 36A Ⅰ Ⅱ 00 6 μ 90 Ⅰ C mg 槡 + μ D mg + μ m 0 V V 3 4 A C8 B5 D0 00 Ω 4 A 3 B 3 C 4 D 4 A S M A B C D 3 A B P Q 38 A E 3 V Ω V 30 V 30 kω B C D 4 L A P Q C P Q B 4 B = B 0 + KtK > 0 t = 0 P Q t C D P A B t KL C C 4π KL D C 4π 5 3 kg kg 4 m/s 4 m/s A B C D m A μ mg B mg 7 m 8 S M S' P S' SM N B S M C S' D S' 9 PQ 0 E = - 36 ev E k = 5 ev A 09 ev B 09 ev C 09 ev D 5 ev Ⅱ n = C = V 3 V 3 kω V 3 5 V 5 kω R Ω 0 Ω R 50 Ω S R U U' r g =

72 36B θ= 30 L = 0 m 73 B = 0 5 T B R = 0 Ω m = 0 0 kg ab E L O' 48 m g 0 m/s D S S O' O x h v a h v ab m q v x R R S a C = F 4 s O' S 50 B = 0 5 T M = kg v 0 = 4 m/s m = 0 kg q = 0 C g 0 m/s 3

73 37A A a 4 a b B a b C b C D Ⅱ 68 D 4 6 Ⅰ Ⅱ v 0 90 f = kv R v 0 Ⅰ 3 0 km/h 40 km/h A 3: B 9: C 7: D 8: 6 x 0 R 0 = 00 Ω R = A 00 m/s 00 Ω B C D P A B A B E α m q E b 00 s a 4 m 3 50 Hz m 4 0 m : m = : v : v = : A 3 B 3 C 4 D 4 A 7 U M m B s C s 3 N 05 kg M 6 m/s mm 0 Ω D A 3 P f B C 3 N A 06 A 05 Ω B 3 A 0 Ω A f D 6 N C 3 V 6 kω B f = 0 8 kg P D 5 V 30 kω C f O x P = 4槡 xkgm s - E 0 ~ kω 05 A D O f 獉獉 A m/s F 0 ~ 0 Ω A B s 8 N s 0 G 6 V

74 37B H 3 m A = 39 kg m B = 0 kg m = 008 kg v 0 = 00 m/s E m q A A AB CD C D 4 58 A B A B 64 AB CD AB UCD S CD L O U I A B C μ = 050 g = 0 m/s θ= 37 m = 60 kg sin37 = 06 cos37 = 08 A C s = 50 m

75 38A C sinθ D c 3 c Ⅰ Ⅱ 00 sinθ 90 Ⅰ s P 4 A + y 0 C 4 A D Bα 8 R R R 3 C E r D A I V UR 3 b a 獉獉獉 A A B B A I U C C B I U D D 3 R C I U D I U 38 9 P Q 00 Ω O A B E A E B φ A φ B 3000 Ω A R A B B C R a b A 3 槡 V B 00 Hz C 00 rad /s D R 484 J A I = 0W= mv 0 B I = mv 0 W= mv 0 6 θ 獉獉獉 A sinθ C I = mv 0 W= 0 D I = mv 0 W= mv 0 B sinθ 7 t = 0 P 0 x 0 m/s t = 0 7 B + y - y A E A E B φ A φb Ⅱ 60 B E A E B φ A φb 750 μ A 3 V D R b a C E A E B φ A φb Ω 4 D E A E B φ A φb 3 V 3 V V V A 0 m v 0 E kω R S B C I D W 5 R = 00 Ω mm Ω

76 38B m q L R T 0 T U B ab m h R cd OO' t ab v B g ab A B m A = 30 kg m B = 0 kg μ = 0 0 A B l = 5 cm k = 500 N/m F F A B F = 0 N F = 0 N g 0 m/s AB A B AB

77 3 AB r 0 r > r 0 r r < r 0 r 3 4 T = π L J 槡 g B N L 槡 g S = vt L = NTv = π Nv 槡 g 6 3 n = sini sinr 3 C n = n = ΔE = A A - = 3A 4 T = mg/cosθ r = arcsin sini n = arcsin = 30 F = mg tanθ n = 4 E k = 3A 4 +- A = 4 6 A i = r = 30 a = F / m = g tanθ C sinc = / n = / 槡 4D T y = Tcosθ= mg C = 45 i < C B F = - kx l = l = l 3 = l 4 D 0 N =M + mg B C T x = T sinθ= mg tanθ C A F 5C ΣF = F - T x - μ N = Ma C F = Ma + T x + μ N =M + m μ B θ g r = arcsinn sin i = 45 6 BC K U E = U d α= 30 C = ε s C 4πkd U 4 E = Blv Q = CU Q B K Q E m = NBSω = NBωL d C = ε s 4πkd U U = Q C B 60 e = E C m cos60 = N BωL / F = qe = qu L D 4 E = E m / 槡 t 3 a 3 b I U R UR c IR - U 67 Ω α E = mv = P m = = J M v mv = Mv E = Mv = me M 7 AD I = E/R + r L = ml at t = 槡 qu 8 D W= EIT = π N B ω L 4 /R + r ω=π N B ωl 4 /R + r V N N = nv= nl A 9 BD a b a b c W = NqU/ 5 I = E /R + r= NΔΦ 0 AC ΔtR + r = nalqu/ NBS sin60, Q = I Δt = = 槡 3 NBL 3 x R + r R + r nal - x Δx y ABC E K E K = nal - x mv / = nal - x qxu/ L y A B y L - x x = - x - Lx + L L + AC y 4 4 = L 4 - x - L v Ra 86 Rn + 4 He 4 x = L α α MN x = L g K 3 Δx 6 槡 y - y α /4 R = OA= 0 m α P = mv = qbr = = kgm/s t x = at ml / t = 槡 qu E + E = + m M E = J =

78 8 7 B A W=F - F 4S = a = F - Mg C Q = CU R M 4 mv 0 3 = = mgcr m/s BL F - 4 F R r 6 FS = 0 m/s v 0 = 4S = 3 槡 m 槡 R R C m S B A mv 0 = mv 3 t = 4 槡 a v = 6 FS ΔE = 3 = 槡 m 槡 s mv - v + mgh 0 A B = 40 s = ρvv - v + ρ VgH E pm = FS + mv = 5 m N FS ΔE = 0%ΔE = cmδt F F = N - mg F A B O v = 00 F = N - mg = ma mv - v + mgh E pm = 5FS mv v = N = mg + ma Δ=00v 槡 - v + 00gH / c m = N O A B B = N B O P x = 80% 75%ΔE = 060 ρ V v - v + gh N - 4 Fx = 0 - mv x = 5S =030v - v 4 5 r g M m + 060gH ρ V 3 m F m v P = m gh = 80% 75% W F 5S - F 4S 4 = 0 4 W g = v h 5%P A B I F = mω = I = r 槡 4 = A= 0 A R 槡 6 = m 4 π r I T = P 04 = A= 50 A U 40 B AD 3 A 4 D 5 D 6 AB 7 B 8 AC 9 BD 0 B m 4 π r = mg r = gt ~ 5 T 4π r = v T A 8hπ B - - F = G Mm = m 4 π r r T 0 v T 4 M = 3 8Gπ 4 h 3 3 Y 5 ab R M P 4-5 u cd u ef 0 g F = F - G a = F / M ab qu = mv 3 R = mv qb v F E I Um R = 槡 qb R F = mg F = BIL 00 4 I = E = 槡 0 0 m= 05 m E = BLv 04 R PQ = 3 m= 6R R = R + r v = mgr + r 3 B L 4 3 PQ = nrn 3 R D nr = 3 m R 075 m E U R = R + r R = BLvR R + r = mgr BL = I n n I = R T T = πm qb = π s = π 0-3 s T P n n = R' = 075 m

79 R' = mv' / qb qu max = mv' K U max = 450 V n = 3 K C 7 C C qe = 8 6 m L = 000 mm L = 938 mm x = 0300 mm m v v mv 0 = mv + m v x 7 = 4700 mm λ= dx 7 - x qe 6L - L C v = 槡 m 0 A D v = v r = m v 0 4 qb Rcot30 = m v 3 qb B = me R槡 3q 4 A C a = qe d L md t f d 3 08 W d = a t v A d C t = 槡 a = d m 槡 qe 3 e = 3 sin34 tv e =εmaxsinωt t = T fd =ΔE = E K - E K = mv 0 - mv m v =π m qb 0 = 5 6 mv 0 εmax = 3 V 3m L = vt ε= εmax 槡 = 3 B t =πr 槡 qe V= 0 V 槡 m s =L + d mv 0 - mv = ft f = ω t = t + t = π = 34 槡 34 Hz = 50 Hz qe 3 槡 d + 槡 π R 3 8 AB v A v B mv 0 - mv = fl + d εmax = NBωS B = εmax NωS = T = 05 T 4 m A v A - m B v B = 0 m Av A + m Bv B = E p v = ± 槡 0 4 v 0 v = - 槡 0 4 v 0 3 3π 4 ωt = 3 π v A = 6 m/s v B = m/s 4 v v 0 > v > 0 v 0 e = 3 sin 3 A B C π V= πV= 0 V 4 5 v 0 ~ m C v =m A + m B + m C v v = m/s 3 4 f = mω r = 0 N= 6 N C B B C v' m B v B - m C v C =m B + m C v' v' = 4 m/s C D X kmg = mω kg mr 3 ωm = = 5 rad/s 槡 r 4 E' P = ΔE = m + m - m C D m Av A + m B + m C v' - m A + m B + m C v = 50 J AC 5 v mg = k S 0 v 4 v Mg = k Sv m A C B D M = S 0 v AD Sv 3 BD A B 4 AB K a A v = 60 m/s 4 B BC C K 6 5 s U 5 = 0 V A 獉獉 D E 5 BD 5 = U 5 R R D + r 4 C AB B D E 5 = B L v 5 3 v 5 = 5 m/s 4 I < I C 6 BD R D B D 5 B I = E U = E - Ir 7 C tg = V y = Eql E = B L v R + r R > R I < I U > U C 5 V 0 mv 0 4 v 5 = at 5 a = v EQ = UQ + IrQ EQ R UQ 5 = 05 m/s 8 A A P t 6 5 IrQ B AC A 4 s v 4 = at 4 = m/s 7 R r D 9 D S S m m G m 4 s I = B L v 4 m = 4 π m r T r m = 4 π R + r = 04 A 6 AB λ= h 8 p = h mv = h h = 槡 me K 槡 meu r r GT D F - BIL = ma F = BIL + ma = 009 N 9 7 D S 0 K 0 C n = 3 n = n = n = 4 s P 4 = F v 4 = 08 W D 3

80 C D Ⅱ 6 n = 4 S' = πrh E 4 h = r - cosα 9 0 AC T = t - t t P A B v = s/ t λ= vt = st - t / t C t OP = kλ+ λ D 4 I max = 06 A R ~ ~ U E r = E - U 0 I 0 34 B C t h BC = S sin37 = gt 3 S cos37 = v B t 3 v B = 0 m/s AB mgh AB + W f = m v B W f = J J 44 mv = hv - W 8 A 6 n = 4 A S =πl + r E 4 = 88 ev+ E =88-04eV= - 6 ev n = 4 n = 3 hc - S =πd λw ΔE ΔΕmin = E 4 - E 3 = eva B 槡 λeu + r 55 r n = 4 ΔE ΔE max = E 4 - E = 88 ev R cosα= 槡 R - r R G Mm = m 4 π R 3 R T G x = mg sinθ cos45 = 槡 N 40 f = μ mg cosθ= 槡 N 40 L = a 0 t a 0 = 5 m/s F = ma 0 = 5 N F' = F = 5 N f = μ M + m g = 05 N a 0 F' > f a a v v v s v = c λ v = hc - λw 槡 λm a t + a t = L F' - μ M + m g = Ma A B F = F' = ma A v = a t v = a t t L a = eu mv - Mv =M + m v 3 md - μ M + m gs = 0 - M + m d = v at L = vt s = 0 m 3 86 v t 珔 E = Δt ΔΦ = B ΔS ΔS = t L 珔 珔 E F = B L r - 珔 F t = 0 - mv v = m/s t' = L v E =B - kt' Lv E = S Δ B Δt = L k M = 4 πr 3 ρ S = 4πr 3 I = E + E r v = s = t λ T F = F =B - kt' IL /3 S - S' 644 B4 = - 3π F = 03 N S ( G ρ T ) 3 槡 = + = 64 mm= 64 cm 65 c B BC R hv = E - E 408 ev 48 4 ev 5 0 ev G = mg sinθ= 005 N R min = 5 06 Ω BC = 5 Ω G x 5 A BD AB a = Eq m E A B x f = G x U AB q = mv t - mv 0 E y q C D qe = qvb + G sin45 3 E = 6 N/C AC A B 4 C 0 C 4 A hv = mv + W

81 A n = 槡 35 8 B C D 44 sinc = n = 槡, C = 45 D v A = v 0 /cos45 = 槡 v 0 5 C C P A D θ= 90 + C = 35 6 B a d c c d, α = 90 - θ= Eeh = m va - m v 0 = 5 A B a d, h = m v 0 c d CD α= 5 Ee F - x α> 5 3 P A t = v y α> 5 a = m v 0 Ee 7 A A AC D T = πm Be t = 3 4 T = 3 πm Be θ' = 90 - C = 45 D P t 3 = 槡 h 槡 m v = 0 = m v 0 v A Ee 8 BC mv 0 = Mv + mv mm A, α = 90 - θ' = 675 槡 v 0 Ee m M = v B Av - t a = v 0 - v μ g = v 0 - v α< 675, t = t + t + t 3 = 3m v 0 Ee + 3 πm Be t μ C A B 5 <α< AB mgr = mv, v = 槡 gr A A 55 R C D mv = mv', v' = v/ v - t F + f = mg sinθ N = mg cosθ F = BIL 3 I = E mv - m v' = fr, f = mg/ 9 D P Q R S D R 4 f = μ N 5 fl - R= mv', L = 3 R BEL R μ mg cosθ= mg sinθ 6 3 E P mgh = mv', h = R/4 0 CD p A f < f λ >λ R = 48 Ω E v' v" A + A p D C R F = mg sinθ+ f N = mg S cosθ mv' = mv", v" = v' = v 4 8 a = S F = BIL I = E f = - S R μ N mv' - m v" = fs, S = R/4 4 m 4T BEL BC S, = mg sinθ+ F = mg - S - S F = mg - S + S m R μ mg cosθ 3 Q fs = 4T 3T S + S 0 R = 6 Ω mv", S = R/8, 6 Ω R 48 Ω, Q S = S + S = R/4 + R/8 = 3R/ ΔB = = 050T/S CD 4 Δt A D 4 E = n ΔΦ Δt = nsδ B = = 0V Δt 3 D 3 4 B hγ= W+ E km t = 03 s ab f = n BIL = n BIE R = = 3N T = 00s m ω = π = 00πrad/s T F E m = n B mω S = π 00 F F - mg = ma 5, mg = + a = 7 = 80πV3 g n ω = E = E m / 槡 = 40槡 πv πn 60 min Q = E t/ R = 40槡 π 60/5 = J 7mg = m Rω A C D D P 4 A 3 BD A B C D 4 AD 5 AC 6 C U e = mv 0 P A h = U e md t = U el mdv 0

82 h = L h C t = T U 4dU U 4 t = T t = 3T t = T 4 E = BD v = s = t T λ = 0 + n λ n = 3 t = T 0 t = 3T 4 E 3 = 4 Φ0 T 6 04 T = s 0 + n n = 0 3 I 3 = 4 Φ0 TR 7 T sv m/sa t = 0 t = T v = s = n λ+λ- 0 = t 0 T λ n = 0 3 Q = I Rt + I 3 Rt 3 8 Q = 6 Φ 0 RT 9 04 T = s n + 8 n = Δt CO T LL = vδt 9 sv 9 m/sc BD ΔN = 6 nlsn A x = 6r 8 x = 06 m 9 CO N = Δ N N = Δt 6 nsn Av C l = k L s = k L T = s v = π槡 l FΔt =mv ΔN 4 8 g v = k gl μ π槡 = N Am 5 F = 3 n nn + μ Sv 6 W= μ mgl + μ mg l + + μ mgnl = μ mgl k 槡 L C CO F' = F = 3 n μ Sv 7 ΔE K = E K0 - W ΔE K = nn + 9 A λ= h/ p = h/mc λ A mv 0 - μ mgl 3 0 AD E' m 6 i i n - v v i ' E' = F m = G Mm R m = G M = g R 4 A D G F N N =m + m g - ρ gv i + mv i ' = imv i 4 ΔE Ki E Ki N v ΔE Ki imv i - i + mv' i = E 0 Ki i n - 5 v x = v imv i m g + kv y = ρ gv 3 C 4 Δ E Ki = v m = v x + v E 槡 y 4 Ki i + i n - 6 R 0 R = 0 I E R ma R 0 30 Ω C v m = v + ρgv- m 3 E K0 = mv 0 / E K = E K0 - g μ mgl 7 k 5 槡 E K ' = E K - ΔE K = E K - E K / = E K0 / - μ mgl/ 8 E = 0 V 4 r = 46 ± Ω E K = E K ' - μ mg l = E K0 / - 5 μ mgl/ U E = U + R 0 + R r U = E + r E E K ' = E K - ΔE K = E K0 /3-5 μ mgl/3 R 0 + R E K3 = E K ' - μ 3mg l = E K0 /3-4 μ mgl/3 b = E = 0 7 x E 3 E = 0 V K3 ' = E K3 - ΔE K3 = E K0 /4-7 μ mgl/ k = r E K0 /4-7 μ mgl/ = μ 4mg l 9 μ = 05 0 = = 45 E Ω/V r = 45 a 0 - Ω r qvb = m v r 90 E r r = 0 m 7 x x = r 3 E 3 I I = r + R I = 08 A x = 0 m 4 BD A B 3 a C q = CIR 3 3 q = C 4 T 0 D t = 0 t = T 4 T 0 = πm qb 5 T 0 = π 0-4 s 6 E = Δt ΔΦ I = E R t = 0 t = π 0-4 s t = π 0-4 s t = 4 π 0-4 AD s AD q = I t 3 π q = Φ0 R 4 b 6 b 3 B S S

83 4 A 4 α D 3 S A 3 α A E = IR' + R + r R' = 3 Ω 44 cd 5 AC T = π槡 L g A AB Q = m v 0 - m v = J = 5 J 4 AB C cd ab C AB E = Blv = V= 0 V 6 C C I = E R = 0 A= 0 A 05 7 A 3 4 cd F = BIl = N= 0 N 3 A 8 BC m m 0 mg N B 3 ab cd m v =m + m v C v = m v = 04 5 m/s = 4 m/s m A + m m 4 9 D l 54 ab L L = R + R cosθ R = + cosθ D i - t U - t 珋 p - t v = qbr m = qbl m + cosθ 0 BC a b B ab PQ R = L cosθ b ab ab f v f = ma f C = qbr m = qbl mcosθ v = cos θ v + cosθ ab ab f = μ N qe = qbv B ab qb L 0 40 m/s E = 3 6 m/s 3 m + cosθ AD mg - M + m a D θ 4 Mg GMm 66 = mg R g = M R = g M R 9 g = 4 9 g = 40 9 m/s m v 0 5 Ω 3 U - U I - I - R 0 3 v 0 = 65 m/s v v 7 A A v = v 0 + g h v = g h F - mg t = mv - - mv 8 BC P V 3 P = P - P SC = 6 - = 4 W F = V R N P I = = A 3 槡 r E = P = 6 V= 8 V I U = E - Ir = 8 - = 6 V I 3 = U = 6 R 3 6 A= A I = I - I 3 = A U = U - I R = 4 V R = U = 4 I Ω cd a = F m = 0 0 m/s = m/s mv 0 + mg h - mg h = 0 mv 0 + mg h 4 76 F t L a = μ g = 4 m/s a =F - μ mg / M = 6 m/s L = a t / - a t / =6-4 t / L = t v = a t = 4t v = a t = 6t 3 F mv + Mv =M + m v v = 8t/ C a b 0 F AB μ mgl - L = Mv / + mv / - m + M v / t = s 88 t = 0 t = t 0 v - t 7 v y = eu 0 md t 0 v y = eu 0 md t 0 = eu 0 t 0 md s ymax = v yt 0 + v y t 0 = 3v y t 0 = 3eU 0 t 0 md = d s ymin = v yt 0 + v y t 0 = 5v y t 0 = 3eU 0 t 0 md = d 4 s ymax = d = t 0 6eU 0 槡 m s ymin = d 4 = t 0 4 d = 6eU 0 槡 m t 0 6eU 0 槡 m v y = eu 0 md t 0 = eu 0 6m v y = eu 0 md t 0 = eu 0 3m v 0 = eu 0 m E K max E K min = mv 0 + mv y mv 0 + = eu 0 + eu 0 /3 eu 0 + eu 0 / = 6 3 m y 4 8 A 3 BD B A C D 4 AB AB 5 C ab 6AD A 9 AD A D

84 8 BD B 76 f = μ mg 4 B C C D B C V' BC B C B C m B V' B =m B + m C V' BC 3 c c E' 4 KB = E 0 = P' B V' BC = E 0 m 7m a = f m = μ mg m = μ g f BC E' KBC = m B + m C V' BC = 3mE 0 7m = E 0 8 v 553 cm 06 m/s 765 m/s 4 3 S PQ RQ 3 4 S PR - v - v S PQ 3 S RQ LgS RQ 3 S RQ 4 3 s = vt = v μ g 5 s - s = L L = v μ g 3 86 A B C C 4 B C μ AC μ 34 4 λ= m T = λ v t = 8 s = 4 T 4 3S Q = N 4A = 4 4 = 05 s Q + 0 cm 40 = 70cm 44 F = G Mm 5 G Mm' R R = m' π R T 5 t = v a = v μ g s = at 3s = μgv μ g μ g 3 F 3 T 4 M = 4, L A = L 3 L B = L 3 6Gπ 4 m 3 55 t = L 3 A B C A C v 0 A B E KA E KB, f A f B f A = f B = v = μ mg μ mg = f A = f ' A f B = f ' B, A B, A B A B v t = 0 s = v t t - L A L B = - - a At = μ g a Bt μ g = 4 C 4 M kg C 3 BD kg = N M/ ρ m 3 = N n A m 3 n C at = - L A + L B = L at B C L" B - μ mg L" B = E' KBC - E' KB = E E 0, L" B = 36 L <L - L 4 = L 4 E, C V' C = V' BC = 0 槡 7 m, B C 4 9 C AD 4 AC B 5 CD E 6 C 7 AD 8 BC nt = 04 sn = 3 T max = 04 s B v = λ = 0n m/sn = T 3 v min = 0 m/sa y = at a = qu dm y = qul dmv 0 W= qey = q U qul = q U L 4 d dmv 0 md v 0 q U L 3 md v I = ku 3 I U = 槡 k 3 06 = = V 槡 00 E = U + IR + Ir 3 r = E - U - IR I = E - U - R I = = Ω 3P = IU = 06 = 03 W P = I R = 06 4 = 06 W P r = I r = 06 = 006 W { E KA + E KB = E 0 P A = P B E KA = P A m E KB = P B m = P B 4m E KA = 3 E 0 E KB = 3 E 0 L A - μ mg L A = 0 - B - μ mgl B = - 3 E 0 μ mg L = E 0 - μ mg L = E' KA - E KA E' KA = E KA - μ mg L = E 0 6 L A L B A C =, L' A = L' B A C B L' B = L 4 B - μ mg L 4 = E' KB - E KB = E' KB - L' A = L L' B = L 4 3 E 0, E' KB = E 0 3 E 0 Δt = 0 s = n T n = 3 n C 0 ~ 6 m D 9 B x = Asin π t T v = x' = πa T cos π t = v T 0 cos π t T A C C E' KA B i = BLv 0 E' KB R cos π t = 4 πbla T RT cos π t T 8 W= Q P = P = I R P = BLv 0 槡 R R = B L v 0 = 4 π B L A R RT 0 D P Q

85 P Q, m = 50 kg 3 3 I = E/ R E = ΔΦ = Δt Bl Δt Δt = s = s t = 75 s ab, H = M g ab I = 05 A Δ t = 5 m 3 b a PM < QN D 4 8 Av 0 = 6 m/s B 0 N a = g = 0 m/s v F m = 500 N m A v 0 =m A + m B v v = 4 m/s F m - mg = ma m H L 3 m a m = F ΔE = m Av 0 - m A + m B v = 36-4 = J m - g = 40 m/s 3 m BS H 槡 gh 4 6 a = qe 50 V 075 Ω CE4 m N A B N A 3 07 ± 00 W 085 ~ 088 V ~ 3 W6 d = E' A = at 4 = 6 J >ΔE B M A M y O A M y = v 0 t 3 i A v i E Ai A v i ' 3y = 0069m E Ai ' x v x = qe t = 60 0 槡 3 m 00 v' i = 3 v i E' Ai = 4 9 E Ai = 8槡 3m/s E' y θ tanθ= v Bi = E' Ai = 9 E Ai i + M x 8 = 槡 3 = v y 8 槡 3, θ= 60 W fi = E Ai - E' Ai - E' Bi = 3 E Ai < E' Ai α= θ= 0 T = πm qb ΔE i = W f +ΔE Bi + = t = T = 3 T = π 3 E Ai + 9 E Ai = 8 9 E Ai < E Ai = 006s 0 M M E 3 y 3 3 d 06 V A 07 W t = 槡 qe/ m = 006 槡 60 0 = 槡 3 s 00 ΔE i = E fi +ΔE Bi + = 3 E Ai + 9 E Ai = 8 9 E Ai E = 300 V r = 40 Ω U - I E Ai + = 085 V 4 A W 9 E Ai 3 u = 0 槡 sin 00πt V U = 0 V U = n U U n = n t 3 = t = 槡 3 s 00 W' fi = /3 8/9 Δ E i = 3 4 Δ E i U n = 00 V 4 I = P = 50 T = t + t + t 3 = 槡 π ΔE + 槡 3 Bi + = 4 Δ E i = 0043 s 00 A 4 A U 7 T P = I R = 066 W 4 T = T 0 + Δ W T f = 3 Δt t = 3 + 5t 4 E A0 = = 7 J μ mgs = W f s = 7 = 35 m 4 c t = 槡 4R/ g = 03 s A v 0 = 6 m/s B 0 v c = s ab N v m A v 0 =m A + m B v v = 4 m/s = 4 m/s t T - f - B 0 Il = ma I = B 0 lv/ R 3 v = at 4 b c 34 T = f + ma + B 0 l a ΔE = mv c + mgh = R t 5 m Av 0 - m A + m B v = 36-4 = J N A B N mv b 3 v b = 5 m/s 5 a = 4 m/s f = N a b μ ab E' Ai = 4 = 6 J >ΔE - μ mgs = mv b - mv 0 3 μ = v 0 - v b = I ab B M A M = 046 gs 4 ab F f m A M 5 T = 95 s - 67 s = 8 s F = BIl = f m B = B 0 + Δ B i A v t =05 + 0tT i B A v i ' mg = F 0 = 500 N Δt M A v i + 9

86 m A v i =m A + m B v i ', v' i = 3 v i E' Ai = 4 9 E Ai A8 C P = P + P 3 = W= 4 W U = U U n n = V ΔE = m Av i - m ' A + m B v i I = P = A P U R = I R = 4 3 W= W C B C W A M - W= R mv C ΔE = m ' Av i - m ' A + m B v i 9 A 3W = W+ 8 mg t 4 ΔE = m ' Av i - m Av i + v i + = 3 v 44 i A A M /3 AB M 3B M i + v i ' = 3 v i B M ΔE B = m Bv 0 + m B 3 v 0 + m B 3 v + m B 3 v + m B 3 v 3 + = m Bv 0 + m B 3 v 0 + m B 3 3 v m B 3 3 v m B v 0 + = 7 J ΔE = m A + m B v 0 - ΔE B = 7 J ΔE = μ mgδs Δs = 35 m 0 D D BD BD C 3 A hv = E - E A 4 AD r 3 r r AD F - γ E - γ E A > E B φ A < φ B 0D AB CD AB CD D U = Blv v t B 3 6 B 3 C 5 A b = 0 40A ~ 04 k = 60 N A - m - 56 ~ 64 B A E 3 I = R + LR 0 + r I = R + LR 0 + r = + LR 0 + r = E R 0 6 L + r H 6 6 CD λ= 0 m t = 3T 08 + nt T = n I - L b = 3 + r 6 k = R FH = 槡 HM - MF = d 槡 - d = 槡 3 d 0 6 QM = PF = - 槡 3d = m3 040 = v = n V = 5 + CD 3 + r 6 r = 040 Ω 08 ~ 05 Ω QN = d = m PH = d = 0 m3 AP P 0 ~ 0m PH 6 = R 0 6 R 0 = 960 Ω 936 ~ 984 Ω B Q Q m~ 0 - m MN 76 E r 7 AC v - t AB S R R t = t = t v c = g t 7 6 mj i = ADG = mj DB = AB ctg 37 = 4 = 6 m 3 FE = FC - EC = 5 - DB = 5-6 = 09 m, tg EDF = EF DE = 09 = 3, r = 4 EDF = 37 n = sin i sin r 0 n = sin 53 sin 37 = = 4 3 = m M GMm = m π H + R3 T = t R + H T N H + R 3 4πN M = 4 Gt ρ = M V = M = 4 3 π R 3 3πN H + R 3 4 Gt R 3 t = s 3 c 66 PQ evb = m v r r m = mv m Be = 0 - m = d 4 d d

87 , U C = ER + R R + R + r = E + r ml R T = t = 槡 ' x > R x R x R ' x 6 QE mg = U 獉獉 Cq U d C = V 03 4 S R AC B O B ER, U' C = = 4E R R r 3 r 0 mgs B = μ MgS B + m + M + R R + R + r v B 3 3 BCD mg - U' 3 C Cq μ = m m + M - v B M MgS = ma U' d C = 05 V B 4 4 B t = T = 3T T = π, 34E = V r = 0 Ω 槡 L g μ = E = BLv v = E 5 A x y = 5 m/s BL 5 6 BD F A F = m v 3 r 3 S I = E R + r B F + F N = Mg 3 A v = m/s 3 E I = = 05 A R R 6 A ω = v = 0 rad/s 3 r 3 + R R + R + r 7 B n = 4 n = E 4 - > E 3 - > E - > E 4 - > E 3 - > E 4-3 7E Ⅰ Ⅱ MN, P F = IE = 0 5 = 0 5 W E = B 0 av + B 0 av = 3B 0 av 4 t = a/ v BC a b b a 86 A AB v 0 Q = E a a = F m = QE m L = b b a R t Q = 9B 0 a 3 v 4 R at GMm 9 B = mv R + h R + h GM = Ⅰ Ⅱ MN gr ΔΦ = a B 0 + a B 0 = 3a B 0 3 ml v 0 = at 3 t = 槡 QE 4 E k = m gr R + h = R mgr + h ( R + h ) < mgr + h E = ΔΦ t t = a/ v 3 Q = E R t 4 3 A B A B v A v B 0 BD F A B mv 0 + mv A + mv B 5 3 Q = 9B 0 a 3 v 4 F f f < F f = F R mv 0 = mv A + a = 0 f > F C D 54 mv B 6 4 r sini sinr = n QEL 3456v A = 0 7 v B = v 0 = 槡 m 8 sinr = sini = 05, r = 30 n 3 B A FND = 30 S A = S B at = v 0 t t = v, DNB = = 60 0 v a A = at = v 0 BDN = = 45 mv A + mv B = mv A + mv, BC i = = 45 B mv A + mv B = mv A + mv B v A = v 0 v B = v 0 B A 3 S A3 = S B3 v A t 3 = at 3 = v B t 3 t 3 = v 0 a I r + R I 0 - r 4 T = v I = E 0 a = t Lm r + R = 槡 I > I R x > R 0 QE E E I = I B B A v 0 r + R = R 0 r + R x x t 0 B L A 3 t v 0 B E r 0 I = I r 0 + r + R = 0 B A B R ' x = I r I 0 + r + R 0 - r - r 0 = I r + R I 0 - r + I E r 0 + r + R ' x I - r 0 C = arcsin = arcsin0667 < 45 n BC CDE = 80 - BDN - i = 45, DEC = = 90 DE AC 66 MN v v mv = mgh 3 mv = mgh 3 I + F f t = mv 3 I - F f t = mv 4 I = I + I 5

88 5 B4 I = m 槡 gh + 槡 gh+ F f t - t 4 76 r = R U A B B - U 5 U V A B v v U V m A + m B v 0 + E 0 = m Av + 3 MN AC m Bv 3 E = B rv m A + m B v 0 = m A v + m B v 3 R =L + 槡 LR 0 MN I = E v = 3 m/s v' = m/s R 3 A I = 04A4 A B v' v' N M m A + m B v 0 + E 0 = m Av' + MN m Bv' 3 3 F A = B ri = 0N5 4 T' = π R + r Rg 槡 R + r g 5 m A + m B v 0 = m A v' + m B v' 4 3 F A AC t = T' =π R + r 4Rg 槡 R + r g 6 4 N 7 v' = 4 m/s v' = 0 M 4 v x 0 < x A 4 m/s B 3 m/s 88 Q M MQ 3 L = 3L QP mv 0 = 3mv gt T = 槡 g mv 0 = 3mv + μ mgx i = 60 v 0 = g 3 L v 0 = 槡 3gL n = sini x > l sinγ 3 x 0 < x l v v a b Ⅰmv 0 = mv v = v 0 3 sinγ= v 0 γ= 30 mv 0 = mv + mv 3 Ⅰ ⅠT P Ⅰ AS' Q AQ = 槡 3 Ⅰ mv 0 = mv + mv + μ mgl + x4 AMQ AM = 槡 3 AQ 3 P v = v 4 mv 0 = mv 0 ' + mv 5 S' M = AM - AS = cm4 4 Ⅰ a N S' N NS' = AS = cm5 mv 0 = mv 0 ' + mv + μ mgl 6 a =- v - v / T 34 a = - g 5 5 Ⅰ c P v Ⅱ f = m/s m- v + mv 0 = 3mv 3 v 3 = 0 6 F s + F s - fs = 0 { { v = v = m/s 3 m/s mg - q U L = 0 mg - q U v = 5 m/s L = ma s U = 4U 7 = s = s = 8 m f = 5N 6 v = a t 0 s = v t + B ACD 3 D 4 BC 5 C 6 A 7 D 8 C 9 D 0 B a t 瑏瑡 t = s U 0 m~ m F > f v v v = Ⅱ 0 a q U L - 3mg = 3ma a = a = F 3 m/s v = 5 m/s 6 - f 3 g m 3 a = 5m/s 4 v v 4 x = 05 m 7 8 l m~ 3 m F < f Ⅱ d t a t + gt = 3 a = F - f v L m 5 a = - 05m/s 6 = 5 m/s = 083 m/s PQ 3 m~ 8 m F = 0 Ⅱ S = a t = 3 L 8 a = - f m = - 5m/s 7 d Ⅱ L/8 5 s v' 0 m ~ m t Ⅰ B m~ 3 m t s = at 8 t = 4s9 5 s F t + F 5-4- f 5 = p' - 0 瑏瑢 p' = kgm/s 瑏瑣 6 獉獉 T G Mm = m π r r T 3 r 3 = GM T 4π T' r + R 3 = r3 = GM T' T 4π 3 mg = G Mm 4 3 Bev = m v r R r m = mv m eb

89 r m = 0 - m= d 3 A H B M B Q N v' F' P 0 = F' v' d A H B MN A F = kmg F' - F = ma 3 PH 3 MFH FH = 槡 HM - MF = 槡 3 d 4 QM = PF = - 槡 3 d = m 5 QN = d = 0 - m 6 PH = d = 0 - m 7 B Q Q AP P 0 ~ 0 - m P Q r = mv eb 8 rsinθ= d 9 78 vsinθ= v m/s sinθ= 4 θmin = arcsin 4 v θmax = π v min = m/s θ vsinθ= θ arcsin 4 π v m/s m/s m~ 0 - m F = 3 n μ Av μ = mn A CO 3 3 BC B 3 D 4 BD 5 B 6 C 7 B 8 BD 9 AB 0 BC 8 s - s 槡 a 4 k = P 0 = 0094 mgv m a = 089 m/s 43 CO Δt, ρ = F A = 3 n μ v 3 t = ntt = πm qb t = π me m 3 BUq Ra 86 R n + 4 He 3 α MN v m α /4 R = 0 m E m v R = qb m = mv = qbr = kgm/s mv m s = nd = E md 3 Uq α E = s = mv = J v mt t = d 槡 me m Uq mv = Mv' m v m E = Mv' = me R = qv mb B = 槡 me m 3 Rq M t = t E + E = + m + t = 槡 me m M E qu π R + d 4 = J 66 A B F a = a = F 3 t m m 0 = 5 s a = a = F m = 9 - t 0 m = 4 m/s a ' = F ' m A B v m m B v =m A + m B v 3 v = B v m A + m B F a = m A + m B B s v 3 v 3 = v + a s - l3 ΔN = 6 nav l = 05 m 3 ΔtN A N A 4 87 FΔt =mvδn 3 n T E m n = E m qu 4 C r < r 0 r r > r 0 r CD = 9 - t BC 4 AD = 0 m 5 D a ' = F ' = 3 + t s v = 6 m/s 0 75 s m m v 45 m/s v - v = at s a a 3 a = v - v - 45 m/s = = m/s t 05 s T = kmk = S S U S S U E = U r = U - U R U 3 Δv 4 v BA = 6 m/s l B a = F m B P 0 = Fv m B l v t = v 0 + as F = F k F = kmg v = F l 槡 m B 3 珋 v T = v T/ a = v - v t 6 A E A = E B > φa φ BA 7 D 0 ev 0 ev n = 8 C 3 mg F T mg F F F 9 A Q x ΔtΔt < T 3λ 4 Δt