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1 (2) ( beresit ) ( ) ( ) ( ) 1 Makio Uwaha. uwaha@nagoya-u.jp; 1

2 (a) (b) 1: (a) ( ) (b) ( ) : ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( 2 ) 2 2

3 20 [ ] 2 20 ( ) A B A B A B

4 [ ] f = ma m d2 r dt 2 = f (1) ( ) (1) x(t) v(t) = dx/dt a(t) = dv/dt = d 2 x/dt 2 a(t) = d2 x(t) dt 2 = d dt ( ) dx(t) dt = 1 f(t) (2) m t x(t) v(t) t + t : v(t + t) = v(t) + dv(t) dt t = v(t) + a(t) t = v(t) + f(t) t, (3) m x(t + t) = x(t) + dx(t) t = x(t) + v(t) t. (4) dt t+ t t! 4

5 , 5 [ ( )] 3 (Albert Einstein: ) ( 100 ) 5 5

6 1 200km 1 30km? 1 1 ( ) [ ] 1 B v B V A v + V A r t B r t r = r + V t (5) t = t (6) 6

7 t v = v + V 1. v B v B v A v A (B A before after) (v B v A v A = v B ) v A = 0 v A 2. v B 1 vb 2 V = (v B 1 + vb 2 )/2 v B 1 = vb 1 V = (vb 1 vb 2 )/2 v B 2 = vb 2 V = (vb 2 vb 1 )/2 6 v A v A v 1 = v A + V = v A + (v 1 + v 2 )/2 v 2 = v A + V = v A + (v 1 + v 2 )/2 7 ( ) [ ] m 1 v B 1 + m 2 v B 2 = m 1 v A 1 + m 2 v A 2 (7) m 2 = 2m 1 4 (Isac Newton: ) ( ) (Christiaan Huygens: ) 7

8 (a) (b) (c) 2: (a) (b) (c) 1. : 2. : ( ) : ma = m dv dt = md2 r dt 2 = f (8) 3. : A B f A B A B f B A = f A B (9) (8) f = 0 v 1 8

9 (a) (b) (c) 3: (a) (b) (c) 3 f (8) (Pierre-Simon Laplace: ) ( ) ( 1812 ) (René Descartes: ) (Je pense, donc je suis.)

10 (Michael Faraday: ) 30 9 (A) (B) 10 A B e v B f = ev B B A B A B 340m/s ( ) ( ( ) ) ( m/s) 9 (Heinrich Rudolf Hertz: ) ! (aether ether) (C 2H 5) 2O 10

11 (a) (b) (c) 4: (a) (Galileo Galilei: ) (b) (c) 5 (Albert Abraham Michelson: ) t r (6)? [ ] ( )

12 (a) (b) (c) 5: (a) (b) (c)? x t 13 (Jules-Henri Poincare: ) 13 Hendrik Antoon Lorentz:

13 [ ] i) ii) iii) ( )A B B A V x A B z L z A A: L c t A = L/c B t B B: V t B x 2 L 2 + (V t B /2) 2 ( ) V 2 tb 2 L t B = (10) c t B 2L t B = ( ) (11) V 2 c 1 c 2L/c B B B: t B = 2L/c A B A: 2L t A = 2L/c 1 (V/c) 2 13

14 ( ) E = mc ( ) ( ) 1979 ( )

15 ( )

16 I 1967 OK II 1968 III 1969 IV 1971 V : ( 1988 ) 16

17 1 1 2 [ ] 1 ( ) 17

18 [ ] ( ) I ( ) 18

19 A A A A B A B A A B A B A B A B A B A B A t A A B B t B B A t A A t B t A = t A t B ( ) ( ). 19

20 1. B A A B 2. A B C B C [ ] ( ) ( ) [ ] ( ) (A B AB ) 2AB t A t A = c ( ) c = 1 20

21 1 l X X x v : a). b) 1 ( ) t 2 ( ) a) 15 ) l b) ( ) l t [ B A] 1 [ ] A B [ ] 15 : 21

22 A B t A 16 A t B B t A A [ ] t B t A = r AB c v, t A t B = r AB c + v. r AB A B. 16 ( ). [ t A A.] 22

A. Fresnel) 19 1900 (M. Planck) 1905 (A. Einstein) X (A. Ampère) (M. Faraday) 1864 (C. Maxwell) 1871 (H. R. Hertz) 1888 2.2 1 7 (G. Galilei) 1638 2

A. Fresnel) 19 1900 (M. Planck) 1905 (A. Einstein) X (A. Ampère) (M. Faraday) 1864 (C. Maxwell) 1871 (H. R. Hertz) 1888 2.2 1 7 (G. Galilei) 1638 2 1 2012.8 e-mail: tatekawa (at) akane.waseda.jp 1 2005-2006 2 2009 1-2 3 x t x t 2 2.1 17 (I. Newton) C. Huygens) 19 (T. Young) 1 A. Fresnel) 19 1900 (M. Planck) 1905 (A. Einstein) X (A. Ampère) (M. Faraday)

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