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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
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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
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More information1: 3.3 1/8000 1/ m m/s v = 2kT/m = 2RT/M k R 8.31 J/(K mole) M 18 g 1 5 a v t πa 2 vt kg (
1905 1 1.1 0.05 mm 1 µm 2 1 1 2004 21 2004 7 21 2005 web 2 [1, 2] 1 1: 3.3 1/8000 1/30 3 10 10 m 3 500 m/s 4 1 10 19 5 6 7 1.2 3 4 v = 2kT/m = 2RT/M k R 8.31 J/(K mole) M 18 g 1 5 a v t πa 2 vt 6 6 10
More information2 1 x 1.1: v mg x (t) = v(t) mv (t) = mg 0 x(0) = x 0 v(0) = v 0 x(t) = x 0 + v 0 t 1 2 gt2 v(t) = v 0 gt t x = x 0 + v2 0 2g v2 2g 1.1 (x, v) θ
1 1 1.1 (Isaac Newton, 1642 1727) 1. : 2. ( ) F = ma 3. ; F a 2 t x(t) v(t) = x (t) v (t) = x (t) F 3 3 3 3 3 3 6 1 2 6 12 1 3 1 2 m 2 1 x 1.1: v mg x (t) = v(t) mv (t) = mg 0 x(0) = x 0 v(0) = v 0 x(t)
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More informationd (K + U) = v [ma F(r)] = (2.4.4) t = t r(t ) = r t 1 r(t 1 ) = r 1 U(r 1 ) U(r ) = t1 t du t1 = t F(r(t)) dr(t) r1 = F dr (2.4.5) r F 2 F ( F) r A r
2.4 ( ) U(r) ( ) ( ) U F(r) = x, U y, U = U(r) (2.4.1) z 2 1 K = mv 2 /2 dk = d ( ) 1 2 mv2 = mv dv = v (ma) (2.4.2) ( ) U(r(t)) r(t) r(t) + dr(t) du du = U(r(t) + dr(t)) U(r(t)) = U x = U(r(t)) dr(t)
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More informationhttp://www.ike-dyn.ritsumei.ac.jp/ hyoo/wave.html 1 1, 5 3 1.1 1..................................... 3 1.2 5.1................................... 4 1.3.......................... 5 1.4 5.2, 5.3....................
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