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1

2

3

4

5 m0 m = v2 1 c 2 F G m m 1 2 = 2 r

6

7 m L T = 2 π ( m g 4 ) m m = 1

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9

10

11

12 F AC F BC r F r F l r = sin sinl l F = h d G +

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14

15 S 2 = t

16 v h = t 2 l = v 2 t t h = v = at v = gt t 1 l 1 a t g = t sin α 1 1 a = gsinα g a sinα S t = 2

17 v = gt S = 1 2 gt 2 v = at S = 1 at 2 a 2

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19

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21 1 v t R 1 v ' t R' 2 2 Rv R ' v' k

22 T T a

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25

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27

28 s s ds v = v = v = t t dt v a s s1 2s1 = t 1 = t 2 t 1 = t 2 v 2v 1 1 v a s

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30 m m 2 v 1 2 c

31

32

33 F ma m m T v R m R R T mr T = = ( ) π π

34 2 T kr π m 4π F 2 µ kr k m F µ 2 R M F' ' R 2 m F m R 2 F G Mm R 2

35 F G m m R F G m m R v a = R = 4π T R n a n / 60 2

36

37

38

39 x x vt y y z z t t = + = = = ' ' ' '

40 x x vt v c y y z z t t v c x v c = + = = = + ' ' ' ' ' '

41 m nv mv n v n mv = m 2 n ( n v) 2

42 1 2 2 mv mv 2 mv f = t mv f = 2 / 2 S v S = v t = t mv 2

43

44

45 v1 m 2 = v m 2 1

46 F = m a m v ' v m v' m v p' = 1 = = t t 2 1 F = m a m v ' v m v' m v p' = 2 = = t t F p' = F p t p' p = t p t p t

47 n Fi = 0 i= 1 n m i i=1 v i

48

49

50 p 1 + at = p 1 + at 1 1

51 t F 9 = t 5 t = ( t F 32) 9 t = 4 R t 5

52 T Et E = + 1

53 Q 2 η = 1 Q 1

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55

56

57

58

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60 mv

61

62

63 mgh mv = 1 2 2

64 1 2 2 mv mgh =

65 x y z Fx = Φ Fy = Φ Fz = Φ r r r 1 R mq mq = Φdr 2 2 r

66

67

68

69

70 Q1 Q2 = T T 1 2 Q1 Q2 + = 0 T T 1 2 dq T = 0 Q1 Q T T 1 2 dq T 0 dq T dq T dq ds = T

71 d dq Sd Sc c T dq ds T

72

73 Q1 Q2 = T T Q T 1 1 Q2 = 0 T Q1 Q2 + = 0 T T 1 2 Q T dq T = 0 dq T 0 dq dq = 0 T T dq ds = T

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79 p = 1 2 nmv 3 1 l = 2 2 πα n 0 2 v a f( v) = v e 3 a π

80

81 1 F n 2 n = 2 + δ δ = r n A CA C A S S

82 F 1 n n = α + δ r F ~ 1 2 r

83 = = T = 2π l g mg = G mm 2 r GL T = 2π M r

84 q q 1 2 f... r f

85 k k = 1 4πε

86

87

88

89 W = W q q t I t q t dq dt t ( ) lim = = 0

90

91 R V I = R L S = ρ

92 a X = b + x ( 1 )

93 dq = KS dv dx dt ( 5) I = KS dv ( 6) dx j = K dv ( 7) dx V I = R

94 ε I = R + r Z V = I Z V I

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96

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99

100

101 ϕ ε = K d dt ϕ ε = d dt e N d ϕ d( Nϕ) = = dt dt ϕ

102

103 KQ P( r) = e r 4πr U = e ( 1) r

104 D t

105

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107 V k = ρ

108 V = C / µ C E = C Q 2 2 C r V = K / 4πµ = c / µ

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113

114 í

115 (i) (r) ' 15 31' 14 52' 22 30' 22 1' ' ' 40 30' 40 30' 45 30' 44 48' '

116 DC DE i DA = / sin i DE r = csc / sin csc r = CB BE sini / = = u = AB BD sin r B l = nds A B δl = δ nds = 0 A

117 sini = n sin r 21 sini V1 = = n 21 sinr V 2

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119

120

121 D x ' = λ d λ = x ' d D x d λ = L + L 1 2

122 1 A M2 M2 A

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128

129

130 =

131 wll C = 4 0 s

132 c = 1/ ε 0 µ 0 = km / s km/s km/s CO

133

134

135 sini v 2 = = n sin r v 1 sini sinr v v = 1 2 v v 2 1

136

137 h = 1 2 mv 2 + A

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140

141 W = N 1 mv 2 2 mv 2 Bev R e W = m B R Q e m / 2 evb mv R e E = m 2 B R E B R v e m

142 mg mg + ee v v = 1 2

143 m0 m = 2 v 1 2 c me = 1 mh 1830

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150

151

152 3 βν ρ ν T = αν e T

153 3 c Uν = πν ρ 2 ν 8 U S = a Ln U ν e b ν 3 π ν ν ρ = 8 b a ν 3 e c T πν ρ( ν T ) = KT c

154 2 πν ν ρ = 8 b ν 3 c γ e b 1 kt 2 8πν hν ρ = 3 h γ c KT e 1

155

156

157

158 F = K QQ' F = G mm' 2 2 r r F = G mm ' 2 r? F K QQ ' = 2 r

159 h mvr = n γ = RC m 2 n 2

160 E = h γ 1 1 = Rhc E E m n =

161

162

163 1 1 H N He O H + +

164

165

166 x x vt y y z z t t ' ' ' ' = = = =

167 x x vt v c y y z z t t v c x v c ' ' ' ' = = = =

168

169 2 v l = l' 1 2 c t = t'/ 1 v c 2 2 m = m v c 2

170 x x vt v c y y z z t t v c x v c ' ' ' ' = = = = E = c p + E u u v u u c = + + ' ' 1 2

171

172

173

174 h = 1 2 mv 2 ν I W 1 2 mv 2 h ν = 1 2 mv 2 W 1 mv 2 = Ve = hν W 2

175 ev = h w V = h w 0 0 e e h w 0 e e 1 2 m 2 ν = h m ν ν0 h = 1 2 mv + h = 1 2 ν ν 2 mv 2 w m 0 m ϕ

176

177

178 ν ν ν ν

179 ν h E = hν p = λ h p = λ p = h λ = r p = n h 2π

180 = h p l = ndl = 0 w = pdl = 0 w = 0 l = 0 E = hν = h E h p ν P E = h ν = h mv

181

182

183

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