Bukhovtsev-et-al-Problems-in-Elementary-Physics

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216 ANSWERS AND SOLUTIONS Fig.3d1 Fig. 882 159. Let us take point A from which the boat departs as the origin of the coordinate system. The direction of the axes is shown in Fig. 333. The boat moves in a direction perpendicular to the current at a constant velocity u. For this reason the boat will be at a distance g from the bank in the time t=.1L after departure. Let us consider the motion of the boat up to the u middle of the river (y
MECHANICS 217 1'-'~~---------""2 2 9 46------------..lIIII~-9 Fig. 334 river in the time T=;u and will be carried downstream during the same time over a distance of s= a~2 = ~~. river (point D) to the opposite bank, When moving from the middle of the the boat will again be carried away over the same dist~nce s. Thus, the sought distance is ;:. When the boat moves to the middle of the river X= a~2=(It t 2 and y=ut. Let us use these ratios to determine the trajectory of the boat from A to D. We get y2=:!f.. x (a parabola). The other half of the trajectory (DB) is of the Vo . same nature as the first one. 160. It is obvious from considerations of symmetry that at any moment of time the tortoises will be at the corners of a square whose side gradually diminishes (Fig. 334). The speed of each tortoise can be resolved into a radial (directed towards the centre) and a perpendicular components. The radial speed wiII be equal to (I, = ";2. Each tortoise has to walk a distance of a 1=V2 to the centre. Therefore, the tortoises will meet at the centre of the square after the time l a t=-=- elapses. v, v 161. Ship B moves toward ship A with the speed 0, At the same time ship A sails away from ship B with the speed v cos a (Fig. 335). Therefore,
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B. B. 6yX08I4e8. B. JI. KpU8IleHIC0
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First published 1971 Second printin
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6 Chapter 5. Geometrical Optics •
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8 PROBLEMS engineer arrived at the
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10 PROBLEMS c rIII a Fig. 3 01 IIII
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12 PROBLEMS ....------1----.... str
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14 PROBLEMS velocity at a constant
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18 PROBLEM~ friction if the weight
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20 PROBLEMS Fig. 28 H 11/ r ~--I---
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22 PROBLEMS Fig. 25 Fig. 26 B m; is
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2(; PROBLEMS m m Fig. 32 Fig. 33 90
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28 PROBLEMS o ;...-. ..... 8 D Fig.
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a Fig. 41 Fig. 42 for the rotating
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32 PROBLEMS Fig. 48 122. In Guerick
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34 PROBLEMS (I) What work is done b
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40 PROBLEMS s II ne. 61 Fl,. 62 182
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44 PROBLEMS 178. A ball bearing sup
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46 PROBLEMS Fig. 73 Fig. 74 189. At
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a 0' Fig. 80 Fig- 8/ ces '1 and " f
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50 PROBLEMS Fig. 84 Fig. 85 205. A
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--- --r-- - Fig. 114 ~--l---I"" Fig
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CHAPTER 2 HEAT. MOLECULAR PHYSICS 2
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70 PROBLEMS What quantity of heat w
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72 PROBLEMS 315. A barometer gives
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74 PROBLEMS pressure Po = 760 mm Hg
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76 PROBLEMS of the air in the room
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78 PROBLEMS -- II -- - --- -- - - -
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88 PROBLEMS 400. If only one charge
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90 PROBLEMS 417. A metal leaf is at
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92 PROBLEMS Fig. 153 Fig. 154 431.
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A Fig. /66 Fig. /67 463. Two conduc
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102 . PROBLEMS . Fig. 174 Fig. /75
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104 PROBLEMS length of L = 5.6 km t
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108 ....------------- PROBLEJ\\S Fi
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110 PROBLEMS Fig. 187 Fig. 188 Cons
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112 PROBLEMS 3-4. Magnetic Field of
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114 PROBLEMS 553. Will the density
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116 PROBLEMS tic field in the direc
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118 PROBLEMS Fig. 206 Fig. 207 ving
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PROBLEMS 625. Find the period of os
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130 PROBLEMS Fig. 227 tions of a we
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134 PROBLEMS 00 DC- Fig. 232 Fig. 2
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138 PROBLEMS 680. Find graphically
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140 PROBLEMS W 689. Two flat mirror
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144 PROBLEMS .9' Fig. 247 length of
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150 PROBLEMS 757. Two men, a far-si
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152 PROBLEMS H 767. Two point sourc
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154 PROBLEMS 773. A convergent lens
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156 PROBLEMS 6.. 2. Diffraction of
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158 P~OBLEMS focal length of f = 40
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ANSWERS AND SOLUTIONS CHAPTER 1 MEC
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162 ANSWERS AND SOLUTIONS I 2 9 5 G
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164 ANSWERS AND SOLUTIONS depend on
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CHAPTER 2 HEAT. MOLECULAR PHYSICS 2
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CHAPTER 3 ELECTRICITY AND MAGNETISM
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332 ANSWERS AND SOLUTIONS 9 !/min F
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336 ANSWERS AND SOLUTIONS "'---1/=1
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366 ANSWERS AND SOLUTIONS 623. Each
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368 ANSWERS AND SOLUTIONS Let us so
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370 ANSWERS AND SOLUTIONS Rememberi
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372 ANSWERS AND SOLUTIONS Hence, 0)
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A ~-..----4-----r--------r-- Fig. 4
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CHAPTER 5 GEOMETRICAL OPTICS 5-1. P
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382 ANSWERS AND SOLUTIONS· Paper -
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384 ANSWERS AND SOLUTIONS DAB =~-=-
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386 ANSWERS AND SOLUTIONS 684. (a)
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390 ANSWERS AND SOLUTIONS Then. acc
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392 ANSWERS AND SOLUTIONS a Fig. 50
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396 ANSWERS AND SOLUTIONS ~-"":;:'-
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8' Fig. 519 s* IIIIIIII N P H' Fig.
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404 ANSWERS AND SOLUTIONS ~---d---~
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406 ANSWERS AND SOLUTIONS E a S s'
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410 ANSWERS AND SOLUTIONS The dista
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412 ANS\\'ERS AND SOLUTIONS the sys
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414 J- ------....,.c 8- ----~--- AN
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416 ANSWERS AND SOLUTIONS Therefore
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418 ANSWERS AND SOLUTIONS N Fig. 54
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422 S, IT ........... In --.. U' .,
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424 ANSWERS AND SOLUTIONS dering tr
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426 ANSWERS AND SOLUTIONS Fig 556 T
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428 ANSWERS AND SOLUTIONS 779. When
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434 ANSWERS AND SOLUTIONS cent slit
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436 ANSWERS AND SOLUTIONS 805. For
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