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67_Physics ProblemsTechnical Physics

# 67_Physics ProblemsTechnical Physics - 68 P3.45 Vectors The...

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68 Vectors P3.45 The hurricane’s first displacement is 41 0 3 00 . . km h h F H G I K J ( ) at 60 0 . ° N of W, and its second displacement is 25 0 1 50 . . km h h F H G I K J ( ) due North. With ± i representing east and ± j representing north, its total displacement is: 41 0 60 0 3 00 41 0 60 0 3 00 25 0 1 50 61 5 144 . cos . . ± . sin . . ± . . ± . ± ± km h h km h h km h h km km ° F H G I K J + ° F H G I K J + F H G I K J = + a f e j a f a f e j i j j i j with magnitude 61 5 144 157 2 2 . km km km ( ) +( ) = . P3.46 (a) E i j = ° + ° 17 0 27 0 17 0 27 0 . cos . ± . sin . ± cm cm a f a f E i j = + 15 1 7 72 . ± . ± e j cm (b) F i j = − ° + ° 17 0 27 0 17 0 27 0 . sin . ± . cos . ± cm cm a f a f F i j = + 7 72 15 1 . ± . ± e j cm (c) G i j = + ° + ° 17 0 27 0 17 0 27 0 . sin . ± . cos . ± cm cm a f a f G i j = + + 7 72 15 1 . ± . ± e j cm F y x 27.0° G 27.0° E 27.0° FIG. P3.46 P3.47 A x = 3 00 . , A y = 2 00 . (a) A i j i j = + = + A A x y ± ± . ± . ± 3 00 2 00 (b)
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