67_Physics ProblemsTechnical Physics

67_Physics - 68 P3.45 Vectors The hurricanes first displacement is is FG 41.0 km IJ(3.00 h at 60.0 N of W and its second displacement HhK FG 25.0

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68 Vectors P3.45 The hurricane’s first displacement is 41 0 300 . . km h h F H G I K J () at 60 0 . ° N of W, and its second displacement is 25 0 150 . . 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 .c o s .. ± .s i n ± ± . ± ± km h h km h h km h h k m km ° F H G I K J −+ ° F H G I K J + F H G I K J =− + af ej ij j i j with magnitude 61 5 144 157 22 . km km km + ( ) = . P3.46 (a) Eij 17 0 27 0 17 0 27 0 o s . ± i n . ± cm cm a f a f Ei j =+ 15 1 7 72 . ± . ± cm (b) Fi j ° + ° 17 0 27 0 17 0 27 0 i n . ± o s . ± cm cm a f a f j + 772 151 . ± . ± cm (c) Gi j ° 17 0 27 0 17 0 27 0 i n . ± o s . ± cm cm a f a f j + . ± . ± cm F y x 27.0° G 27.0° E 27.0° FIG. P3.46 P3.47 A x = ., A y = 200 . (a) Aij i j =+= + AA xy ±± . ± . ± (b) A = + ( ) = 361 . tan . . . θ == = A A y x 0 667, tan
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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