03_InstSolManual_PDF_Part12 - 3-12 Chapter 3 and the boat...

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3.40. Set Up: The relative velocities are the water relative to the earth, the boat relative to the water, and the boat relative to the earth, is due east and has magnitude is due south and has magnitude The relative velocity addition diagram is given in Figure 3.40. Figure 3.40 Solve: (a) south of east. (b) To cross the river the boat must travel 800 m east, relative to the earth. The eastward component of is (c) The component of in the southward direction is In the 190 s it takes him to cross the river he travels south a distance of 3.41. Set Up: The relative velocities are the water relative to the earth, the boat relative to the water, and the boat relative to the earth, is due east, is due south and has magnitude The velocity addition diagram is given in Figure 3.41. Figure 3.41 Solve: (a) Find the direction of north of east. (b) (c) Reflect: It takes longer to cross the river in this problem than it did in Problem 3.40. In the direction straight across
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Unformatted text preview: the river (east) the component of his velocity relative to the earth is lass than 4.2 m / s. t 5 800 m v B / E 5 800 m 3.7 m / s 5 216 s. v B / E 5 " v B / W 2 2 v W / E 2 5 "1 4.2 m / s 2 2 2 1 2.0 m / s 2 2 5 3.7 m / s u 5 28.4°, sin u 5 v W / E v B / W 5 2.0 m / s 4.2 m / s . v S B / W . u u v B/E v W/E v B/W S S S v S B / E 5 v S B / W 1 v S W / E . v B / W 5 4.2 m / s. 2.0 m / s. v S W / E v S B / E v S B / E . v S B / W , v S W / E , 1 2.0 m / s 21 190 s 2 5 380 m. v W / E 5 2.0 m / s. v S B / E t 5 800 m 4.2 m / s 5 190 s. v B / W 5 4.2 m / s. v S B / E u 5 25.5°, tan u 5 v W / E v B / W 5 2.0 m / s 4.2 m / s . v B / E 5 " v W / E 2 1 v B / W 2 5 "1 2.0 m / s 2 2 1 1 4.2 m / s 2 2 5 4.65 m / s. N S u u v B/E v W/E v B/W S S S E W v S B / E 5 v S B / W 1 v S W / E . 2.0 m / s. v S W / E 4.2 m / s. v S B / W v S B / E . v S B / W , v S W / E , 3-12 Chapter 3...
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  • Spring '07
  • Shoberg
  • Velocity, Relative velocity, vB/E

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