· Ax= Part II: Vectors À (Ax,y) -(b₁₁by) = A + B = ((x,y) Cx = Ax+Bx = Ay+By 1. A vector A has a magnitude of 10.0 m and points in a direction that makes an angle of 30.0° above the positive x-axis. A second vector B, has a magnitude of 15.0 m and points in a direction 60.0" below the negative x-axis. a) Draw the two vectors and their components. Al cos 30°: 8.66m Ay = 141 sing05m Bx=-181 (05600-7.5m By=-161i0-12m Ax if @ & IAI given A=(Ax, Ag) if given Ax A IATA A Ay tong = 10m A 230° 60° x Ax = Al-case A: AI-sine 15m B b) Find the magnitude of the vector's components. COS300 A 10m (10m) cos 30° 8.66 - A A sin 500= 0 10 m (10m) Sin (30) = 0 S 0 Sin 60° 15m (15m) sin (60°) O -12.99m-0 C0160°= 4. (15m) Cos(60) A -7.5=A Ax = 8.66m Ay = 5.0m By = -7.5m By= -133 c) Using the component method to find the magnitude (II) and direction (Dir()) of the resultant vector C = A + B. C = ((x, y) Cy: Ay+By S+ (-13) -8 Cx = Ax+Bx (x 8.66m+(-7.5m) = 1.16 (1.16)²+(-8)2 65.3456 0 -8 8.08 - 8.08 1.16 tan (11) = = 0 |c|= 8.08m Dir()=87 below tx

· Ax= Part II: Vectors À (Ax,y) -(b₁₁by) = A + B = ((x,y) Cx = Ax+Bx = Ay+By 1. A vector A has a magnitude of 10.0 m and points in a direction that makes an angle of 30.0° above the positive x-axis. A second vector B, has a magnitude of 15.0 m and points in a direction 60.0" below the negative x-axis. a) Draw the two vectors and their components. Al cos 30°: 8.66m Ay = 141 sing05m Bx=-181 (05600-7.5m By=-161i0-12m Ax if @ & IAI given A=(Ax, Ag) if given Ax A IATA A Ay tong = 10m A 230° 60° x Ax = Al-case A: AI-sine 15m B b) Find the magnitude of the vector's components. COS300 A 10m (10m) cos 30° 8.66 - A A sin 500= 0 10 m (10m) Sin (30) = 0 S 0 Sin 60° 15m (15m) sin (60°) O -12.99m-0 C0160°= 4. (15m) Cos(60) A -7.5=A Ax = 8.66m Ay = 5.0m By = -7.5m By= -133 c) Using the component method to find the magnitude (II) and direction (Dir()) of the resultant vector C = A + B. C = ((x, y) Cy: Ay+By S+ (-13) -8 Cx = Ax+Bx (x 8.66m+(-7.5m) = 1.16 (1.16)²+(-8)2 65.3456 0 -8 8.08 - 8.08 1.16 tan (11) = = 0 |c|= 8.08m Dir()=87 below tx

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 3.41P: Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a)...

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