5. The first drawing shows three displacement vectors, Ā, B, and C,which are added in a tail-to-head fashion. The resultant vector is labeledR. Which of the following drawings shows the correct resultant vector forA + B - Č? (a) 1 (b) 2 (c) 3B'RARRR(1)(2)(3)

Answered: 5. The first drawing shows three…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Vector A has a negative x component 3.05 units in length and a positive y component 1.95 units in length. (a) Determine an expression for A in unit-vector notation. (b) Determine the magnitude and direction of A. (c) What vector B, when added to vector A, gives a resultant vector with no x component and a negative y component 3.63 units in length? Step 1 The component description determines the unit-vector expression for vector A. Its magnitude and direction are determined from its components. The vector B will be determined from the description of the resultant vector R along with the known components of A. Step 3 (a) We are given Ax A = A Step 2 Determine the unit-vector notation for A using its given components. We know the components of the resulting vector R = A + B, and from this we can determine the vector B A Axî + A,ĵ = (-3.05 = -3.05 = = € -3.05 0 Step 4 (b) The magnitude of A is given by the following equation. 2 A₂²2² + Ay² X X 1.95 -3.05 unit(s) and Ay = 1.95 -3.05 +1.95…
Problem 3: Vector A has magnitude 8 and angle 29°. Vector B has magnitude 13 and angle 111°. Part (a) What is the magnitude of the resultant vector? Numeric : A numeric value is expected and not an expression. r =
SS 1. A vector A has a magnitude of 54.0 m and points in a direction 26.0° above the positive x axis. A second vector, B, has a magnitude of 88.0 m and points in a direction 59.0° above the positive x axis. Using the component method of vector addition, find the of the vector C = Ã + B. m Sispargnitudin f60 sst ssf60 ss + ssf60comp 0 ssf60 ssion
A displacement vector in the xy plane is 48.0 m long and directed at angle = 35.0° in the figure. Determine (a) the component and (b) the y component of the vector. Ensure you state the correct units.
Vector C has a magnitude of 25.8 m and points in the -y- direction. Vectors A and B both have positive y-components, and make angles of a = 41.4° and ß = 26.7° with the positive and negative x-axis, respectively. If the vector sum A+B+C = 0, what are the magnitudes of A and B? |A| = |B| = m m B A Figure is not to scale.
Problem 1: A displacement vector points in a direction of e = 21° left of the positive y- axis. The magnitude of this vector is D = 105 m. Refer to the figure. Part (a) Enter an expression for the x-component vector, D,, in terms of D, 0, and the unit vectors i and j. D, = cos(a) cos(o) cos(0) cos(90+0) 7 8 HOME sin(a) sin(o) sin(0) 4 5 6. i 1 2 3 k D + END h P t ВАCKSPACE DEL CLEAR Submit I give up! Hint Feedback Part (b) Enter an expression for the y-component vector, D, in terms of D, 0, and the unit vectors i and j. Part (c) Enter an expression for the vector D in terms of D, 0, and the unit vectors i and j. Part (d) What is the sum of the magnitudes of vectors D, and D,., in meters?

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5. The first drawing shows three displacement vectors, Ā, B, and C, which are added in a tail-to-head fashion. The resultant vector is labeled R. Which of the following drawings shows the correct resultant vector for A + B - Č? (a) 1 (b) 2 (c) 3 B' R A R R R (1) (2) (3)