An object moves in an x-y plane generating three displacements (50.0 m, 60.0° west of north;20.0 m, 30.0° east of north; 10.0 m east).a) Draw vector A in its reference frame and determine its x component and its y component.Express vector A in Cartesian form.b) Draw vector B in its reference frame and determine its x component and its y component.Express vector B in Cartesian form.c) Draw vector C in its reference frame and determine its x component and its y component.Express vector C in Cartesian form.d) Determine the resulting vector Cartesian Reform. In addition, determine its magnitude andits angle.Note: As can be seen in the diagram, the resulting vector is in the first quadrant, so the signs ofits components and its angle have to be those corresponding to a vector in the first guadrant.wwwMwmww o wy (norte)10.0 m20.0 m<30.0°50.0 m60.0°(oeste)x (este)

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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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Describe the following vectors using the unit vectors i and j.a) A velocity of 10 m/s at an angle of elevation of 60 degrees.b) A vector A of magnitude A = 5m and θ = 225 degrees. c) A displacement from the origin to the point x = 14 m and y = -6 m.
A block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a strong spring with k = 2.30 ✕ 104 N/m. The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?
MY NOTE ASK YOUR TEACHER Displacement vector A points due east and has a magnitude of 1.9 km. Displacement vector B points due north and has a magnitude of 2.44 km. Displacement vector points due south and has a magnitude of 1.8 km. Find the magnitude and direction (relative to due east) of the resultant points due west and has a magnitude of 2.6 km. Displacement vector D vector A + B +C+D. magnitude km o e direction o counterclockwise from due east Additional Materials teps... eBook I were pre option em... 8? ? TOO 1,631 OCT 8. MacBook Air esc DOO DDO FA F1 74 F2 F3 F5 %24 2 3 6
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Vector A, vector B, and vector C are drawn to scale in the figure below. The vector Ais 5.3 meters long and points 56 degrees counterclockwise from the positive x-axis. The vector B is 4.0 meters long and points along the negative x-axis. The vector C is 2.8 meters long and points 53 degrees clockwise from the negative x-axis. 1. What are Ax and Ay, the x and y components of vector A? 2. What are Cx and Ay, the x and y components of vector C? 3. What are Rx and Ry, the x and y components of the resultant vector R =A +B+C?
I 2 BE Suppose you walk 13.0 m straight west and then 21.0 m straight north. How far are you from your starting point, 25 m what is angle of the resultant vector, 57.5 O and what is the compass direction of a line connecting your starting point to your final position? 58 X °W of N
Given vector A = xz ax -xy ay +yz az Transform A into cylindrical coordinate and it's magnitude at point (1,30o,2) is equal to:
20.0° +y y c (a) Number 160 B 60.0⁰ (b) Number i The three displacement vectors in the drawing have magnitudes of A = 5.14 m, B = 5.67 m, and C = 3.04 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis which is less than 90°. +x Units Units <
Consider two vectors, A, which points along the +x direction with a magnitude of 3 units andvector B, which points 20o from the +y axis with a magnitude of 4 units as shown in Figure 1.a) Find the magnitude of the vector, B − A.b) Find the vector C so that A + B + C = 0.
m Let B = 5.05 m at 60.0°. C and A have equal magnitudes. The direction angle of Ĉ is larger than that of A by 25.0°. Let A · B = magnitude . . 29.1 m² and B C = 36.3 m². Find the magnitude (in m) and direction (in degrees) of A. direction
Problem 1 Let A = î - 2ĵ and B = 2î + ĵ. Compute the following vector calculation. A × (A - B) Problem 2 Using the two vectors from the previous problem, compute the following vector calculation. B x (A + B)

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