The figure shows three displacement vectors A, B, and C. These vectors are arranged in tail-to-head fashion, and they add together to give a resultant displacement R, which lies along the x axis. Note that vector B is parallel to the x axis. What is (a) the magnitude of vector A and (b) its directional angle 8? +y

The figure shows three displacement vectors A, B, and C. These vectors are arranged in tail-to-head fashion, and they add together to give a resultant displacement R, which lies along the x axis. Note that vector B is parallel to the x axis. What is (a) the magnitude of vector A and (b) its directional angle 8? +y

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)...

See similar textbooks

Similar questions

Vector A has a magnitude of 27.5 units and it points in a direction 320° counterclockwise from the positive x-axis. What are the x- and y-components of A? Answe is Ax = _ ans Ay = _.
A vector has an x-component A, > 0 and has an angle with respect to the +x-axis. Which of the following is a proper expression for the y-component of the vector? O A, tan 0 None of the given choices. O A, sec OA, cos 0 OA, sin 6 W
Multiple Concept Example 9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 18.0 m, B = 11.0 m, C = 12.0 m, and D = 28.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis. (a) Number (b) Number Units Units 20.0⁰ 35.0 +y 50.0* 다. D +X
Vector A has a magnitude of 15.0 units and it points in a direction 310° counterclockwise from the positive x-axis. What are the x- and y-components of A?
The figure shows three displacement vectors A, B, and C. These vectors are arranged in tail-to-head fashion, and they add together to give a resultant displacement R, which lies along the x axis. Note that vector B is parallel to the x axis. What is (a) the magnitude of vector A and (b) its directional angle 0? +y Ā 0 B 9.00 m R 34.0m (a) Number 25.0m (b) Number i IN c 48.0°/ +x Units Units
A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as the drawing indicates. The magnitudes of the first three vectors are A = 3.00 km, B = 5.10 km, and C = 4.80 km. The finish line of the course coincides with the starting line. Using the data in the drawing, find (a) the distance of the fourth leg and (b) the angle . (a) Number IA i (b) Number i Units Units 23.0 7 167 B Finish- B 35.0⁰ A 40.0° Start
The figure shows an overhead view of two people and a donkey who doesn't want to go anywhere. Find (a) the single vector that is equivalent to the SUM of the two vectors F: (120.0 Newtons magnitude) and F2 (80 Newtons magnitude) shown. (Hint: break into x,y components and sum those separately) Your answer should have a magnitude AND F = 120 N direction. 80.0 N 75.0 e 60.0 (b) Find the vector in the direction of the donkey that, if added to F, and F2 would sum to zero. (Hint: If your answer to (a) is F3 then find - F3. Again, you need a magnitude and direction for your answer here.
Vector A represents the displacement of a car that has travelled 46.23 m, 73.71 degrees west of south from the origin. Take East and North to be the directions of the positive x and y axes, respectively. What is the y- component of the displacement A? Express your answer in two decimal places.
Multiple Concept Example 9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 11.0 m, C = 11.0 m, and D = 23.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis. 20.0 35.0 50.0 (a) Number i Units (b) Number Units eTexthoek and NAa di
A traveler is exploring an unfamiliar cave in the Northern Luzon. She follows a passage 180 m straight west, then 210 m in a direction 45° east of south, and then 280 m at 30° east of north. After a fourth unmeasured displacement, she finds herself back where she started. Draw the diagram following her path, then solve for the magnitude and direction of the fourth displacement. You may also try drawing a scale diagram of the given vectors using your ruler and protractor, then measure the fourth displacement to check your quantitative answer.
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.
An ocean liner leaves New York City and travels 17.5 ° north of east for 111 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north? N W S (a) Number i Units (b) Number i Units