Multiple Concept Example 9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 15.0 m, B = 11.0 m, C = 13.0 m, and D= 29.0 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. +v 20.0 35.0 +1 50.0 (a) Number i Units No units (b) Number m i Units m/s
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- The three displacement vectors in the drawing have magnitudes of A = 5.97 m, B = 6.04 m, and C = 4.80 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°.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?The displacement vectors A and B shown in the figure below both have magnitudes of 2.05 m. The direction of vector A is 0 = 44.0°. (a) Find A + B graphically. magnitude direction m (b) Find A - B graphically. magnitude direction (c) Find B - A graphically. magnitude direction counterclockwise from the +x axis m (d) Find A 2B graphically. magnitude direction counterclockwise from the +x axis m counterclockwise from the +x axis m o counterclockwise from the +x axis
- A 20.0° +y B 60.0° +x The three displacement vectors in the drawing have magnitudes of A = 5.92 m, B = 5.69 m, and C = 4.98 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°. C (a) Number 3.35 Number Units m Units o > S SMultiple 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 = 12.0 m, C = 11.0 m, and D = 24.0 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 i (b) Number i Units Units 20.0⁰ 35.0⁰ 50.0* > > D +XA 20.0° SALA +y C 160 60.0⁰ (a) Number i B (b) Number i The three displacement vectors in the drawing have magnitudes of A = 5.98 m, B = 6.75 m, and C = 4.20 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
- 5Multiple 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 +XA displacement vector points in a direction of θ = 23° left of the positive y-axis. The magnitude of this vector is D = 155 m. Refer to the figure. Enter an expression for the x-component vector, Dx, in terms of D, θ, and the unit vectors i and j.
- 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 = 2.90 km, B = 4.90 km, and C= 5.30 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 i 6.67 (b) Number 21.29 Units Units 0 0 23.0 7 B km + Finish- B 35.0 X 40.0° StartMultiple 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 +XThe 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