CHAPTER 3 Vectors68Example 3.3 The Sum of Two VectorsFind the sum of two vectors A and B lying in the xy planeand given byA = (2.01 + 2.0j) mB = (2.0î – 4.0j)and%3Dות%3DSolution You may wish to draw the vectors to conceptualizethe situation. We calegorize this as a simple plug-in problem.Comparing this expression for A with the general expres-sion A = A, i + A,j, we see that ALikewise, B = 2.0 m and B, = - 4.0 m. We obtain the resul-tant vector R, using Equation 3.14:2.0 m and A, = 2.0 m.%3D%3DR = A + B = (2.0 + 2.0)î m + (2.0 – 4.0)j m= (4.0i – 2.0j) norR= 4.0 mR, = - 2.0 m%3D

Answered: Image /qna-images/answer/a4f1367e-8503-47fd-9f91-7152a3c4ce2f.jpg

Answered: Find the sum of two vectors A and B…

Science

Physics

Find the sum of two vectors A and B lying in the xy plane and given by A = (2.01 + 2.0j) m B = (2.0î – 4.0j) m and %3D

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 25P: Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have...

See similar textbooks

Similar questions

The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42
Peter throws a baseball through a houses window. He stands 3.4 m from the window. The ball starts in his hand 1.1m above the ground and goes through the window at a point 2.4 m off the ground. a. Sketch the problem, including an xy coordinate system with the origin on the ground directly below the initial position of the ball, the y axis pointing upward, and the x axis pointing toward the house. b. What are the initial and final coordinates of the ball?
Figure P3.60 illustrates the difference in proportions between the male (m) and female (f) anatomies. The displacements d1m. and d1f from the bottom of the feet to the navel have magnitudes of 104 cm and 84.0 cm, respectively. The displacements d2m and d2f have magnitudes of 50.0 cm and 43.0 cm, respectively. (a) Find the vector sum of the displacements dd1 and dd2 in each case. (b) The male figure is 180 cm tall, the female 168 cm. Normalize the displacements of each figure to a common height of 200 cm and re-form the vector sums as in part (a). Then find the vector difference between the two sums. Figure P3.60
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s leaves the end of a horizontal channel at the top of a vertical wall h = 2.35 m high and falls into a pool (Fig. P3.54). (a) How far from the wall will the water land? Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.54
Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have magnitudes of 3.00 m and vector A makes an angle of = 30.0 with the x axis. Express the resultant A+B in unit-vector notation.
A snow-covered ski slope makes an angle of 35.0 with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.50 m at 16.0 from the vertical in the uphill direction as shown in Figure P3.16. Find the components of its maximum displacement (a) parallel to the surface and (b) perpendicular to the surface. Figure P3.16
Hi there, I don't know how to do this. Can someone please help show me and walk me through it? Thank you! Two vectors A and B are at right angles to each other. The magnitude of A is 5.00. What should be the length of B so that the magnitude of their vector sum is 6.00?
1. Let θ be the angle that the vector ? makes with the +x-axis, measured counterclockwise from that axis. Find angle θ for a vector that has these components: (a) Ax = 2m, Ay = -1m; (b) Ax = 2m, Ay = 1m; (c) Ax = -2m, Ay = 1m; Ax = -2m, Ay = -1m.
Graphical drafting programs, like AutoCAD, will graph and add vectors, showing the resultant and providing its coordinates. Is AutoCAD adding the vectors graphically and measuring the resultant, or is it adding the vectors algebraically and graphing the resultant? Why?
A word on notation:So far we have been expressing vectors and their components as ~v = ~vx + ~vy. This notation isacceptable but you may run into something that looks like this: ~v = 〈vx, vy〉. This notation ismore formal, but accomplishes the same thing. In this new notation, the wolf problem abovewould look like this:Σ ~F = 〈ΣFx, ΣFy〉= 〈F1x + F2x + F3x + F4x, F1y + F2y + F3y + F4y〉In place of all of the Fix and Fiy ’s, you would put the numbers you found in the problem andcalculate the same way.
1. An archer shots an arrow with an initial speed of 60.0 m/s at an angle of 30.0° with the archer's hand and the horizontal. If the archer is standing from the edge of 90.0 m tall building, then strikes a target on the ground. Note: The distance of the archer's hand with respect to the edge of the building is 5.0m. Neglect air resistance. Let the archer's hand be y=0. Find: a. The time taken by the arrow to hit the target at the ground level. b. The distance of the target from the base of the tall building. c. The maximum height reached by the arow with respect to the archer's hand. d. The horizontal and the vertical component of the arow's velocity just as it strike the target. e. The magnitude of the velocity and the direction of the arow just as it strike the target.
I'm just starting out in physics and I don't really understand exactly what they're asking. How can the y-component be zero? I'm not good with vectors.