DIRECTIONS: Perform addition of vectors through component method. Write your answers on aYELLOW PAPER or BOND PAPER.A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in adirection 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she findsherself back where she started. Use appropriate scale drawing to determine the magnitude anddirection of the fourth displacement. What is the spelunker's displacement?

Answered: Image /qna-images/answer/1b23bb29-972f-4df7-b305-c913b395e86b.jpg

Answered: DIRECTIONS: Perform addition of vectors…

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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The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is deﬁned so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 signiﬁcant ﬁgures.
Let C = A + B. Vector C has a length of 5.00 cm and points north. Vector A has length 2.30 cm and a direction of 58.0 degrees north of east. (Let north = +y and east= +x).a) Draw a vector addition diagram showing C = A + B and label all 3 vectors. Use a straight edge and draw them to scale in cm if possible (you can estimate the angle).b) What is the magnitude of vector B? c) What is the angle of B in degrees west of north? d) Let D = C x A (vector product of C and A). What is the magnitude and direction of vector D?e) What angle (in degrees) does vector E= 2.00i+ 4.00j-3.00k make with the +y axis?
Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 113 m at an angle 30.0° north of east, and finally moves 179 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) Cave entrance W m N E o south of east 8 What is the resultant displacement from the entrance? magnitude direction Final position Q
Given the two vectors A = ( 5.5i - 3j) and B = (-9i - 8j) determine the following: A. Vector C = A + B in vector notation, it's magnitude and its direction counterclockwise from the +x-axis. B. Vector D = A - B in Vector notation, it's magnitude and its direction counterclockwise from the +x-axis.
2D Component Analysis For Vector Addition 2. Perform the following vector operations using component analysis. Recombine the components of the resultant to express the resultant vector in magnitude and direction form. Use the x/y coordinate axes below for your analysis. a) Ad, = 85.0 km [N36.0°W], N, +y Ad2 = 122.0 km [W15.0°S], %3D Adg = Ad, + Adz = ? %3D E, +x Ad, = 370.0 m [S18.0°W], Adr = ad, + Ad, + Ad, = ? b) Ad, = 250.0 m [E], Ad, = 560.0 m [E35.0°S], %3D
Each of the following vectors is given in terms of its x- and y-components. Draw the vector, label an angle that specifies the vector’s direction, then find the vector’s magnitude and direction.a. νx = 20 m/s, νy = 40 m/sb. ax = 2.0 m/s2, ay = -6.0 m/s2
Lab 4: Vectors nitude of 8.4 km and points 2. Components of vectors. The vector in this problem is a velocity vector which starts at the origin, has a magnitude of 11 m/s and has a direction of 135 degrees (measured counter clockwise from the +x axis). a. Using the gridlines below (0.5 cm spacing), draw the vector. This time, choose your own scale factor. Record your scale factor below. Make sure your scale factor is large enough so that your vector takes up most of the space in the diagram. Use a protractor and ruler to make sure your vector has the correct magnitude and direction. b. Draw a dotted line from the tip of the vector to the x axis. Using a ruler, measure the the x component in cm, and use the scale factor to convert to m/s. boltol c. Draw a dotted line from the tip of the vector to the y axis. Using a ruler, measure the the y component, and use the scale factor to convert to m/s. 5
Suppose you walk 14.5 m in a direction exactly 19° south of west then you walk 22 m in a direction exactly 39° west of north. How far are you from your starting point in m? Please explain how you got your answer in detail.
Problem 4: Vectors A, B, and C are shown in Figure 4. The magnitudes of the three vectors are shown in parenthesis. a. What is the resultant vector R = A + B + C? Answer: R= -3.0î + 3.0ĵ b. What is R, the magnitude of R? Answer: R = 4.2 c. What is 8, the angle R makes with respect to the +x-axis? 0 = 180° - 45.0° B (B= 16.2) Figure 4: Vectors for Problem 4. 68.2° A (A = 10.0) 36.9° = 24.0 C(C=9.8) 135.0⁰ X
Starting in Albany, you travel a distance 101 miles in a direction 37.1 degrees north of west. Then, from this new position, you travel another distance 355 miles in a direction 10.2 degrees north of east. In your final position, what is your displacement from Albany? If the correct answer doesn't appear among the choices, choose the answer that has the correct distance and angle, even if the direction reference (north of east or north of west) is incorrect. a. 456 miles 47.3 degrees North of Westb. 246 miles 46.1 degrees North of Westc. 456 miles 47.3 degrees North of Eastd. 296 miles 24.7 degrees North of West
When vectors A and B are added together to form a vector C, the relationship between the magnitude of the vectors is given by A? + B2 = C2. Which statement concerning these vectors is TRUE? O Vector A and B have opposite direction. O Vector A and B have the same direction. O The vectors form a right triangle.. O The vectors form an obtuse triangle.
You drive 7.50 km in a straight line in a direction 25° East of North. a. Find the distances (in km) you would have to drive straight East and then straight North to arrive at the same point. (This is equivalent to finding the components of the displacement along the East and North directions.) b. Show that you still arrive at the same point if the East and North legs are reversed in order.

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