Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 11EAP
Draw each of the following vectors, label an angle that specifies the vector’s direction, and then find the vector’s magnitude and direction.
a.
b.
c.
d.
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consider the following vectors below:1. which of the following statements is false?a. A x (B+C) = A x B + A x Cb. A x B = B x Ac. A • B = B • Ad. A • (B+C) = A • B + A • C2. Solve (A x B) • C
The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified.
A. What is the xcomponent of A→?
B.What is the y component of A⃗ ?
C.What is the y component of B⃗ ?
D.What is the x component of C⃗ ?
E. In ordered pair notation, write down the components of vector B⃗
F. In ordered pair notation, write down the components of vector D
G.What is true about B⃗ and D⃗ ?
They have different components and are not the same vectors.
They have the same components but are not the same vectors.
They are the same vectors.
Question: The polar coordinates of a point are 50m and . Then, what are its Cartesian
coordinates?
A. 2.75i+ 4.763j m,
B. -2.75i- 4.763j m,
C. 2.75i - 4.763j m,
D. 4.763j m,
E. -2.75i + 4.763j m,
Chapter 3 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 3 - Can the magnitude of the displacement vector be...Ch. 3 - If C=A+B, can C = A + B? Can C>A + B? For each,...Ch. 3 - If C=A+B can C = 0? Can C< O? For each, show how...Ch. 3 - Is it possible to add a scalar to a vector? If so,...Ch. 3 - How would you define the zero vector ?Ch. 3 - Can a vector have a component equal to zero and...Ch. 3 - Can a vector have zero magnitude if one of its...Ch. 3 - Suppose two vectors have unequal magnitudes. Can...Ch. 3 - Are the following statements true or false?...Ch. 3 - I. Trace the vectors in FIGURE EX3.1 onto your...
Ch. 3 - Trace the vectors in FIGURE EX3.2 onto your paper....Ch. 3 - a. What are the x- and v-components of vector E...Ch. 3 - A velocity vector 40° below the positive x-axis...Ch. 3 - A position vector in the first quadrant has an...Ch. 3 - Draw each of the following vectors. Then find its...Ch. 3 - Draw each of the following vectors. Then find its...Ch. 3 - Let C = (3.15 m, 15° above the negative x-axis)...Ch. 3 - A runner is training for an upcoming marathon by...Ch. 3 - Draw each of the following vectors, label an angle...Ch. 3 - Draw each of the following vectors, label an angle...Ch. 3 - Let a. Write Vector Cin component form. b. Draw a...Ch. 3 - a. Write vector Cin component form. b. Draw a...Ch. 3 - a. Write vector Din component form. b. Draw a...Ch. 3 - Let A = 4î - 2j, B = -3î + 5j, and E = 2 A + 3 B...Ch. 3 - Let A = 41 - 2j, B = -3î + 5j, and F = A -4 B . a....Ch. 3 - 17. Let = 2î + 3? and = 2î — 2?. Find the...Ch. 3 - Prob. 18EAPCh. 3 - 19. What are the x– and y- components of the...Ch. 3 - 20. For the three vectors shown Figure EX3.20, + +...Ch. 3 - Prob. 21EAPCh. 3 - 22. Let = (3.0 m, 20° south of east), = (2.0 m,...Ch. 3 - The position of a particle as a function of time...Ch. 3 - a. What is the angle between vectors E and F in...Ch. 3 - FIGURE P3.25 shows vectors A and B . Find vector C...Ch. 3 - Prob. 26EAPCh. 3 - Prob. 27EAPCh. 3 - Prob. 28EAPCh. 3 - The minute hand on a watch is 2.0 cm in length....Ch. 3 - Prob. 30EAPCh. 3 - Ruth sets out to visit her friend Ward, who lives...Ch. 3 - A cannon tilted upward at 30° fires a cannonball...Ch. 3 - Prob. 33EAPCh. 3 - Prob. 34EAPCh. 3 - A pine cone falls straight down from a pine tree...Ch. 3 - Prob. 36EAPCh. 3 - Prob. 37EAPCh. 3 - Your neighbor Paul has rented a truck with a...Ch. 3 - Tom is climbing a 3.0-m-long ladder that leans...Ch. 3 - The treasure map in FIGURE P3.40 gives the...Ch. 3 - The bacterium E. coli is a single-cell organism...Ch. 3 - A flock of ducks is trying to migrate south for...Ch. 3 - FIGURE P3.43 shows three ropes tied together in a...Ch. 3 - I Four forces are exerted on the object shown in...Ch. 3 - FIGURE P3.45 shows four electric charges located...
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- Vector F is proportional to vector A such that F=mA and m is a scalar. a. If A=2.4+3.0j and F=4.0+5.0j, what is m? b. Why is it impossible to have A=2.4+3.0j and F=4.0+0.50j, given the relationship between the two vectors?arrow_forwardA point is located in a polar coordinate system by the coordinates r = 2.5 m and = 35. Find the x- and y-coordinates of this point, assuming that the two coordinate systems have the same origin.arrow_forwardFor each of the following velocity vectors, give the vector component, the scalar component, and the magnitude. a. v=35.0jm/s b. vx = 53.0 m/s c. vz = 3.50 m/s d. v=5.30m/sarrow_forward
- 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 P3.42arrow_forwardA Three vectors all have the same magnitude. The symbol for the magnitude of each of these vectors is M. The first vector A points in the positive x direction. The second vector B points in the negative y direction. The third vector C points in the positive z direction. These three vectors added together are equal to a fourth vector D. What is the magnitude of the fourth vector?arrow_forwardPlease explain..cos I have zero cluearrow_forward
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- Please refer to the following vectors:A = 6i + 2j - 3kB = 3i - j - 2kC = -i + j - 4kD = j - 3kE = -i + 2kF = -5kG = 2iH = -3jI = -4i +4j Which of the following pairs of vectors are PERPENDICULAR to each other?I. A and BII. F and GIII. G and HIV. C and I CHOICES OF ANSWERS: I and II II and III II, III, and IV All of them No Answerarrow_forwardGiven two vectors that starts from the origin: A = 2i – 7j and B = I – 3j – 5k. What is the length of vectors AB? a. -i + 4j – 5k b. 3i – 10j – 5k c. 3i + 4j – 5k d. None of the abovearrow_forwardMoving to another question will save this response. Question 6 Given two vectors A = 7i+ 5j - 2k, and B = 3i – 10j + 6k, what is the angle between the two vectors? O A. 112.7° B. 116.3° O C. 118 4° O D. 115° O E. None of these Moving to another question will save this response.arrow_forward
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Introduction to Vectors and Their Operations; Author: Professor Dave Explains;https://www.youtube.com/watch?v=KBSCMTYaH1s;License: Standard YouTube License, CC-BY