COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 3, Problem 37QAP
To determine
The magnitude of the vector
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Q4) Let vector A = 2i+3j , vector B =
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2i-2j, and vector C = (-A) - (2B). (a)
Write vector C in component form.
(b) Draw a coordinate system and on
it show the three vectors (A, B and C).
(c) what are the magnitude and
* ?direction of vector C
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Q3) Let vector A = 5i +2j, Vector B =
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-3i -5j, and vector C = A+ B. (a) Write
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vector C in component form. (b) Draw
a coordinate system and on it show
the all vectors. (c) What are the
?magnitude and direction of vector C
7. Using components,
determine the total
displacement from the following individual
displacements: Ad, = 2.5 m [W 30.0° S],
Ad₂ = 3.6 m [S], and Ad,= 4.9 m [E 38.0° S]. U TA
8. A boat travelling on the St. Lawrence River moves
2.70 km [E 25.0° N] and then changes direction
and moves 4.80 km [E 45.0° S]. Determine
(a) the components of the total displacement
and (b) the total displacement of the boat. ™
Chapter 3 Solutions
COLLEGE PHYSICS
Ch. 3 - Prob. 1QAPCh. 3 - Prob. 2QAPCh. 3 - Prob. 3QAPCh. 3 - Prob. 4QAPCh. 3 - Prob. 5QAPCh. 3 - Prob. 6QAPCh. 3 - Prob. 7QAPCh. 3 - Prob. 8QAPCh. 3 - Prob. 9QAPCh. 3 - Prob. 10QAP
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- (a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0° north of east (which is equivalent to subtracting B from A that is, to finding R=AB ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° south of west and then 12.0 m in a direction 20.0° east of south (which is equivalent to subtracting A from B that is, to finding R=BA=R ). Show that this is the case.arrow_forwardSuppose you add two vectors A and B. What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction them produces the resultant with the smallest magnitude? What is the minimum magnitude?arrow_forwardIf two vectors are equal, what can you say about their components? What can you say about their magnitudes? What can you say about their directions?arrow_forward
- Suppose you first walk 12.0 m in a direction 20° west of north and then 20.0 m in a direction 40.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.56, then this problem finds their sum R=A+B. )arrow_forwardUse 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.arrow_forwardSuppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B as in Figure 3.55, then this problem asks you to find their sum R=A+B .)arrow_forward
- The displacement vectors A and B shown in Figure P3.9 both have magnitudes of 3.00 m. The direction of vector A is = 30.0. Find graphically (a) A+B, (b) AB, (c) BA, and (d) A2B. (Report all angles counterclockwise from the positive x axis.)arrow_forwardThe 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_forwardGiven the vectors A=2.00i+6.00j and B=3.00i2.00j, (a) draw the vector sum C=A+B and the vector difference D=AB. (b) Calculate C and D, in terms of unit vectors, (c) Calculate C and D in terms of polar coordinates, with angles measured with respect to the positive x axis.arrow_forward
- Q3/ A/ Let a=3i+2j and b-j+2k a. Find a unit vector n that is orthogonal to both a and b. b. Express a Xb in terms of la X b| and n. Q3/B/ Find the distance from the point to the plane (0, 1, 1), 4y + 3z = -12arrow_forwardE. (-4m)i+ (7m)j ans: A 24. In the diagram, A has magnitude 12 m and B has magnitude 8 m. The a component of Ã+ B is about: 60° 45° A. 5.5 m B. 7.6 m C. 12 m D. 14 m E. 15 m ans: C 25. A certain vector in the ry plane has an x component of 4 m and a y component of 10 m. It is then rotated in the ry plane so its x component is doubled. Its new y component is about: А. 20 m В. 7.2 m C. 5.0m D. 4.5 m E. 2.2 m ans: B 26. Vectors à and B each have magnitude L. When drawn with their tails at the same point, the angle between them is 30°. The value of A ·B is: А. zero В. L? C. V3L2/2 D. 2L2 E. none of these ans: C 32 Chapter 3: VECTORSarrow_forwardCHAPTER 3 Vectors 68 Example 3.3 The Sum of Two Vectors 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) and %3D ות %3D Solution You may wish to draw the vectors to conceptualize the 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 A Likewise, 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 %3D R = A + B = (2.0 + 2.0)î m + (2.0 – 4.0)j m = (4.0i – 2.0j) n or R= 4.0 m R, = - 2.0 m %3Darrow_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