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ethod of components. using 1.29 For the vectors A and B in Fig. E1.22, use the method of components to find the magnitude and direction of (a) the vector sum A + B; (b) the vector sum B + A; (c) the vector difference A - B; (d) the vector difference B - A.

ethod of components. using 1.29 For the vectors A and B in Fig. E1.22, use the method of components to find the magnitude and direction of (a) the vector sum A + B; (b) the vector sum B + A; (c) the vector difference A - B; (d) the vector difference B - A.

College Physics
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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Question 1.29 : For the vectors A and B in Fig. E1.22, use the method of components to find the magnitude and direction of (a) the vector sum vec A + vec B (b) the vector sum by vec B + vec A ; (c) the vector difference vec A - vec B (d) the vector difference vec B - vec A 1 . vec B
1.7 Vectors and Vector Addition A postal employee drives a delivery truck along the route Fig. E1.21. Determine the magnitude and direction of the isplacement by drawing a scale diagram. (See also Exercise different approach.) 21 RT 4.0 km vectors A and B e a scale drawing ude and direction mA + B and (b) ce A - B. Use d the magnitude - A - B and o Exercise 1.29 ch.) r is surveying a passage 180 210 m in a di- th, and then orth. After a 3.1 km Top STOP 45° C (12.0 m) N W-E S omo (11 Figure E1.22 25.0° Ď (10.0 m) Jad badydo adi mol B (15.0 m) 19rate odio 53.00 30.0° 1.10 ICA A 1119 0 A (8.00 m) he finds her- ted. Use a scale drawing to determine the mag- he fourth displacement. (See also Problem 1.57 O s of Vectors ngle that the vector A makes with the +x- ockwise from that axis Find angle A for a 1.29- compe A+L (d) th 1.30 the (b) 1.3 2. ti a F
Transcribed Image Text:1.7 Vectors and Vector Addition A postal employee drives a delivery truck along the route Fig. E1.21. Determine the magnitude and direction of the isplacement by drawing a scale diagram. (See also Exercise different approach.) 21 RT 4.0 km vectors A and B e a scale drawing ude and direction mA + B and (b) ce A - B. Use d the magnitude - A - B and o Exercise 1.29 ch.) r is surveying a passage 180 210 m in a di- th, and then orth. After a 3.1 km Top STOP 45° C (12.0 m) N W-E S omo (11 Figure E1.22 25.0° Ď (10.0 m) Jad badydo adi mol B (15.0 m) 19rate odio 53.00 30.0° 1.10 ICA A 1119 0 A (8.00 m) he finds her- ted. Use a scale drawing to determine the mag- he fourth displacement. (See also Problem 1.57 O s of Vectors ngle that the vector A makes with the +x- ockwise from that axis Find angle A for a 1.29- compe A+L (d) th 1.30 the (b) 1.3 2. ti a F
1.26 Vector A is in the direction 34.0° clockwise from the -y-axis. The x-component of A is Ax = -16.0 m. (a) What is the y-component of A? (b) What is the magnitude of A? 1.27 Vector A has y-component Ay = +9.60 m. A makes an angle of 32.0° counterclockwise from the +y-axis. (a) What is the x-component of A? (b) What is the magnitude of A? 1.28 A postal employee drives a delivery truck over the route shown in Fig. E1.21. Use the method of components to determine the magnitude and direction of her resultant displacement. In a vector- addition diagram (roughly to scale), show that the resultant displace- ment found from your diagram is in qualitative agreement with the result you obtained by using the method of components. 1.29 For the vectors A and B in Fig. E1.22, use the method of components to find the magnitude and direction of (a) the vector sum A + B; (b) the vector sum B + A; (c) the vector difference A - B; (d) the vector difference B - A. 1.30 Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = -8.60 cm, Ay = 5.20 cm; (b) Ax = -9.70 m, A, = -2.45 m; (c) Ax = 7.75 km, Ay = -2.70 km. 1.31 A disoriented physics professor drives 3.25 km north, then 2.20 km west, and then 150 km south. Find the magnitude and direc- tion of the resultant displacement, using the method of components. In a vector-addition diagram (roughly to scale), show that the resultant dis- placement found from your diagram is in qualitative agreement with the result you obtained by using the method of components. 1.32 Vector A has magnitude 8.00 m and is in the xy-plane at an angle of 127° counterclockwise from the +x-axis (37° past the +y-axis). What are the magnitude and direction of vector B if the sum A + B is in the -y-direction and has magnitude 12.0 m? 1.33 Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant (Fig. E1.33). Use components to find the magnitude and direction of (a) A + B; (b) A - B; (c) B - A. In each case, sketch the vector addition or subtraction and show that your numerical answers sketch. are in qualitative agreement with your 1.37 C in Fig. E vectors î tors to e C = 3.00 magnitud 1.38 - tors A B = 7.00 terclock (a) What +x-axis is the su the +x-a 1.39. B = 3.0 (b) use A - B this the Section 1.40 Exerci 1.41 ucts (a 1.42 the tv vecto 1.43 (a) A (b) F (c) r 1.44 recti 1.45 and
Transcribed Image Text:1.26 Vector A is in the direction 34.0° clockwise from the -y-axis. The x-component of A is Ax = -16.0 m. (a) What is the y-component of A? (b) What is the magnitude of A? 1.27 Vector A has y-component Ay = +9.60 m. A makes an angle of 32.0° counterclockwise from the +y-axis. (a) What is the x-component of A? (b) What is the magnitude of A? 1.28 A postal employee drives a delivery truck over the route shown in Fig. E1.21. Use the method of components to determine the magnitude and direction of her resultant displacement. In a vector- addition diagram (roughly to scale), show that the resultant displace- ment found from your diagram is in qualitative agreement with the result you obtained by using the method of components. 1.29 For the vectors A and B in Fig. E1.22, use the method of components to find the magnitude and direction of (a) the vector sum A + B; (b) the vector sum B + A; (c) the vector difference A - B; (d) the vector difference B - A. 1.30 Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = -8.60 cm, Ay = 5.20 cm; (b) Ax = -9.70 m, A, = -2.45 m; (c) Ax = 7.75 km, Ay = -2.70 km. 1.31 A disoriented physics professor drives 3.25 km north, then 2.20 km west, and then 150 km south. Find the magnitude and direc- tion of the resultant displacement, using the method of components. In a vector-addition diagram (roughly to scale), show that the resultant dis- placement found from your diagram is in qualitative agreement with the result you obtained by using the method of components. 1.32 Vector A has magnitude 8.00 m and is in the xy-plane at an angle of 127° counterclockwise from the +x-axis (37° past the +y-axis). What are the magnitude and direction of vector B if the sum A + B is in the -y-direction and has magnitude 12.0 m? 1.33 Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant (Fig. E1.33). Use components to find the magnitude and direction of (a) A + B; (b) A - B; (c) B - A. In each case, sketch the vector addition or subtraction and show that your numerical answers sketch. are in qualitative agreement with your 1.37 C in Fig. E vectors î tors to e C = 3.00 magnitud 1.38 - tors A B = 7.00 terclock (a) What +x-axis is the su the +x-a 1.39. B = 3.0 (b) use A - B this the Section 1.40 Exerci 1.41 ucts (a 1.42 the tv vecto 1.43 (a) A (b) F (c) r 1.44 recti 1.45 and
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