Phys 101 College Physics I ` Student Name: Additional Exercises on Chapter 3

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1 Phys 0 College Physics I ` Student Name: Additional Exercises on Chapter ) A displacement vector is.0 m in length and is directed 60.0 east of north. What are the components of this vector? Choice Northward component Eastward component 9. m 8. m. m 7.0 m.6 m 7.0 m 8. m. m 9. m 6. m A) Choice B) Choice C) Choice D) Choice E) Choice ) A vector A has components Ax = m and Ay =.0 m. What is the magnitude of vector A? A) m B) 60 m C) 69 m D) 7.0 m E) 7 m ) A vector is located in the x-y plane. The x and y components of this vector are.00 m and.00 m, respectively. Find the angle that this vector makes with the positive y-axis. A) 6.9 B). C) 8.6 D). E) 6.9 ) A spider crawls.7 m at an angle of north of east. Another spider crawls. m at an angle of east of north. The eastward displacements of the spiders are, respectively, A).9 m and.8 m. B).9 m and. m. C). m and. m. D).7 m and. m. E). m and.8 m. ) Person A walks 6.0 m at an angle of 0 north of east. Person B walks 7.0 m at an angle of west of north. How does the component of the displacement of person A along the north direction compare with the component of the displacement of person B along the north direction? A) They are equal. B) It is smaller. C) It is larger. D) There is not sufficient information to tell. 6) Vector A has a magnitude of 6.0 m and is pointing eastward. It is rotated counterclockwise by an angle of 0.0. The component of this vector along west is A).0 m. B).7 m. C). m. D) 8.7 m. E).0 m.

2 7) A car goes 8 km north, km west and km south. How much has the car been displaced north and east? Choice North km East km A) Choice B) Choice C) Choice D) Choice E) Choice 8) Vector M =.00 m points eastward and vector N =.00 m points northward. The resultant vector M + N is given by A).00 m at an angle. north of east. B).00 m at an angle 6.9 north of east. C).00 m at an angle 7.6 north of east. D).00 m at an angle 6.6 north of east. E).00 m at an angle 8. north of east. 9) Vector M =.0 m points eastward and vector N =.0 m points westward. The resultant vector M + N is given by A).0 m west. B) 7.0 m east. C) 7.0 m west. D).0 m east. E). m west. 0) The components of vectors M and N are as follows: M (, -) and N (, ). The components of the resultant vector M - N are given by A) (0, ). B) (, ). C) (-, -). D) (, -). E) (-,) ) Vector A = 6.0 m and points 0 north of east. Vector B =.0 m and points 0 west of north. The resultant A). m at an angle 6 east of north. B) 9.8 m at an angle 6 east of north. C). m at an angle 6 north of east. D) 9.8 m at an angle 6 north of east. E) 7. m at an angle 6 east of north.

3 ) Vector A = 6.0 m and points 0 north of east. Vector B =.0 m and points 0 south of west. The resultant A) 0.0 m at an angle 60 north of east. B).0 m at an angle 0 north of east. C) 0.0 m at an angle 60 east of north. D).0 m at an angle 60 north of east. E) 0.0 m at an angle 0 north of east. ) Vector A = 6.0 m and points 0 south of east. Vector B =.0 m and points 0 east of south. The resultant A).7 m at an angle south of east. B) 9.7 m at an angle south of east. C) 0.7 m at an angle south of east. D).7 m at an angle south of east. E). m at an angle south of east. ) Vector A= 6.0 m and points 0 south of east. Vector B =.0 m and points 0 north of west. The resultant A).0 m at an angle 0 east of south. B).0 m at an angle 0 south of east. C) 0.0 m at an angle 60 east of south. D).0 m at an angle 60 south of east. E) 0.0 m at an angle 0 south of east. ) Vector A = 6.0 m and points 0 east of south. Vector B =.0 m and points 0 west of north. The resultant A) 0.0 m at an angle 60 east of south. B).0 m at an angle 0 north of west. C).0 m at an angle 0 east of south. D) 0.0 m at an angle 60 north of west. E).0 m at an angle 60 north of west

4 Figure - 6) Refer to Figure - The magnitudes of the forces as shown in the figure are: F = 80.0 N, F = 60.0 N, and F = 0.0 N. The resultant force acting on the particle O is given by A) 0.0 N at an angle 60.0 with respect to +x-axis. B) 60.0 N at an angle 90.0 with respect to +x-axis. C) 80 N at an angle 60.0 with respect to +x-axis. D). N at an angle. with respect to +x-axis. E) 0.0 N at an angle. with respect to +x-axis. Figure - 7) Refer to Figure -. The sum of these vectors is given by A).0 cm along -x-axis. B).0 cm above +x-axis. C).0 cm along +y-axis. D).0 cm along -y-axis. E).0 cm along +x-axis.

5 Figure -6 8) Refer to Figure -6. The magnitudes of the vectors shown in the figure are A = 7.0 cm, B = 6.0 cm, and C =.0 cm. The components of the resultant vector are given by Choice x-component cm y-component cm A) Choice B) Choice C) Choice D) Choice E) Choice Figure -7 9) The magnitudes of the four vectors shown in Figure -7 are given as follows: A =.0 m, B = 0.0 m, C = 8.0 m, and D =.0 m. The sum of these four vectors is A) 6. m at an angle 77.8 with respect to +x-axis. B) 6. m at an angle. with respect to +x-axis. C) 8.0 m at an angle 77.8 with respect to +x-axis. D) 9. m at an angle 77.8 with respect to +x-axis. E) 9. m at an angle. with respect to +x-axis.

6 Figure -8 0) Refer to Figure -8. The sum of these vectors is given by A) -. cm at an angle +0. with respect to +x-axis. B).7 cm at an angle -0. with respect to +x-axis. C) -.7 cm at an angle 9.9 with respect to +x-axis. D). cm at an angle 9. with respect to +x-axis. E).7 cm at an angle 9. with respect to +x-axis. Figure -9 ) Refer to Figure -9 The sum of these vectors is given by A). cm at an angle 80 with respect to +x-axis. B). cm along the negative y-axis. C). cm at an angle 70 with respect to +x-axis. D). cm along the x-axis. E). cm along the y-axis. ) A boy jumps at a speed of 6.0 m/s at an angle of 0.0 above the horizontal. How long does he stay in the air before touching the ground? A). s B) 0.6 s C). s D).07 s E). s 6

7 ) A car moves from the point (.0 m)x^ + (.0 m)y^ to the point (8.0 m)x^ - (7.0 m)y^ in.0 s. What is the direction of the average velocity of the car? A) from the x-axis B) from the x-axis C) - from the x-axis D) -67 from the x-axis E) 67 from the x-axis ) A car is moving with a velocity (.0 m/s)x^ + (.0 m/s)y^and.0 seconds later its velocity is (6.0 m/s)x^ - (.0 m/s) y^. What is the direction of the average acceleration of the car? A) - from the x-axis B) -67 from the x-axis C) 67 from the x-axis D) 60 from the x-axis E) from the x-axis ) A plane is headed eastward at a speed of 6 m/s. A 0.0 m/s wind is blowing southward at the same time as the plane is flying. The velocity of the plane relative to the ground is A) 7 m/s at an angle 7. east of south. B) m/s at an angle 7.6 east of south. C) m/s at an angle 7.6 south of east. D) 7 m/s at an angle 7. south of east. E) 7 m/s at an angle 7.6 south of east. 7