Problem 1CQ: Can the magnitude of the displacement vector be more than the distance travelled? Less than the... Problem 2CQ: If C=A+B, can C = A + B? Can C>A + B? For each, show how or explain why not. Problem 3CQ: If C=A+B can C = 0? Can C< O? For each, show how or explain why not. Problem 4CQ: Is it possible to add a scalar to a vector? If so, demonstrate. If not, explain why not. Problem 5CQ: How would you define the zero vector ? Problem 6CQ: Can a vector have a component equal to zero and still have nonzero magnitude? Explain. Problem 7CQ: Can a vector have zero magnitude if one of its components is nonzero? Explain. Problem 8CQ: Suppose two vectors have unequal magnitudes. Can their sum be zero? Explain. Problem 9CQ: Are the following statements true or false? Explain your answer. a. The magnitude of a vector can be... Problem 1EAP: I. Trace the vectors in FIGURE EX3.1 onto your paper. Then find A+B and (b) AB Problem 2EAP: Trace the vectors in FIGURE EX3.2 onto your paper. Then find (a) A+B and (b) AB Problem 3EAP: a. What are the x- and v-components of vector E shown in FIGURE EX3.3 in terms of the angle and the... Problem 4EAP: A velocity vector 40° below the positive x-axis has a y-component of -10 m/s. What is the value of... Problem 5EAP: A position vector in the first quadrant has an x-component of 6m and a magnitude of 10 m. What is... Problem 6EAP: Draw each of the following vectors. Then find its x- and y- components. a. a = (3.5 m/s2, negative... Problem 7EAP: Draw each of the following vectors. Then find its x- and y- components. a. v = (7.5 m/s, 300... Problem 8EAP: Let C = (3.15 m, 15° above the negative x-axis) and D = (25.6 m. 30° to the right of the negative y... Problem 9EAP: A runner is training for an upcoming marathon by running around a 100-m-diameter circular track at... Problem 10EAP: Draw each of the following vectors, label an angle that specifies the vector’s direction, then find... Problem 11EAP: Draw each of the following vectors, label an angle that specifies the vector’s direction, and then... Problem 12EAP: Let a. Write Vector Cin component form. b. Draw a coordinate system and on it show vectors A,B and... Problem 13EAP: a. Write vector Cin component form. b. Draw a coordinate system and on it show vectors A,B,and C. c.... Problem 14EAP: a. Write vector Din component form. b. Draw a coordinate system and on it show vectors A,B and D .... Problem 15EAP: Let A = 4î - 2j, B = -3î + 5j, and E = 2 A + 3 B .a. Write vector E in component form. b. Draw a... Problem 16EAP: Let A = 41 - 2j, B = -3î + 5j, and F = A -4 B . a. Write vector F in component form. b. Draw a... Problem 17EAP: 17. Let = 2î + 3? and = 2î — 2?. Find the magnitude of
a. and b. + c. --2
Problem 18EAP Problem 19EAP: 19. What are the x– and y- components of the velocity vector shown in FIGURE EXE 3.19?
Problem 20EAP: 20. For the three vectors shown Figure EX3.20, + + =1?. What is vector ?
a. Write in component... Problem 21EAP Problem 22EAP: 22. Let = (3.0 m, 20° south of east), = (2.0 m, north), and = (5.0 m, 70° south of west).
a. Draw... Problem 23EAP: The position of a particle as a function of time is given by r = (5.0î + 4.0j)t 2 m, where t is in... Problem 24EAP: a. What is the angle between vectors E and F in FIGURE P3.24? b. Use geometry and trigometry to... Problem 25EAP: FIGURE P3.25 shows vectors A and B . Find vector C such that A+B+C=O . Write your answer in... Problem 26EAP Problem 27EAP Problem 28EAP Problem 29EAP: The minute hand on a watch is 2.0 cm in length. What is the displacement vector of the tip of the... Problem 30EAP Problem 31EAP: Ruth sets out to visit her friend Ward, who lives 50 ml north and 100 ml east of her. She starts by... Problem 32EAP: A cannon tilted upward at 30° fires a cannonball with a speed of 100 m/s. What is the component of... Problem 33EAP Problem 34EAP Problem 35EAP: A pine cone falls straight down from a pine tree growing on a 20° slope. The pine cone hits the... Problem 36EAP Problem 37EAP Problem 38EAP: Your neighbor Paul has rented a truck with a loading ramp. The ramp is tilted upward at 25°, and... Problem 39EAP: Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.5 m... Problem 40EAP: The treasure map in FIGURE P3.40 gives the following directions to the buried treasure: “Start at... Problem 41EAP: The bacterium E. coli is a single-cell organism that lives in the gut of healthy animals, including... Problem 42EAP: A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by... Problem 43EAP: FIGURE P3.43 shows three ropes tied together in a knot. One of your friends pulls on a rope with 3.0... Problem 44EAP: I Four forces are exerted on the object shown in FIGURE P3.44. (Forces are measured in newtons,... Problem 45EAP: FIGURE P3.45 shows four electric charges located at the corners of a rectangle. Like charges, you... format_list_bulleted