Multiple ChoiceLet A⇀=i^+2.0j^, B⇀=−7.0i^, and C⇀=3.0i^+j^. What is the direction of A⇀+B⇀+C⇀? Express your answer in degrees counter clockwise from the positive x axis.225views
Multiple ChoiceLet A⇀=i^+2.0j^, B⇀=−7.0i^, and C⇀=3.0i^+j^. What is the magnitude of A⇀+B⇀+C⇀?206views
Textbook QuestionA postal employee drives a delivery truck over the route shown in Fig. E1.25. 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 displacement found from your diagram is in qualitative agreement with the result you obtained by using the method of components. 2147views1rank1comments
Textbook QuestionFor the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of (d) the vector difference B - A 1110views
Textbook QuestionFor the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of (c) the vector difference A - B 1640views
Textbook QuestionFor the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of (a) the vector sum A + B 950views
Textbook QuestionFIGURE P3.43 shows three ropes tied together in a knot. One of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force. How hard and in what direction must you pull on the third rope to keep the knot from moving? Give the direction as an angle below the negative x-axis. 1080views
Textbook QuestionA position vector in the first quadrant has an x-component of 6 m and a magnitude of 10 m. What is the value of its y-component?317views
Textbook QuestionA velocity vector 40 degrees below the positive x-axis has a y-component of -10 m/s. What is the value of its x-component?424views
Textbook QuestionThe bacterium E. coli is a single-cell organism that lives in the gut of healthy animals, including humans. When grown in a uniform medium in the laboratory, these bacteria swim along zig-zag paths at a constant speed of 20 μm/s. FIGURE P3.42 shows the trajectory of an E. coli as it moves from point A to point E. What are the magnitude and direction of the bacterium's average velocity for the entire trip? 1014views
Textbook QuestionFIGURE P3.26 shows vectors A and B. Find D = 2A +B Write your answer in component form. 499views
Textbook QuestionRuth sets out to visit her friend Ward, who lives 50 mi north and 100 mi east of her. She starts by driving east, but after 30 mi she comes to a detour that takes her 15 mi south before going east again. She then drives east for 8 mi and runs out of gas, so Ward flies there in his small plane to get her. What is Ward's displacement vector? Give your answer (a) in component form, using a coordinate system in which the y-axis points north, and (b) as a magnitude and direction.976views
Textbook QuestionWhile vacationing in the mountains you do some hiking. In the morning, your displacement is Sₘₒᵣₙᵢₙ₉ = (2000 m, east) + (3000 m, north) +(200 m, vertical). Continuing on after lunch, your displacement is Sₐբₜₑᵣₙₒₒₙ = (1500 m, west) + (2000 m, north) ─ (300 m, vertical). b. What is the magnitude of your net displacement for the day?258views
Textbook QuestionWhile vacationing in the mountains you do some hiking. In the morning, your displacement is Sₘₒᵣₙᵢₙ₉ = (2000 m, east) + (3000 m, north) +(200 m, vertical). Continuing on after lunch, your displacement is Sₐբₜₑᵣₙₒₒₙ = (1500 m, west) + (2000 m, north) ─ (300 m, vertical). a. At the end of the hike, how much higher or lower are you compared to your starting point?266views
Textbook QuestionA runner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. Let a coordinate system have its origin at the center of the circle with the x-axis pointing east and the y-axis north. The runner starts at (x,y) = (50m, 0m) and runs 2.5 times around the track in aclockwise direction. What is his displacement vector? Give your answer as a magnitude and direction.330views
Textbook QuestionA crate, seen from above, is pulled with three ropes that have the tensions shown in FIGURE P3.44. Tension is a vector directed along the rope, measured in newtons (abbreviated N). Suppose the three ropes are replaced with a single rope that has exactly the same effect on the crate. What is the tension in this rope? Write your answer in component form using unit vectors. 514views
Textbook QuestionDraw each of the following vectors, label an angle that specifies the vector's direction, then find its magnitude and direction. (b) r = (-2.0i - 1.0j) cm267views
Textbook QuestionDraw each of the following vectors, label an angle that specifies the vector's direction, then find its magnitude and direction. (a) B = -4.0i + 4.0j181views
Textbook QuestionDraw each of the following vectors, label an angle that specifies the vector's direction, and then find the vector's magnitude and direction. (c) v = (14i - 11j) m/s189views
Textbook QuestionDraw each of the following vectors, label an angle that specifies the vector's direction, and then find the vector's magnitude and direction. (a) A = 3.0i + 7.0j323views
Textbook QuestionLet A = (3.0 m, 20° south of east), B = (2.0 m, north), and C = (5.0 m, 70° south of west). c. Find the magnitude and the direction of D = A+B+C.258views
Textbook QuestionLet A = 4i - 2j, B = -3i + 5j, and F = A - 4B. (a) Write vector F in component form.240views
Textbook QuestionLet A = 4i - 2j, B = -3i + 5j, and E = 2A + 3B. (c) What are the magnitude and director of vector E?236views
Textbook QuestionLet A = 4i - 2j, B = -3i + 5j, and C = A + B. (c) What are the magnitude and director of vector C?189views
Textbook QuestionFour forces are exerted on the object shown in FIGURE P3.45. (Forces are measured in newtons, abbreviated N.) The net force on the object is Fₙₑₜ = F₁ + F₂ + F₃ + F₄ = 4.0î N. What are (a) F₃ and (b) F₄? Give your answers in component form. 393views
Textbook QuestionLet A = 4i - 2j, B = -3i + 5j, and F = A - 4B. (c) What are the magnitude and director of vector F?196views
Textbook QuestionLet A = 4i - 2j, B = -3i + 5j, and C = A + B. (a) Write vector C in component form.166views
Textbook Question(II) For the vectors shown in Fig. 3–41, determine (b) 2 A (→ above A) ― 3 B (→ above B) + 2 C (→ above C) , and191views
Textbook Question(II) Three vectors are shown in Fig. 3–41. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in terms of (a) components, (b) magnitude and angle with the +𝓍 axis.<IMAGE>220views
Textbook Question(II) Figure 3–39 shows two vectors, A (→ above A) and B (→ above B) , whose magnitudes are A = 6.8 units and B = 5.5 units. Determine C (→ above C) if(a) C(→ above C) = A (→ above A) + B (→ above B) , Give the magnitude and direction for each.<IMAGE>258views
Textbook QuestionLet A = 4i - 2j, B = -3i + 5j, and F = A - 4B. (b) Draw a coordinate system and on it show vectors A, B, and F151views
Textbook QuestionDraw each of the following vectors, label an angle that specifies the vector's direction, then find its magnitude and direction. (d) a = (20i + 10j) m/s^2162views
Textbook QuestionThe minute hand on a watch is 2.0 cm in length. What is the displacement vector of the tip of the minute hand in each case? Use a coordinate system in which the y-axis points toward the 12 on the watch face. a. From 8:00 to 8:20 a.m.184views
Textbook QuestionFIGURE P3.46 shows four electric charges located at the corners of a rectangle. Like charges, you will recall, repel each other while opposite charges attract. Charge B exerts a repulsive force (directly away from B) on charge A of 3.0 N. Charge C exerts an attractive force (directly toward C) on charge A of 6.0 N. Finally, charge D exerts an attractive force of 2.0 N on charge A. Assuming that forces are vectors, what are the magnitude and direction of the net force Fₙₑₜ exerted on charge A?154views
Textbook QuestionThe minute hand on a watch is 2.0 cm in length. What is the displacement vector of the tip of the minute hand in each case? Use a coordinate system in which the y-axis points toward the 12 on the watch face. b. From 8:00 to 9:00 a.m.144views