
College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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If the x- & y-components of the Sum vector are 5.1 N and -2.5 N, respectively, the magnitude of the Sum vector (N) is
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- Consider the three displacement vectors A = (4î – 3ĵ) m, B = (9î – 3ĵ) m, and C = (−61 + 5ĵ) m. Use the component method to determine the following. (Take the +x direction to be to the right.) (a) the magnitude and direction of the vector D = A + B + C magnitude m direction P counterclockwise from the +x axis (b) the magnitude and direction of E= -A-B+C magnitude m direction counterclockwise from the +x axisarrow_forwardThe magnitude of A is 5.5. Vector A lies in the second quadrant and forms an angle of 34 degrees with the y-axis. The components, A, and A,, are closest to: O Ą=-3.1, A₂= +4.6 O A₂ = +3.1, A₂ = -4.6 QAx +4.6, Ay = -3.1 O Ą= 4.6, A, - -3.1 O A = 4.6, A, - +3.1arrow_forwardVector C has a magnitude of 22.2 m and points in the −y‑ direction. Vectors A and B both have positive y‑ components, and make angles of α=42.4 and β=26.7 with the positive and negative x- axis, respectively. If the vector sum A+B+C=0 , what are the magnitudes of A and B?arrow_forward
- In the next sets, you are given the magnitude and one component. There is an ambiguity in determining the vector, because you can only determine the absolute value of the other component and not its sign; therefore, there are two possibilities. In these tables, you must enter the absolute value of the component and provide two angles for the vector, the first one assuming the other component is positive and the other assuming the component is negative. You must also provide two angles for the antiparallel vector in the same order. Set Set 5a 5b 6a 6b Ax Axl 32 -26 X Ayl 53.1 56.28 Ay 42 -21 ✓ ✓ Magnitude of A 62 62 Magnitude of A 72 64 Angle of A 58.93 301.07 114.8 245.2 Angle of A Angle of -A ✔ (pos Ay) 238.93 ✓(neg Ay) 121.07 ° ✔ (pos A,) 294.8 ✓(neg Ay) 65.2 X X (pos Ax) (neg A,) (pos Ax) (neg Ax) Angle of -A ✓(pos Ay) ✔(neg Ay) ✔° (pos Ay) (neg Ay) X (pos A) X(neg Ax) (pos Ax) (neg A₂)arrow_forwardA physics student adds two displacement vectors with magnitudes of 8.0 km and 6.0 km. Which one of the following statements is true concerning the magnitude of the resultant displacement? It could be equal to zero kilometers, depending how the vectors are oriented. No conclusion can be reached without knowing the directions of the vectors. It could have any value between 2.0 km and 14.0 km depending on how the vectors are oriented. It must be 10.0 km. It must be 14.0 km.arrow_forwardVector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j. Determine the value of 3A + 2B in terms of magnitude and angle. The angle can be specified either as a value between 0 and 360 degrees counter- clockwise with respect to the positive x-axis, or as a value between 0 and 90 degrees in the appropriate Cartesian quadrant. Paragraph I + v ... 96% 75°F lılıarrow_forward
- Vector A has a magnitude of 12.3 and its direction is 170° counter-clockwise from the +x-axis. What are the x- and y-components of the vector? Ax = Ay =arrow_forwardYou have two vectors, A and B such that = 6.4 cm at an angle of 15.8° B = = 2.0 cm at an angle of 83.1° What is the magnitude (in cm) of the vector à + B?arrow_forwardVector A has a magnitude of 10 units and makes an angle of 30 degrees counterclockwise from the positive x-axis. Vector B has a magnitude of 25 units and makes an angle of 50 degrees clockwise from the positive x-axis. What is the magnitude of A + B?arrow_forward
- A vector has an x-component of +5 m and makes an angle of 30° with the + x axis. What is its y-component?arrow_forwardThe x component of vector A is 8.7 units, and its y component is -6.5 units. What is the magnitude of A?arrow_forwardVector A has a magnitude of 5 at an angle of 36.9 counter clockwise from the x-axis. The components Ax and Ay are?arrow_forward
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