How do you solve for Resultant given this information. I was able to do the graphical method but I am unsure how n how to use the component method. ### Vector Addition**Given Vectors:**- \( F_1 = 1.47 \, \text{units} \) at \( 0^\circ \)- \( F_2 = 1.96 \, \text{units} \) at \( 90^\circ \)**Graph Explanation:**The provided graph is a Cartesian coordinate system with labeled axes, representing a vector addition problem.**Vectors on the Graph:**1. **Vector \( F_1 \) (Blue Arrow)** - Magnitude: 1.47 units - Direction: \( 0^\circ \) (positive x-axis) - Plotted from the origin (0,0) to the point (1.47, 0)2. **Vector \( F_2 \) (Blue Arrow)** - Magnitude: 1.96 units - Direction: \( 90^\circ \) (positive y-axis) - Plotted from the origin (0,0) to the point (0, 1.96)**Resultant Vector \( F_r \) (Black Arrow and Dotted Lines)**- The resultant vector \( F_r \) starts from the origin and ends at the point where the two original vectors combine, forming the hypotenuse of the right triangle created by \( F_1 \) and \( F_2 \).- Magnitude: Approximately 1.9 units- Direction: \( 45^\circ \)**Forming the Resultant Vector:**The resultant vector \( F_r \) can be found by placing the tail of \( F_2 \) at the head of \( F_1 \). This forms a right triangle with:- The horizontal component as \( F_1 \)- The vertical component as \( F_2 \)In accordance with the Pythagorean theorem, the magnitude of \( F_r \) is calculated as:\[ F_r = \sqrt{F_1^2 + F_2^2} \]\[ F_r = \sqrt{1.47^2 + 1.96^2} \approx 2.45 \text{ units} \]**Conclusion:**The graph visually demonstrates the vector addition process, with the components \( F_1 \) and \( F_2 \) and their resultant vector \( F_r \). This graphical method helps

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Answered: F, = 1.47 @ o° Fz= 1.96 @ 90° @ 90°…

Science

Physics

F, = 1.47 @ o° Fz= 1.96 @ 90° @ 90° Frel.9 F=1.47

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 65PQ

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