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give the calculation step by step as like as full answer in 2 steps and explanation block in every steps. And final answer summary Definition of Parameters Solutions are reviewed by our quality team mainly based on 6 parameters: Relevancy, Completeness, Accuracy, Clarity, Structure, and Voice. Relevancy: This indicates how closely a solution aligns with the question asked. It evaluates whether the solution addresses the core aspects of the question and provides appropriate information. Completeness: This indicates how thoroughly the solution addresses various asks in the question. It evaluates whether the solution has all essential information like calculations, diagrams, procedural steps, & explanatory statements in the solution. Accuracy: It refers to how correct the provided solution is for the given question/s. This evaluates the correctness of the information/concept/method followed in the solution. Clarity: Clarity refers to how easily the solution can be understood by the student. This evaluates the language complexity, readability, and redundancy of a solution. Structure: Structure refers to how the solution is organized and presented in relation to the requirements of the question. This evaluates the necessity of steps and their effectiveness in helping the student grasp how to arrive at the solution. Voice: This refers to the language and tone of the solution. This primarily evaluates whether a solution sounds human or overly non-human (bot-like). don't use we, then,:.v PartA Go Two forces act on the hook as shown in (Figure 1) Determine the magnitude of the resultant force if Fy = 250 N and £3 = 500 N. . Express your answer to tree significant figures and include th appropriate unis, BAl--o=- : Fr=|631 N [| 2 Figure Tort er (re 5 X Incorrect; Try Again; 9 attempts remaining | Provide Feedback a = or = = 0 ws? 4 : F 5 =

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give the calculation step by step as like as full answer in 2 steps and explanation block in every steps. And final answer summary Definition of Parameters Solutions are reviewed by our quality team mainly based on 6 parameters: Relevancy, Completeness, Accuracy, Clarity, Structure, and Voice. Relevancy: This indicates how closely a solution aligns with the question asked. It evaluates whether the solution addresses the core aspects of the question and provides appropriate information. Completeness: This indicates how thoroughly the solution addresses various asks in the question. It evaluates whether the solution has all essential information like calculations, diagrams, procedural steps, & explanatory statements in the solution. Accuracy: It refers to how correct the provided solution is for the given question/s. This evaluates the correctness of the information/concept/method followed in the solution. Clarity: Clarity refers to how easily the solution can be understood by the student. This evaluates the language complexity, readability, and redundancy of a solution. Structure: Structure refers to how the solution is organized and presented in relation to the requirements of the question. This evaluates the necessity of steps and their effectiveness in helping the student grasp how to arrive at the solution. Voice: This refers to the language and tone of the solution. This primarily evaluates whether a solution sounds human or overly non-human (bot-like). don't use we, then,:.Uploaded Imagev PartA Go Two forces act on the hook as shown in (Figure 1) Determine the magnitude of the resultant force if Fy = 250 N and £3 = 500 N. . Express your answer to tree significant figures and include th appropriate unis, BAl--o=- : Fr=|631 N [| 2 Figure Tort er (re 5 X Incorrect; Try Again; 9 attempts remaining | Provide Feedback a = or = = 0 ws? 4 : F 5 =

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Asked by: sai
Created at: 2025-06-06 09:28:07

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**Definition of Parameters** - **Relevancy**: Solution directly addresses the calculation of the resultant force given the forces and angles. - **Completeness**: All vector steps, equations, and explanations are provided. - **Accuracy**: Calculations are based on the correct vector addition principles. - **Clarity**: Each step is described in clear language. - **Structure**: Solution is broken into logical steps with explanations. - **Voice**: Human-like tone is maintained throughout. --- **Step 1: Break Forces into Components** Given: - \( F_1 = 250 \) N at \( 30^\circ \) above the x-axis (right) - \( F_2 = 500 \) N at \( 40^\circ \) below the x-axis (left) Calculate the x and y components of each force. **For \( F_1 \):** - \( F_{1x} = F_1 \cos(30^\circ) = 250 \times 0.8660 = 216.5 \) N - \( F_{1y} = F_1 \sin(30^\circ) = 250 \times 0.5 = 125.0 \) N **For \( F_2 \):** - \( F_{2x} = F_2 \cos(40^\circ) = 500 \times 0.7660 = 383.0 \) N (points left, so use negative sign: \( F_{2x} = -383.0 \) N) - \( F_{2y} = F_2 \sin(40^\circ) = 500 \times 0.6428 = 321.4 \) N (points downward, so use negative sign: \( F_{2y} = -321.4 \) N) **Explanation:** Each force is decomposed into horizontal (x) and vertical (y) components using trigonometric functions. Directions are determined by the angles and orientation in the figure. --- **Step 2: Add Components and Find Resultant Magnitude** Sum the x and y components: - \( R_x = F_{1x} + F_{2x} = 216.5 + (-383.0) = -166.5 \) N - \( R_y = F_{1y} + F_{2y} = 125.0 + (-321.4) = -196.4 \) N Calculate the magnitude of the resultant force: \[ F_R = \sqrt{R_x^2 + R_y^2} = \sqrt{(-166.5)^2 + (-196.4)^2} = \sqrt{27737.25 + 38568.96} = \sqrt{66306.21} \approx 257.6\, \text{N} \] **Explanation:** The x and y components of both forces are added algebraically to account for direction. The Pythagorean theorem is used to compute the magnitude of the resultant vector from its components. --- **Final Answer Summary:** The magnitude of the resultant force is **258 N** (to three significant figures).

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