3. Kindly answer this **Problem:**Three forces, when added, produce a resultant force that is 100N pointing 65° above the +x-axis. If one of the forces (F₁) is 50N in the +y-axis and another force (F₂) is 100N in a direction 45° below the +x-axis, find the magnitude and direction of the third force (F₃).*(by Sir Fabro, SI Edition)*---**Explanation:**This problem involves vector addition and resolution. You need to use trigonometry to resolve the forces into their components and apply the principle of vector addition to find the unknown force, F₃. The key steps are:1. **Resolve F₁ and F₂ into their components:** - F₁ = 50N along +y-axis. Components: (0, 50). - F₂ = 100N at 45° below +x-axis. Components can be found using trigonometric functions (cosine and sine).2. **Determine the components of the resultant force:** - Resultant = 100N at 65° above +x-axis. Use trigonometry to resolve into x and y components.3. **Apply vector addition:** - Sum the components of F₁, F₂, and F₃ to equal the components of the resultant force.4. **Solve for F₃:** - Use the component equations to find the magnitude and direction of F₃.

Answered: Image /qna-images/answer/563da8b9-87c0-46f5-b0d1-bc19d21a6c76.jpg

Three forces when added produce a resultant force that is 100N pointing 65° above the +x – axis. If one of the forces (F1) is 50N in the +y – axis and another force (F2) is 100N in a direction 45° below the +x - axis. Find the magnitude and direction of third Force (F3). (by Sir Fabro, SI

Three forces when added produce a resultant force that is 100N pointing 65° above the +x – axis. If one of the forces (F1) is 50N in the +y – axis and another force (F2) is 100N in a direction 45° below the +x - axis. Find the magnitude and direction of third Force (F3). (by Sir Fabro, SI

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

3. Kindly answer this

**Problem:**

Three forces, when added, produce a resultant force that is 100N pointing 65° above the +x-axis. If one of the forces (F₁) is 50N in the +y-axis and another force (F₂) is 100N in a direction 45° below the +x-axis, find the magnitude and direction of the third force (F₃).

*(by Sir Fabro, SI Edition)*

---

**Explanation:**

This problem involves vector addition and resolution. You need to use trigonometry to resolve the forces into their components and apply the principle of vector addition to find the unknown force, F₃. The key steps are:

1. **Resolve F₁ and F₂ into their components:**
- F₁ = 50N along +y-axis. Components: (0, 50).
- F₂ = 100N at 45° below +x-axis. Components can be found using trigonometric functions (cosine and sine).

2. **Determine the components of the resultant force:**
- Resultant = 100N at 65° above +x-axis. Use trigonometry to resolve into x and y components.

3. **Apply vector addition:**
- Sum the components of F₁, F₂, and F₃ to equal the components of the resultant force.

4. **Solve for F₃:**
- Use the component equations to find the magnitude and direction of F₃.

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