Three forces are applied to a tree sapling, as shown in (Figure 1) , to stabilize it. Suppose that F⃗ AF→AF_A = 345 NN and F⃗ BF→BF_B = 485 NN . Determine the magnitude of F⃗ CF→C. Determine the angle between F⃗ AF→A and F⃗ CF→C, measured clockwise.

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Three forces are applied to a tree sapling, as shown in (Figure 1) , to stabilize it. Suppose that F⃗ AF→AF_A = 345 NN and F⃗ BF→BF_B = 485 NN .

  1. Determine the magnitude of F⃗ CF→C.
  2. Determine the angle between F⃗ AF→A and F⃗ CF→C, measured clockwise.
**Figure Explanation for Educational Website**

**Description:**
The provided figure illustrates a diagram comprising three vectors labeled \(\vec{F}_A\), \(\vec{F}_B\), and \(\vec{F}_C\) acting on a common point within a biological structure. This figure possibly represents forces in a molecular or cellular context.

**Diagram Details:**

1. **Vectors:**
   - \(\vec{F}_A\): A vector pointing to the right from the central point.
   - \(\vec{F}_B\): A vector pointing upward, tilted slightly to the left, forming an angle of 105° with \(\vec{F}_A\).
   - \(\vec{F}_C\): A vector pointing downward and to the left, forming an angle \(\theta\) with \(\vec{F}_A\).

2. **Angles:**
   - The angle between \(\vec{F}_A\) and \(\vec{F}_B\) is specified as 105°.
   - The angle \(\theta\) between \(\vec{F}_A\) and \(\vec{F}_C\) is not provided explicitly.

3. **Context:**
   - The central part of the diagram features a biological or molecular structure, depicted artistically with irregular shapes and textures, suggesting a cell or protein complex.

**Usage in Educational Context:**

This figure can be used in lessons related to:
- Vector addition and resolution in physics.
- Molecular biology, illustrating how various forces or interactions might affect molecular structures.
- Structural biology to understand the orientation and interaction of different molecular components.

In constructing problems or explaining the concept, one might ask students to:
- Calculate the resultant force acting on the central point.
- Determine the unknown angle \(\theta\) if additional information is provided.
- Analyze the significance of the angles and force directions in the context of biological molecular interactions.
Transcribed Image Text:**Figure Explanation for Educational Website** **Description:** The provided figure illustrates a diagram comprising three vectors labeled \(\vec{F}_A\), \(\vec{F}_B\), and \(\vec{F}_C\) acting on a common point within a biological structure. This figure possibly represents forces in a molecular or cellular context. **Diagram Details:** 1. **Vectors:** - \(\vec{F}_A\): A vector pointing to the right from the central point. - \(\vec{F}_B\): A vector pointing upward, tilted slightly to the left, forming an angle of 105° with \(\vec{F}_A\). - \(\vec{F}_C\): A vector pointing downward and to the left, forming an angle \(\theta\) with \(\vec{F}_A\). 2. **Angles:** - The angle between \(\vec{F}_A\) and \(\vec{F}_B\) is specified as 105°. - The angle \(\theta\) between \(\vec{F}_A\) and \(\vec{F}_C\) is not provided explicitly. 3. **Context:** - The central part of the diagram features a biological or molecular structure, depicted artistically with irregular shapes and textures, suggesting a cell or protein complex. **Usage in Educational Context:** This figure can be used in lessons related to: - Vector addition and resolution in physics. - Molecular biology, illustrating how various forces or interactions might affect molecular structures. - Structural biology to understand the orientation and interaction of different molecular components. In constructing problems or explaining the concept, one might ask students to: - Calculate the resultant force acting on the central point. - Determine the unknown angle \(\theta\) if additional information is provided. - Analyze the significance of the angles and force directions in the context of biological molecular interactions.
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