Module 13-2 Gravitation and the Principle of Superposition •6 Go In Fig. 13-32, a square of edge length m, 20.0 cm is formed by four spheres of masses m = 5.00 g, m, = 3.00 g, m3 = 1.00 g, and mų = 5.00 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m; = 2.50 g? %3D -x

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**Module 13-2: Gravitation and the Principle of Superposition**

In the diagram provided, a square with an edge length of 20.0 cm is composed of four spheres with masses as follows: \( m_1 = 5.00 \, \text{g} \), \( m_2 = 3.00 \, \text{g} \), \( m_3 = 1.00 \, \text{g} \), and \( m_4 = 5.00 \, \text{g} \). 

At the center of this square, there is another sphere with a mass of \( m_5 = 2.50 \, \text{g} \). In unit-vector notation, our task is to determine the net gravitational force exerted on the central sphere by the four corner spheres.

**Diagram Explanation:**

- The square is represented with each corner labeled with one of the sphere masses \( m_1, m_2, m_3, \) and \( m_4 \).
- The center of the square contains a sphere labeled \( m_5 \).
- Axes \( x \) and \( y \) are drawn from the central sphere, indicating the directions for analyzing forces in unit-vector notation.
Transcribed Image Text:**Module 13-2: Gravitation and the Principle of Superposition** In the diagram provided, a square with an edge length of 20.0 cm is composed of four spheres with masses as follows: \( m_1 = 5.00 \, \text{g} \), \( m_2 = 3.00 \, \text{g} \), \( m_3 = 1.00 \, \text{g} \), and \( m_4 = 5.00 \, \text{g} \). At the center of this square, there is another sphere with a mass of \( m_5 = 2.50 \, \text{g} \). In unit-vector notation, our task is to determine the net gravitational force exerted on the central sphere by the four corner spheres. **Diagram Explanation:** - The square is represented with each corner labeled with one of the sphere masses \( m_1, m_2, m_3, \) and \( m_4 \). - The center of the square contains a sphere labeled \( m_5 \). - Axes \( x \) and \( y \) are drawn from the central sphere, indicating the directions for analyzing forces in unit-vector notation.
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