The Center of Mass of Sulfur Dioxide Sulfur dioxide (SO2) consists of two oxygen atoms (each of mass 16 u, where u, or the atomic mass unit, is defined by u = 1.66 x 10-27 kg) and a single sulfur atom (of mass 32 u). The center-to-center distance between the sulfur atom and either of the oxygen atoms is 0.143 nm, and the angle formed by the three atoms is 120 °, as shown in the figure(Figure 1). Part A Find the x and y coordinates of the center of mass of this molecule. Express your answers using two significant figures separated by a comma. ? Figure 1 of 1 Xem, Yem =

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**The Center of Mass of Sulfur Dioxide**

Sulfur dioxide (SO₂) consists of two oxygen atoms (each of mass 16 u, where u, or the atomic mass unit, is defined by u = 1.66 x 10⁻²⁷ kg) and a single sulfur atom (of mass 32 u). The center-to-center distance between the sulfur atom and either of the oxygen atoms is 0.143 nm, and the angle formed by the three atoms is 120°.

**Figure Explanation**

The figure shows a graphical representation of the sulfur dioxide molecule. It depicts two red circles labeled "Oxygen" and one yellow circle labeled "Sulfur". The sulfur atom is positioned at the intersection of the x and y axes. Lines are drawn from the sulfur atom to each oxygen atom, marking the center-to-center distance of 0.143 nm. The angle between these lines is indicated to be 120°. The y-axis is positioned vertically and the x-axis horizontally, each intersecting at the center of the sulfur atom.

**Part A**

Find the \( x \) and \( y \) coordinates of the center of mass of this molecule.

*Express your answers using two significant figures separated by a comma.*

\[ X_{cm}, Y_{cm} = \, \]

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Transcribed Image Text:**The Center of Mass of Sulfur Dioxide** Sulfur dioxide (SO₂) consists of two oxygen atoms (each of mass 16 u, where u, or the atomic mass unit, is defined by u = 1.66 x 10⁻²⁷ kg) and a single sulfur atom (of mass 32 u). The center-to-center distance between the sulfur atom and either of the oxygen atoms is 0.143 nm, and the angle formed by the three atoms is 120°. **Figure Explanation** The figure shows a graphical representation of the sulfur dioxide molecule. It depicts two red circles labeled "Oxygen" and one yellow circle labeled "Sulfur". The sulfur atom is positioned at the intersection of the x and y axes. Lines are drawn from the sulfur atom to each oxygen atom, marking the center-to-center distance of 0.143 nm. The angle between these lines is indicated to be 120°. The y-axis is positioned vertically and the x-axis horizontally, each intersecting at the center of the sulfur atom. **Part A** Find the \( x \) and \( y \) coordinates of the center of mass of this molecule. *Express your answers using two significant figures separated by a comma.* \[ X_{cm}, Y_{cm} = \, \] [Submit Button] [Request Answer Button] (Return to Assignment) (Provide Feedback)
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