College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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In the ammonia (NH₃) molecule depicted in the figure, three hydrogen (H) atoms form an equilateral triangle, with the center of the triangle at a distance \( d = 9.40 \times 10^{-11} \) m from each hydrogen atom. The nitrogen (N) atom is at the apex of a pyramid, with the three hydrogen atoms forming the base. The nitrogen-to-hydrogen atomic mass ratio is 13.9, and the nitrogen-to-hydrogen distance is \( L = 10.14 \times 10^{-11} \) m. What are the (a) x and (b) y coordinates of the molecule's center of mass? - (a) [Input field for the number] Units [Dropdown for units] - (b) [Input field for the number] Units [Dropdown for units] **Diagram Explanation:** The diagram shows a three-dimensional arrangement of atoms in the ammonia molecule: - **y-axis** is vertical, with the nitrogen (N) atom located along this axis at the apex. - **x-axis** is horizontal along the base where the hydrogen (H) atoms form an equilateral triangle. - **H atoms**: Three red spheres represent hydrogen atoms forming the base. - **N atom**: A teal sphere represents the nitrogen atom at the apex of the pyramid. - **Distances**: - \( L \) represents the distance from the nitrogen atom to each hydrogen atom. - \( d \) represents the distance from the center of the equilateral triangle to each hydrogen atom. This setup illustrates the geometric orientation of the atoms needed to compute the center of mass.
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Transcribed Image Text:In the ammonia (NH₃) molecule depicted in the figure, three hydrogen (H) atoms form an equilateral triangle, with the center of the triangle at a distance \( d = 9.40 \times 10^{-11} \) m from each hydrogen atom. The nitrogen (N) atom is at the apex of a pyramid, with the three hydrogen atoms forming the base. The nitrogen-to-hydrogen atomic mass ratio is 13.9, and the nitrogen-to-hydrogen distance is \( L = 10.14 \times 10^{-11} \) m. What are the (a) x and (b) y coordinates of the molecule's center of mass? - (a) [Input field for the number] Units [Dropdown for units] - (b) [Input field for the number] Units [Dropdown for units] **Diagram Explanation:** The diagram shows a three-dimensional arrangement of atoms in the ammonia molecule: - **y-axis** is vertical, with the nitrogen (N) atom located along this axis at the apex. - **x-axis** is horizontal along the base where the hydrogen (H) atoms form an equilateral triangle. - **H atoms**: Three red spheres represent hydrogen atoms forming the base. - **N atom**: A teal sphere represents the nitrogen atom at the apex of the pyramid. - **Distances**: - \( L \) represents the distance from the nitrogen atom to each hydrogen atom. - \( d \) represents the distance from the center of the equilateral triangle to each hydrogen atom. This setup illustrates the geometric orientation of the atoms needed to compute the center of mass.
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