The distance between the oxygen molecule and each of the hydrogen atoms in a wate molecule is 0.96 Å and the angle between the two oxygen-hydrogen bonds is 105°. Treating the atoms as particles, find the centre of mass of the system.
Let's solve this step by step manually. We are asked to find the center of mass (COM) of an $H_2O$ molecule. ### Given data: * Distance $r_{OH} = 0.96 \, \text{Å} = 0.96 \times 10^{-10} \, \text{m}$ * Angle between H–O–H: $\theta = 105^\circ$ * Atomic masses: $m_H = 1 \, \text{u}, \, m_O = 16 \, \text{u}$ --- ### Step 1: Choose a coordinate system * Let the Oxygen be ______ ____ ___ _________ __________ _______ ______.
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