The structure of water molecule is shown in figure


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The structure of a water molecule is shown in figure (9-E1). Find the distance of the center mass of the molecule from the center of the oxygen atom.

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Thanks for asking the question!

ANSWER::

Given:-
m₁=1 gm                              m₂=1 gm   
x₁= - (0.96 x 10⁻¹⁰) sin 52°   x₂= - (0.96 x 10⁻¹⁰)sin52°   x₃= 0
y₁=0                                      y₂=0                               y₃=(0.96 x 10⁻¹⁰) cos52°

So , the position of centre of mass is = 

[(m₁x₁+m₂x₂+m₃x₃)/(m₁+m₂+m₃) , (m₁y₁+m₂y₂+m₃y₃)/(m₁+m₂+m₃)]

=[(- (0.96 x 10⁻¹⁰) x sin 52°+ (0.96 x 10⁻¹⁰) sin 52°+16 x 0) / (1+1+16) , (0+0+16(0.96 x 10⁻¹⁰) cos 52°)/(18)]

=(0,(8/9)0.96 x 10⁻¹⁰cos 52°) 

Hope it helps!


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