A water molecule, consisting of two hydrogen atoms and one oxygen atom, resides in the plane of an x-y coordinate system. The coordinates of the oxygen atom and the two hydrogen atoms are, respectively, (0 m, 4.22 ✕ 10^−11 m),

(7.57 ✕ 10^−11 m, 1.01 ✕ 10^−10 m)
and
(−7.57 ✕ 10^−11 m, 1.01 ✕ 10^−10 m).
Where is the center of mass of the water molecule located in this coordinate system?
Xcm=
Ycm=

1 answer

Mh = 1
Mo = 16
total mass = 16 + 2 = 18

x = 0 by symmetry

18 y = 16(4.22 ✕ 10^−11) + 2(1.01 ✕ 10^−10)