(Solved): The drawing shows a sulfur dioxide molecule. It consists of two oxygen atoms and a sulfur atom. ...

The drawing shows a sulfur dioxide molecule. It consists of two oxygen atoms and a sulfur atom. A sulfur atom is twice as massive as an oxygen atom. Using this information and the data provided in the drawing, find (a) the $x$ coordinate and (b) the $y$ coordinate of the center of mass of the sulfur dioxide molecule. Express your answers in nanometers $\left(1\mathrm{nm}=10^{-9}\mathrm{m}\right)$. A mine car (mass $=441\mathrm{kg}$ ) rolls at a speed of $0.459\mathrm{m}/\mathrm{s}$ on a horizontal track, as the drawing shows. A 173-kg chunk of coal has a speed of $0.581\mathrm{m}/\mathrm{s}$ when it leaves the chute. Determine the velocity of the car/coal system after the coal has come to rest in the car.