Answer:
The particle model of matter is one of the most useful scientific models because it describes matter in all three states. Understanding how the particles of matter behave is vital if we hope to understand science!
The model also helps us to understand what happens to the particles when matter changes from one state to another.
The following diagram shows different changes of state, as well as which processes are the reverse of each other. Melting and freezing are the reverse processes of each other and so are evaporation (boiling) and condensation.
Explanation:
The molarity remains the same so the ratio does not change
<span>If two of the masses are at (0, 0) and (L, 0), by symmetry the x-coordinate of the third mass must be L/2, and then by the Pythagorean theorem its y-coordinate must be L(âš3)/2. Thus the position of the third mass is (L/2, L(âš3)/2).
Let each mass be m and C be the position of its center of mass.
Then C = (1/(3m)) (m(0, 0) + m(L, 0) + m(L/2, L(âš3)/2)).
= (1/3) (3L/2, L(âš3)/2).
= (L/2, L(âš3)/6).
That is, X_c = L/2 and Y_c = L(âš3)/6.</span>