A cylindrical bottle of oil-and-vingear salad dressing whose volume is 1/3 vinga

Question

A cylindrical bottle of oil-and-vingear salad dressing whose volume is 1/3 vingar (p=1.01 g/cm^3) and 2/3 (p=0.910 g/cm^3) is at rest on a table. Initially, the oil and the vinegar are separated, with the oil floating on top of the vinegar. The bottle is shaken so that the oil and vinegar mix uniformly and the bottle is returned to the table. How has the height of center of mass of salad dressing changed as a result of mixing?

a. It is the same.
b. There is not enough information to anser this question.
c. It is higher
d. It is lower

Explanation / Answer

It is higher. Before being mixed, the more dense material, vinegar, is at the bottom, so it has a low center of mass. After it is mixed, all the mass is uniformly distributed, so the center of mass is higher.

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