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69. Problem 17.17 (HR) A cube floating on mercury has one-fourth of its volume submerged. If enough water is added to cover the cube, what fraction of its volume will remain immersed in mercury? Does the answer depend on the shape of the body? |
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Solution: Click For PDF Version Let the volume of the cube be V. As the volume of
mercury displaced by the cube is
Let
As
As
we find
Answer does not depend on the shape of the body. |
, the mass
of the cube will be
.
be the
volume of the cube that is immersed in mercury and
be the volume of water that is displaced when water is added to mercury such
that the cube is covered with water. In that situation mass of mercury and mass
of water displaced by the cube will be
, we have
the relation
