Problem A10:
You want to find the density ρ of an unknown fluid. You have
an object with a low density and volume V_{0} that will
float in both water and the unknown fluid. You place
the object in water, and note that n_{1} percent of it's
volume is under water. You now place the same object into the
unknown fluid, and notice that n_{2} percent of it's
volume is in the unknown fluid when it floats. What is the density of the
unknown fluid? If the density of the unknown fluid is
ρ=(n_{3}/1000)ρ_{water},
what is n_{3}? Note that n_{1}, n_{2},
and n_{3} are unitless.

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