Problem A10:
You want to find the density ρ of an unknown fluid. You have
an object with a low density and volume V0 that will
float in both water and the unknown fluid. You place
the object in water, and note that n1 percent of it's
volume is under water. You now place the same object into the
unknown fluid, and notice that n2 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=(n3/1000)ρwater,
what is n3? Note that n1, n2,
and n3 are unitless.
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