Gold, which has a density of 19.32 g/cm³, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold, with a mass of 27.63 g, is pressed into a leaf of 1.000 µm thickness, what is the area of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.500 µm, what is the length of the fiber? Express answers in SI units.

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Chapter14: Fluid Mechanics
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Problem 4
Gold, which has a density of 19.32 g/cm³, is the
most ductile metal and can be pressed into a thin
leaf or drawn out into a long fiber. (a) If a sample
of gold, with a mass of 27.63 g, is pressed into
a leaf of 1.000 µm thickness, what is the area of
the leaf? (b) If, instead, the gold is drawn out
into a cylindrical fiber of radius 2.500 µm, what
is the length of the fiber? Express answers in SI
units.
Transcribed Image Text:Problem 4 Gold, which has a density of 19.32 g/cm³, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold, with a mass of 27.63 g, is pressed into a leaf of 1.000 µm thickness, what is the area of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.500 µm, what is the length of the fiber? Express answers in SI units.
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