practice

1. A lucite cube has a mass of 142.5 g and a width of 4.9 cm. Determine its density in kg/m³.
2. It has been known for several thousand years that the earth is spherical (by educated people, at least). Sometime in the Second Century BCE the size of the earth was determined (r_earth = 6,370 km). By the Nineteenth Century its mass was known (m_earth = 5.97 × 10²⁴ kg). And in the early Twentieth Century the structure of the earth was deduced. The earth has three main layers: crust, mantle, and core. The crust of the is the lightest and thinnest and, like the shell of an egg, contributes little to its overall mass. The mantle is a bit more dense, substantially thicker, and contains most of the earth's mass. The core is the densest layer (but not the most massive) and is divided into a liquid outer core and a solid inner core. The relevant data for the interior of the earth are summarized below.

   layer	depth range (km)	mean density (kg/m3)	consistency
   crust	0 ~ 20	2700	solid
   mantle	20 ~ 2890	4500	plastic
   outer core	2890 ~ 5160	?	liquid
   inner core	5160 ~ 6370	?	solid

   Determine …
   1. the average density of the entire earth
   2. the percent of the earth's mass located in the mantle, and
   3. the average density of the core.
3. Write something different.
4. Write something completely different.

conceptual

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numerical

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algebraic

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calculus

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statistical

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investigative

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worksheets

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