P15_017 - p and note that g cancels to obtain ρ c d = ρ o...

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17. We assume that the pressure is the same at all points that are the distance d = 20 km below the surface. For points on the left side of Fig. 15-31, this pressure is given by p = p 0 + ρ o gd o + ρ c gd c + ρ m gd m , where p 0 is atmospheric pressure, ρ o and d o are the density and depth of the ocean, ρ c and d c are the density and thickness of the crust, and ρ m and d m are the density and thickness of the mantle (to a depth of 20 km). For points on the right side of the ±gure p is given by p = p 0 + ρ c gd .W ee
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Unformatted text preview: p and note that g cancels to obtain ρ c d = ρ o d o + ρ c d c + ρ m d m . We substitute d m = d − d o − d c to obtain ρ c d = ρ o d o + ρ c d c + ρ m d − ρ m d o − ρ m d c . We solve for d o : d o = ρ c d c − ρ c d + ρ m d − ρ m d c ρ m − ρ o = ( ρ m − ρ c ) ( d − d c ) ρ m − ρ o = ³ 3 . 3 g / cm 3 − 2 . 8 g / cm 3 ´ (20 km − 12 km) 3 . 3 g / cm 3 − 1 . 0 g / cm 3 = 1 . 7 km ....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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