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Unformatted text preview: volume contained by S . More specically, Gausss law states that I S g & da = 4 &Gm in : Note that g here is the total electric eld, due to mass sources both inside and outside S . The value of G , the gravitational constant, is about 6 : 673 10 & 11 N & m 2 =kg 2 . (a) Earths volume mass density, at any distance r from its center, is given approximately by the function = A Br=R , where A = 1 : 42 10 4 kg=m 3 , B = 1 : 16 10 4 kg=m 3 , and Earths radius R = 6 : 370 10 6 m . Calculate the numerical value of Earths mass M . Hint: The volume of a spherical shell, lying between radii r and r + dr , is dv = 4 &r 2 dr . (b) Determine the gravitational eld inside Earth. (c) Using the result of part b , determine the gravitationaleld magnitude at Earths surface. 1...
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 Spring '09
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