Solutions 14_1-3 - 14.5.IDENTIFY: SET UP: Apply = m / V to...

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14.5.IDENTIFY: Apply ρ = m / V to relate the densities and volumes for the two spheres. SET UP: For a sphere, V = 4 3 π r 3 . For lead, and for aluminum, . l = 11.3 × 10 3 kg/m 3 a = 2.7 × 10 3 kg/m 3 EXECUTE: m = n V = 4 3 ¹r 3 n . Same mass means . r a 3 n a = r 1 3 n 1 r a r 1 = n 1 n a 13 = 11.3 × 10 3 2.7 × 10 3 13 = 1.6 . EVALUATE: The aluminum sphere is larger, since its density is less. 14.17. IDENTIFY: Apply . p = p 0 + gh SET UP: For water, . = 1.00 × 10 3 kg/m 3 EXECUTE: p p air = n gh = (1.00 × 10 3 kg/m 3 )(9.80 m/s 2 )(6.1 m) = 6.0 × 10 4 Pa. EVALUATE: The pressure difference increases linearly with depth. 14.24. IDENTIFY: F 2 = A 2 A 1 F 1 . must equal the weight F 2 w = mg of the car. SET UP: . is the diameter of the vessel at the piston where is applied and of the diameter at the car. A = D 2 /4 D 1 F 1 D 2 EXECUTE: mg = D 2 2 /4 D 1 2 /4 F 1 . D 2 D 1 = mg F 1 = (1520 kg)(9.80 m/s
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This note was uploaded on 04/03/2008 for the course PHYSICS 140 taught by Professor Evrard during the Fall '07 term at University of Michigan.

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