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A fisherman measures the weight of his anchor, first in air and then with the anchor submerged in sea water. He finds that the anchor
A fisherman measures the weight of his anchor, first in air and then with the anchor submerged in sea water. He finds that the anchor appears to be 500 N lighter in the sea water than it does in air. Assume the anchor is made of lead with a density of 11.3 g/cm3 (a) What is the volume of the fisherman's anchor? (b) What is the weight of the anchor in air? (c) If the fisherman drops the anchor down to the seafloor which is at a depth of 40.0 m, what pressure does the anchor experience at this depth? Some useful numbers and constants: Gas constant. R = 8.31 J/mol.K Boltzmann's constant: k = 1.38 x 10-23 J/K Avogadro's number = 6.02 x 10- atoms/mole gravity: g = 9.80 m/s2 Cwater = 4190 J/(kg K) = 1.00 cal/(g 'c) Cice = 2220 J/(kg K) = 0.530 cal/(g 'c) Ccopper = 386 J/(kg K) Li,water = 333 x 10#J/kg = 80 cal/g Lv,water = 2260 x 103 J/kg = 539 cal/g Patm = 1.01 x 105 Pa Pair = 1.21 kg/m3 Pfreshwater = 1000 kg/m3 Pseawater = 1025 kg/m3 For sound: Vair = 343 m/s
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