ch14-p030 - 30. (a) The pressure (including the...

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30. (a) The pressure (including the contribution from the atmosphere) at a depth of h top = L /2 (corresponding to the top of the block) is 53 2 5 top atm top 1.01 10 Pa (1030 kg/m )(9.8 m/s )(0.300 m) 1.04 10 Pa pp g h ρ =+ + = × where the unit Pa (Pascal) is equivalent to N/m 2 . The force on the top surface (of area A = L 2 = 0.36 m 2 ) is F top = p top A = 3.75 × 10 4 N. (b) The pressure at a depth of h bot = 3 L /2 (that of the bottom of the block) is 2 5 bot atm bot (1030 kg/m )(9.8 m/s )(0.900 m) 1.10 10 Pa g h = × + = × where we recall that the unit Pa (Pascal) is equivalent to N/m 2 . The force on the bottom surface is F bot = p bot A = 3.96 × 10 4 N. (c) Taking the difference F bot F top cancels the contribution from the atmosphere
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