(a) What force is exerted by the atmosphere on a disk-shaped region 2.00 m in ra
ID: 1290133 • Letter: #
Question
(a) What force is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of a methane ocean?
N
(b) What is the weight of a 10.0-m deep cylindrical column of methane with radius 2.00 m? Note: The density of liquid methane is 415 kg/m3.
N
(c) Calculate the pressure at a depth of 10.0 m in the methane ocean.
Pa
Suppose a distant world with surface gravity of 4.32 m/s2 has an atmospheric pressure of 7. Suppose a distant world with surface gravity of & nb 10^4 pa at the surface. (a) What force is exerted by the atmosphere on a disk-shaped region 2.00 m in radius at the surface of a methane ocean? (b) What is the weight of a 10.0-m deep cylindrical column of methane with radius 2.00 m? Note: The density of liquid methane is 415 kg/m3. (c) Calculate the pressure at a depth of 10.0 m in the methane ocean. PaExplanation / Answer
a) Force, F = pressure*area = 7.48*104 *pi*22
F = 9.4 x 105 N
b) V = 10*pi*22 = 125.66 m3.
Weight = V*m*g = 125.66*415*4.32 = 225290 N
c) pressure = ?gh + atmospheric pressure
pressure = 415*4.32*10 + 7.48*10^4 = 92728 Pa
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