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The Mariana trench is located in the floor of the Pacific Ocean at a depth of ab

ID: 2102999 • Letter: T

Question

The Mariana trench is located in the floor of the Pacific Ocean at a depth of about 11,000 m below the surface of the water. The density of seawater is 1025 kg/m3. If an underwater vehicle were to explore such a depth, what force would the water exert on the vehicles's observation window (radius = 0.10 m)? Note: Give your answer to the nearest billion newtons. i.e. 5,199,782,356 would be 5 The Mariana trench is located in the floor of the Pacific Ocean at a depth of about 11,000 m below the surface of the water. The density of seawater is 1025 kg/m3. If an underwater vehicle were to explore such a depth, what force would the water exert on the vehicles's observation window (radius = 0.10 m)? Note: Give your answer to the nearest billion newtons. i.e. 5,199,782,356 would be 5

Explanation / Answer

Start with P = pgh

P = (1025)(9.8)(11000) = 110495000 Pa


P = F/A

F = PA

F = (110495000)(pi)(.1)^2

F = 3.47 X 10^6 N

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