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

Question

The Mariana trench is located in the floor of the Pacific Ocean at a depth of about 10800 m below the surface of the water. The density of seawater is 1025 kg/m3.

The Mariana trench is located in the floor of the Pacific Ocean at a depth of about 10800 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 vehicle's observation window (radius = 0.14 m)? For comparison, determine the weight of a jetliner whose mass is 1.40 times 105 kg.

Explanation / Answer

P = rho * g * h = 1025 * 9.8 * 10800 = 108486000 pa

a) F = P * A = 108486000 * pi * 0.14^2 = 6680048.884 N = 6.68 * 10^6 N

b) Weight = 1.4 *10^5 * 9.8 = 1.3672 *10^6 N

force on window = 4.89 times wiegt of jetliner

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