The Mariana trench is located in the Pacific Ocean at a depth of about 12000 m below the surface of the water?

Question

The density of seawater is 1025 kg/m3.

a) If an underwater vehicle were to explore such a depth, what force would the water exert on the vehicle's observation window (radius = 0.11 m)?

b) For comparison, determine the weight of a jetliner whose mass is 1.5 x 10^5 kg.

Answer 1

First, get the pressure.

Pr= Density*Depth*g

To get the force multiply pressure times Area.

F= Pr * pi* (r)^2

I'll let you do the math. Although it will be somewhere between 4.4 x 10^6 and 4.6 x 10^6 Newtons which is more than the weight of the jetliner!

Good luck.

Answer 2

a) about 1325 tonnes.