## 2004B2.
While exploring a sunken ocean liner, the principal researcher found the absolute pressure on the robot observation submarine at the level of the ship to be about 413 atmospheres. The inside of the submarine is kept at atmospheric pressure. The density of seawater is 1025kg/m3.
(a) Calculate the gauge pressure on the sunken ocean liner.
(b) Calculate the depth of the sunken ocean liner.
(c) Calculate the magnitude of the net force due to the fluid pressures only on a viewing port of the submarine at this depth if the viewing port has a surface area of 0.0100m2.
(d) What prevents the 'net force' found in part c from accelerating and moving the viewing port.
Suppose that the ocean liner came to rest at the surface of the ocean before it started to sink. Due to the resistance of the seawater, the sinking ocean liner then reached a terminal velocity of 10.0m/s after falling for 30.0 s .
(e) Determine the magnitude of the average acceleration of the ocean liner during this period of time.
(f) Assuming the acceleration was constant, calculate the distance d below the surface at which the ocean liner reached this terminal velocity.
(g) Calculate the time t it took the ocean liner to sink from the surface to the bottom of the ocean.