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 density of seawater is 1025 kg/m^3.
a.) calculate the gauge pressure p_g on the sunken ocean liner.
b.) Calculate the depth D of the sunken ocean liner.
c.) Calculate the magnitude F of the force due to the water on a viewing port of the submarine at this depth if the viewing port has a surface area of 0.0100 m^2.
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 10.0 m/s after falling for 30.0 s.
d.) Determine the magnitude a of the average acceleration of the ocean liner during this period of time.
e.) Assuming the acceleration was constant, calculate the distance d below the surface at which the ocean liner reached this terminal velocity.
f.) Calculate the time t it took the ocean liner to sink from the surface to the bottom of the ocean.
The solution is comprised of the detailed step-by-step explanations of the calcuation of pressure under the water. It also includes the motion with a constant accleration.