Opening of a safe

How great a force would need to be exerted to open the rectangular door of a water-tight safe with dimensions 30 cm x 20 cm, built into the wall of a cabin of the sunken Titanic, which has been lying for more than 105 years on the bottom of the Atlantic Ocean? The necessary data, such as the depth of the ocean in the places where the Titanic is, or the density of sea water of the Atlantic Ocean, find in available sources! A hint for the solution: Calculate the magnitude of the hydrostatic pressure force acting on the safe door.

Final Answer:

F =  2292597 N

Step-by-step explanation:

$$\begin{gathered} a=30\text{cm}\to \text{m}=30:100\text{m}=0.3\text{m} \\ b=20\text{cm}\to \text{m}=20:100\text{m}=0.2\text{m} \\ S=a\cdot b=0.3\cdot 0.2=\frac{3}{50}=0.06{\text{m}}^2 \\ h=1025{\text{kg/m}}^3 \\ {h}_2=3800\text{m} \\ g=9.81{\text{m/s}}^2 \\ F=S\cdot h\cdot h_2\cdot g=0.06\cdot 1025\cdot 3800\cdot 9.81=2292597\text{N} \end{gathered}$$

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