# Problem: A submarine is stranded on the bottom of the ocean with its hatch 25 m below the surface. In this problem, assume the density of the sea water is 1.03 x 103 kg/m3. Calculate the force, in newtons, needed to open the hatch from the inside, given it is circular and 0.45m in diameter. The air pressure inside the submarine is 1.00 atm

###### FREE Expert Solution

Pressure in fluids:

$\overline{){\mathbf{P}}{\mathbf{=}}{\mathbf{h}}{\mathbf{\rho }}{\mathbf{g}}}$

Force and Pressure:

$\overline{){\mathbf{P}}{\mathbf{=}}\frac{\mathbf{F}}{\mathbf{A}}}$

ρseawater = 1.03 × 103 Kg/m3

h = 25 m

g = 9.8 m/s2

diameter, d = 0.45 m

A = πr2 = π(d/2)2 = π(0.45/2)2 = 0.159 m2

###### Problem Details

A submarine is stranded on the bottom of the ocean with its hatch 25 m below the surface. In this problem, assume the density of the sea water is 1.03 x 103 kg/m3. Calculate the force, in newtons, needed to open the hatch from the inside, given it is circular and 0.45m in diameter. The air pressure inside the submarine is 1.00 atm