Answer
$Force =7.2 × 10^{5}$ $N$
Work Step by Step
Hydrostatic pressure at height $h$ below the surface is given by:
$pressure=\rho_{o}+\rho g h$
This is the pressure on the submarine from outside. The net pressure ($P_{net}$) is the pressure difference between the pressure outside and internal pressure.
So,
$P_{net}=[\rho_{o}+\rho g h ]-[ internal$ $pressure]$
Substituting the known values and solving gives:
$P_{net}=[1 atm+1024$ $kg/m^{3}\times9.8$ $m/s^{2}\times 100 m]-[1 atm]$
$P_{net}=1.003\times10^{6}Pa$
We have :
$Force=P_{net}\times Area$
Substituting the known values in the above equation and solving gives:
$Force =[1.003\times10^{6}Pa] \times [1.2m\times0.60m]$
$Force = 7.2\times10^{5}$ $N$
