Please state the assumptions made in solving the problems and explain your approach.

Density of water: $\backslash (\backslash$rho$\_\{$H $2$ O$\}=1000\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash )$

$1.$ A room got flooded partially as shown in the figure. Water has not leaked to the other side of the door. Calculate:

a$)$ The resultant force on the door due to the water. $(3$ pts $)$

b$)$ Locate the position on the door where this force acts. $(4$ pts $)$

c$)$ What is the force that a person has to apply on the other side door to open the door into the flooded room? $(3$ pts$)$