A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of 100 cm^2 with hinged door is fitted at a depth of 3…

A vessel with square cross-section and height of $\displaystyle 6$ m is vertically partitioned. A small window of $\displaystyle 100 \mathrm{~cm}^2$ with hinged door is fitted at a depth of $\displaystyle 3$ m in the partition wall. One part of the vessel is filled completely with water and the other side is filled with the liquid having density $\displaystyle 1.5 \times 10^3 \mathrm{~kg} / \mathrm{m}^3$. What force one needs to apply on the hinged door so that it does not get opened ? (Acceleration due to gravity $\displaystyle =10 \mathrm{~m} / \mathrm{s}^2$ )