Gate $AB(0\mathrm{.}6-m0\mathrm{.}9-m)$ is located at the bottom of a tank filled with methyl alcohol $(SG=0\mathrm{.}79)$ and hinged along its bottom edge $A.$ Knowing that the weight of the gate is $320$ N $,$ determine the minimum force that must be applied to the cable $(BCD)$ to open the gate. Take the density of water to be $1,000k\frac{g}{m^3}.$

The minimum force that must be applied to the cable to open the gate is

N$.$