A square footing $2$m on a side was founded $1\mathrm{.}2$m below the ground surface for which the bulk unit weight of soil is $20$kN$/$m$3,$ the cohesion strength is $10$kPa and the angle of internal friction is $15$ degrees. Under the condition of general shear failure and using Terzaghi's bearing capacity factors are Nc$=12\mathrm{.}86$ Nq$=4\mathrm{.}45$ Ny$=1\mathrm{.}50.$

$1.$ Determine the soil bearing capacity if the ground water is more than $2$m below bottom footing.

$2.$ Determine the soil bearing capacity if the ground water table is at bottom footing.

$3.$ Determine soil bearing capacity if ground water table rises to the ground surface.