Problem $1($Analysis$)$: Using Terzaghi's bearing capacity formula, find $\frac{q_a}{Q_a}$ for a strip footing

Problem $2($Design$)$: Using Terzaghi's bearing capacity formula, find the minimum size $($B$)$ of square footing $)=(3\mathrm{.}0$ to support a column load of $100$kips.