$(4pts$ Given the square footing shown below $(2ft$ by $2ft),$ calculate the Schmertmann factors $C_1$ for the footing bearing $4$ feet deep, and $C_2$ for $10$ years time. Unit weight of soil is $120$ pounds per cubic foot.

$c_1=1-0\mathrm{.}5(\frac{p_0^{\text{'}}}{p})$

$c_2=1+0\mathrm{.}2lo{g}_{10}(\frac{t_{yr}}{0\mathrm{.}1})$