$[1\mathrm{.}75/3\mathrm{.}5$ Points$]$

SCALCET$98\mathrm{.}3\mathrm{.}014.$

A trough with a trapezoidal cross$-$section, as shown in the figure, contains vegetable oil with density $920k\frac{g}{m^3},($Use $g=9\mathrm{.}8\frac{m}{s^2}$ for the acceleration due to gravity.$)$

$($a$)$ Find the hydrostatic force $($in N $)$ on one end of the trough if it is completely full of oil.

$$ N

$($b$)$ Compute the force $($in N $)$ on one end if the trough is filled to a depth of $1\mathrm{.}8$ m $.($Round your answer to two decimal places.$)$

$$ N