A $120$ft spillway is studied using a model that is $10$ft $.$ The discharge in the model is $0\mathrm{.}3($m$^(3))/($s$).$

Lr$=($Lm$/$Lp$)=(1/12)$

$($a$)$ To what prototype discharge does this correspond?

$($b$)$ The force in certain part of the model is found to be $30$N $,$ what is corresponding force in the prototype? Water is used in both model and prototype.