Shown below is the sealed, square $($Wby W$),$ container that is partially filled with water. The cart is resting on a frictionless wheels. There is a U$-$tube manometer connected to the wall above the water line as shown. Tere is a rectangular slot of width W and height H that is cut into the side of the cart near the bottom where the water is escaping as shown by the arrows. Assume H is relatively small compared with the other dimensions such that the problem is "quasi$-$steady". Assume l$1=40$ cm$,$ l$2=22$ com in the manometer. Assume l$3=0\mathrm{.}5$ m$,$ W$=2$ m an dH$=,$o$1$M$.$ A$0$ Calculate the time rate of chnage dl$/$dt$.$ b$)$ Calculate the reaction force R$1$ required to hold the container in place.