$6\mathrm{.}54$ Liquid $($SG $=1\mathrm{.}2)$ enters the "blacksphere" through a $2-$in$.$ pipe with velocity of $50$ ft$/$s and a pressure of $60$ psig. It leaves the sphere through two jets as shown. The velocity in the vertical jet is $100$ ft$/$s$,$ and its diameter is $1$ in$.$The other jet's diameter is also $1$ in$.$What force through the $2-$in$.$ pipe wall is required in the x and y directions to hold the sphere in place? Assume the sphere plus the liquid inside it weighs $200$ lbf$.6\mathrm{.}54$ Liquid Answer is $(-63\mathrm{.}5$i$-98\mathrm{.}5$j$)$lbf