A relief valve is installed on the bottom of a pressure vessel. The entrance to the valve is $4.5 \mathrm{in}$. diameter and the exit (which discharges in the horizontal direction, $90^{\circ}$ from the entrance) is 5 in. diameter. The loss coefficient for the valve is 4.5 based on the inlet velocity. The fluid in the tank is a liquid, with a density of $0.8 \mathrm{~g} / \mathrm{cm}^{3}$. If the valve opens when the pressure at the valve reaches $150 \mathrm{psig}$, determine

(a) The mass flow rate through the valve, in $\mathrm{lb}_{\mathrm{m}} / \mathrm{s}$.

(b) The net force (magnitude and direction) exerted on the valve.

(c) Determine the location (orientation) of a cable that is to be attached to the valve to balance the net force (note that a cable can support only a tensile force).