There is an underground pipe moving wet raw sludge down a hill at a $25\backslash$deg angle with an elevation difference of $200$ ft$.$ Pressure readings are P$1=10$ psi and P$2=22$ psi. The inlet diameter is D$1=1$ ft and the outlet diameter is D$2=0\mathrm{.}6$ ft and the flowrate through the pipe network is approximately

Q$=5\mathrm{.}4$ cfs$.$The combined weight of the fluid and pipe is $23,650$ lbf$.$ After a slope stability analysis, you determine the maximum vertical force that can applied onto the surrounding soil is $24,000$ lbf$.$ Is the slope stable or will it collapse $($i$.$e$.,$ is the vertical force required to keep the system in balancegreater than $24,000$ lbf$)?$ State your assumptions.FYI, most wet raw sludges have a specific gravity ranging from about $1\mathrm{.}01$ to $1\mathrm{.}03$