code class$=$"asciimath"$>5\mathrm{.}14$ WEE At cruise conditions, air flows into a jet engine at a steady rate of $65$lb$($m$)/($s$).$ Fuel enters the engine at a steady rate of $0\mathrm{.}60$lb$($m$)/($s$).$ The average velocity of the exhaust gases is $1500$f$($t$)/($s$)$ relative to the engine. If the engine exhaust effective cross$-$sectional area is $3\mathrm{.}5$ft$^(2),$ estimate the density of the exhaust gases in lb$($m$)/($f$)$t$^(3).$