Question $1$

A hydroelectric power plant draws water from an open reservoir at a velocity of $280f\frac{t}{s}$ and subsequently releases the water to a river $26ft$ below the plant entrance at a velocity of $105f\frac{t}{s}.$ Assume the water temperature remains constant.

a$)$ Determine the amount of work delivered by the plant $($BTU$/$Ibm$).$

b$)$ If the power delivered is $65\%$ of that calculated in part $a,$ what are the primary contributors to the efficiency loss?