Problem $1.$ You are trying to siphon gasoline $(=720k\frac{g}{m^3})$ out of a tank using a U$-$shaped tube

with a constant cross$-$sectional area. The tube rises $1m$ above the fluid surface in the tank and

outlets $7m$ below the fluid surface. The gasoline on the surface of the tank is stationary but flows

out as a jet at atmospheric pressure $(101$kPa $).$ What is the speed of the free jet, and what is the

pressure at the top of the tube?

a$)(2$ pt$.)$ Use Bernoulli's equation and general assumptions to relate the head at points $(1)$

and $(2).$ Simplify your equation by canceling out any irrelevant heads.

b$)(4$ pt$.)$ Solve the simplified Bernoulli's equation to determine the velocity of the jet at

point $2.$ Use the height at position $(1)$ as the origin

c$)(4$ pt$.)$ Rewrite another Bernoulli's equation to find the pressure in the tube at point $A.$