1.Write the Bernoulli equation and state all the assumptionsused in its derivation.
2.Write the vector form of the conservation of momentum equationfor a control volume that is moving with a constant velocity.
3.) Water is flowing in a fire hose with a velocity of 1.0 m/sand a pressure of 200000 Pa. Use the Bernoulli equation tocalculate the velocity of the water exiting the nozzle. Note:Derive the expression before plugging in numbers and clearly stateall your assumptions.
4.Through a refinery, fuel ethanol is flowing in a pipe at avelocity of 1 m/s and a pressure of 101300 Pa. The refinery needsthe ethanol to be at a pressure of 2 atm (202600 Pa) on a lowerlevel. How far must the pipe drop in height in order to achievethis pressure? Assume the velocity does not change. (Hint: Use theBernoulli equation. The density of ethanol is 789 kg/m3 ). Derivethe expression before plugging in numbers.
