Suppose you have a $9\mathrm{.}6$ cm diameter fire hose with a $2\mathrm{.}6$ cm diameter nozzle.

$$ Part $($a$)$

Calculate the pressure drop due to the Bernoulli effect as water enters the nozzle from the hose at the rate of $40\mathrm{.}0$ L$/$s$.$ Take $1\mathrm{.}00103$ kg$/$m$3$ for the density of the water.

$$ Part $($b$)$

To what maximum height, in meters, above the nozzle can this water rise? $($The actual height will be significantly smaller due to air resistance.$)$