a$.$ What is the pressure drop $($in $\frac{N}{m^2})$ due to the Bernoulli effect as water goes into a $3$ cm diameter nozzle from a $9\mathrm{.}4$ cm diameter fire hose while carrying a flow of $43\frac{L}{s}?$

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Find the speeds in the hose and the nozzle first, then apply Bernoulli's equation.

The pressure drop is $1\mathrm{.}84E6,x\frac{N}{m^2}.$

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

The maximum height $1189\mathrm{.}2$ m$.$

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