A $5\mathrm{.}00$ mL syringe has an inner diameter of $5\mathrm{.}50$ mm $,$ a needle inner diameter of $0\mathrm{.}240$ mm $,$ and a plunger pad diameter $($where you place your finger$)$ of $1\mathrm{.}2$ cm $.$ A nurse uses the syringe to inject medicine into a patient whose blood pressure is $\backslash (140/100\backslash ).$

Part A

What is the minimum force the nurse needs to apply to the syringe?

Express your answer with the appropriate units.

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Part B

The nurse empties the syringe in $4\mathrm{.}80$ s $.$ What is the flow speed of the medicine through the needle?

Express your answer with the appropriate units.

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