Water flows through a 4.0 -cm-diameter horizontal pipe at a speed of \(1.3 \mathrm{~m} / \mathrm{s}\). The pipe then narrows down to a diameter of \(2.0 \mathrm{~cm}\). Ignoring viscosity, what is the pressure difference between the wide and narrow sections of the pipe?

A. \(850 \mathrm{~Pa}\)

B. \(3400 \mathrm{~Pa}\)

C. \(9300 \mathrm{~Pa}\)

D. \(12,700 \mathrm{~Pa}\)

E. \(13,500 \mathrm{~Pa}\)