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A liquid medicine is injected into a patient from an IV bag elevated h = 0.800...

A liquid medicine is injected into a patient from an IV bag elevated h = 0.800 m above the needle, see figure. The needle is placed horizontally. The needle is 3.00 cm in length and 0.400 mm in diameter. Assume the average gauge pressure inside the vein is 1.28 x 10^3 Pa; the viscosity of the medicine is 2.00 x 10^-3 Pa*s; and the density of the medicine is 1.05 x 10^3 kg/m^3 .
(1) Calculate the pressure difference between the input and output of the needle.
(2) Calculate the time it takes to inject 525 cm^3 of the medicine into the vein.

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