Viscosity and Laminar Flow; Poiseuille’s Law (Problem 47)

An oil gusher shoots crude oil 25.0 m into the air through a pipe with a 0.100-m diameter. Neglecting air resistance but not the resistance of the pipe, and assuming laminar flow, calculate the gauge pressure at the entrance of the 50.0-m-long vertical pipe. Take the density of the oil to be $900{\text{kg/m}}^3$ and its viscosity to be $1.00({\text{N/m}}^2)\cdot \text{s}$ (or $1.00\text{ Pa }\cdot \text{ s }$). Note that you must take into account the pressure due to the 50.0-m column of oil in the pipe.