Write python code to answer the question

$5)$ Accurately determining the friction factor $\text{'}f\text{'}$ for fluid flow in pipes is crucial for designing efficient piping systems. The friction factor for turbulent flow in a pipe can be determined using the ColebrookWhite equation:

$\frac{1}{\sqrt[\phantom{2}]{?}f}=-2log(\frac{\frac{}{D}}{3\mathrm{.}7}+\frac{2\mathrm{.}51}{Re\sqrt[\phantom{2}]{7}})$

where:

$f$ is the Darcy$-$Weisbach friction factor $($dimensionless$).$

Given the following data: Pipe diameter $D=10in,$ Roughness height $=0\mathrm{.}01in,$ Reynolds number $Re={10}^5($dimensionless$)$

Formulate and solve the problem to find the friction factor $\text{'}f\text{'}$ using a root$-$finding method. Clearly report your answer using text to identify your final answer. If you use bisection use $0\mathrm{.}01$ and $0\mathrm{.}1$ to bracket your answer, if you use an

open method, use $0\mathrm{.}1$ as an initial guess.