$3.$ A smooth wire $($diameter $\backslash ($ d $\backslash ))$ is pulled through a tank that is filled with a liquid. The wire is wetted over a length $\backslash ($ L $\backslash ).$ Consider the force $\backslash ($ F $\backslash )$ needed to pull the wire at a constant velocity $\backslash ($ v $\backslash )$ through the liquid.

Q$1$: Which variables does force $\backslash ($ F $\backslash )$ depend on$?$ List up all possible properties $($variables$)$ that contribute to $\backslash ($ F $\backslash )$

Q$2$: By means of which non$-$dimensional groups can this process be described? Use Buckingham $\backslash (\backslash$pi $\backslash )$ technique to solve. Show step$-$by$-$step process.