A simple pendulum serves as a device for estimating wind speed. A small ball of mass \(m=100\) \(\mathrm{g}\) hangs from the end of the pendulum of length \(l=1 \mathrm{~m}\). Blow the wind in a horizontal direction and the small ball, initially at rest, rises until the wire forms an angle \(\theta=25^{\circ}\) with the vertical. Calculate the work \(W\) done by the wind to lift the small ball and the speed with which the wind is blowing. The force exerted by the wind on the small ball depends on the speed \(v\) of the wind and is schematized by the relation \(F=-\eta v\), with \(\eta=4.010^{-2} \mathrm{~N} / \mathrm{s}\).