A logging boat is towing a \(\log\) at \(1.5 \mathrm{~m} / \mathrm{s}\) against a river current that is \(1 \mathrm{~m} / \mathrm{s}\). The \(\log\) is \(0.5 \mathrm{~m}\) in diameter and \(2 \mathrm{~m}\) long.

(a) Estimate the power required if the axis of the \(\log\) is parallel to the flow.

(b) Estimate the power required if the axis of the \(\log\) is perpendicular to the flow.

(c) Explain any reason(s) why the actual power required may be different than your estimates.