The power winch \(A\) hoists the \(800-\mathrm{lb}\) log up the \(30^{\circ}\) incline at a constant speed of \(4 \mathrm{ft} / \mathrm{sec}\). If the power output of the winch is \(6 \mathrm{hp}\), compute the coefficient of kinetic friction \(\mu_{k}\) between the \(\log\) and the incline. If the power is suddenly increased to \(8 \mathrm{hp}\), what is the corresponding instantaneous acceleration \(a\) of the log?

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4 ft/sec A 30