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\includegraphics[max width=\textwidth, alt={}, center]{c9e725ad-561b-4e98-9b8f-7c9d3c8e67e6-4_129_798_756_676}

A winch drags a $\log$ of mass 600 kg up a slope inclined at $10 ^ { \circ }$ to the horizontal by means of an inextensible cable of negligible mass parallel to the slope (see diagram). The coefficient of friction between the $\log$ and the slope is 0.15 , and the $\log$ is initially at rest at the foot of the slope. The acceleration of the $\log$ is $0.11 \mathrm {~m} \mathrm {~s} ^ { - 2 }$.
\begin{enumerate}[label=(\roman*)]
\item Calculate the tension in the cable.

The cable suddenly breaks after dragging the log a distance of 10 m .
\item (a) Show that the deceleration of the log while continuing to move up the slope is $3.15 \mathrm {~m} \mathrm {~s} ^ { - 2 }$, correct to 3 significant figures.\\
(b) Calculate the time taken, after the cable breaks, for the log to return to its original position at the foot of the slope.

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\end{enumerate}

\hfill \mbox{\textit{OCR M1 2010 Q7 [16]}}