Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A $600\,\text{kg}$ crate is pulled up the line of greatest slope on a rough plane, using a rope fixed to a winch, at a steady speed of $2\,\text{m s}^{-1}$. The plane is inclined at $30^\circ$ to the horizontal, and the rope is parallel to the plane. The winch operates at a steady rate of $8\,\text{kW}$.
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Find the coefficient of friction between the crate and the plane.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Driving force correctly obtained from $F=\frac{P}{v}$ as $4000\text{ N}$

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