Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A small box of mass $5\,\text{kg}$ is dragged at a steady speed of $2.5\,\text{m s}^{-1}$ down the line of greatest slope on a rough plane inclined at $10^{\circ}$ to the horizontal. The pulling force is $20\,\text{N}$ and acts downward, parallel to the plane’s line of greatest slope.
(i)[5]

Find the coefficient of friction for the box on the plane.

(ii)[4]

While the box is travelling at $2.5\,\text{m s}^{-1}$, the pulling force is taken away. Find the distance travelled by the box from the moment the pulling force is removed.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve the components of the forces down the plane

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