Mathematics 9709 · AS & A Level · Energy, work and power

Energy, work and power — practice question

A particle with mass $13\,\text{kg}$ lies on a rough plane inclined at an angle of $\theta$ to the horizontal, where $\tan \theta = \frac{5}{12}$. The coefficient of friction between the particle and the plane is $0.3$. A force of magnitude $T\,\text{N}$, acting parallel to the line of greatest slope, pulls the particle $2.5\,\text{m}$ up the plane at a constant speed.
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Determine the work done by this force.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: By resolving perpendicular to the plane, obtain the normal reaction, e.g. $R = 13g\cos22.6 = 120$

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