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

Energy, work and power — practice question

A particle of mass $12\,\text{kg}$ rests on a rough plane inclined at $25^\circ$ to the horizontal. A force of magnitude $P\,\text{N}$ is applied at $8^\circ$ above the line of greatest slope of the plane. This force keeps the particle in equilibrium. The coefficient of friction between the particle and the plane is $0.3$.
(main)[6]

Find the largest possible value of $P$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Resolve the forces using three relevant terms either parallel to the plane or perpendicular to it

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