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Determine the range of values that $P$ may take.
Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
A particle with mass $0.12\,\text{kg}$ rests on a plane that is tilted at $40^\circ$ to the horizontal. A force of size $P\,\text{N}$ acts up the plane at $30^\circ$ above a line of greatest slope, as shown in the diagram, and the particle is in equilibrium. The coefficient of friction between the particle and the plane is $0.32$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “By resolving perpendicular to the plane, use $R + P \sin 30 = 0.12g \cos 40$.” …
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