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Show that the least possible value of $P$ is $0.470$, correct to $3$ significant figures, and determine the greatest possible value of $P$.
Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
A particle with mass $0.6\,\text{kg}$ rests on a rough plane that makes an angle of $21^\circ$ with the horizontal. A force of magnitude $P$, acting parallel to the line of greatest slope of the plane, holds the particle in equilibrium, as shown in the diagram. The coefficient of friction between the particle and the plane is $0.3$.