Moderate -0.3 This is a standard M1 friction problem requiring resolution of forces in two directions and application of F=μR at limiting equilibrium. While it involves multiple steps (resolving horizontally and vertically, finding R, then P), the method is routine and well-practiced. The 9 marks reflect the working required rather than conceptual difficulty. Slightly easier than average due to being a textbook application of standard friction mechanics.
\includegraphics{figure_1}
A small box of mass 15 kg rests on a rough horizontal plane. The coefficient of friction between the box and the plane is 0.2. A force of magnitude \(P\) newtons is applied to the box at 50° to the horizontal, as shown in Figure 1. The box is on the point of sliding along the plane.
Find the value of \(P\), giving your answer to 2 significant figures. [9]
\includegraphics{figure_1}
A small box of mass 15 kg rests on a rough horizontal plane. The coefficient of friction between the box and the plane is 0.2. A force of magnitude $P$ newtons is applied to the box at 50° to the horizontal, as shown in Figure 1. The box is on the point of sliding along the plane.
Find the value of $P$, giving your answer to 2 significant figures. [9]
\hfill \mbox{\textit{Edexcel M1 2009 Q5 [9]}}