Standard +0.3 This is a standard M1 equilibrium problem requiring resolution of forces in two directions, use of F=μR, and solving simultaneous equations. While it involves multiple steps (resolving horizontally and vertically, friction law, algebra), these are routine techniques practiced extensively in M1. The 30° angle and coefficient of 3/4 make the arithmetic straightforward. This is slightly easier than average as it follows a standard template with no conceptual surprises.
\includegraphics{figure_1}
A heavy suitcase \(S\) of mass 50 kg is moving along a horizontal floor under the action of a force of magnitude \(P\) newtons. The force acts at 30° to the floor, as shown in Fig. 1, and \(S\) moves in a straight line at constant speed. The suitcase is modelled as a particle and the floor as a rough horizontal plane. The coefficient of friction between \(S\) and the floor is \(\frac{3}{4}\).
Calculate the value of \(P\). [9]
\includegraphics{figure_1}
A heavy suitcase $S$ of mass 50 kg is moving along a horizontal floor under the action of a force of magnitude $P$ newtons. The force acts at 30° to the floor, as shown in Fig. 1, and $S$ moves in a straight line at constant speed. The suitcase is modelled as a particle and the floor as a rough horizontal plane. The coefficient of friction between $S$ and the floor is $\frac{3}{4}$.
Calculate the value of $P$. [9]
\hfill \mbox{\textit{Edexcel M1 2003 Q3 [9]}}