Standard +0.3 This is a standard M1 friction problem requiring resolution of forces in two directions, use of F=μR, and the constant speed condition (zero acceleration). While it involves multiple steps (resolving vertically for R, horizontally for friction equation, then solving), these are routine mechanics techniques with no conceptual surprises. Slightly easier than average due to being a straightforward application of standard methods.
\includegraphics{figure_1}
A small box is pushed along a floor. The floor is modelled as a rough horizontal plane and the box is modelled as a particle. The coefficient of friction between the box and the floor is \(\frac{1}{2}\). The box is pushed by a force of magnitude 100 N which acts at an angle of 30° with the floor, as shown in Figure 1.
Given that the box moves with constant speed, find the mass of the box.
[7]
\includegraphics{figure_1}
A small box is pushed along a floor. The floor is modelled as a rough horizontal plane and the box is modelled as a particle. The coefficient of friction between the box and the floor is $\frac{1}{2}$. The box is pushed by a force of magnitude 100 N which acts at an angle of 30° with the floor, as shown in Figure 1.
Given that the box moves with constant speed, find the mass of the box.
[7]
\hfill \mbox{\textit{Edexcel M1 Q3 [7]}}