Moderate -0.8 This is a straightforward application of circular motion with friction providing centripetal force. Students need only equate F=μR to mv²/r and solve for v, requiring minimal problem-solving beyond recalling the standard formula. The single-step calculation with given values makes this easier than average.
5 A parcel is placed on a flat rough horizontal surface in a van. The van is travelling along a horizontal road. It travels around a bend of radius 34 m at a constant speed. The coefficient of friction between the parcel and the horizontal surface in the van is 0.85 .
Model the parcel as a particle travelling around part of a circle of radius 34 m and centre \(O\), as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{06c3e260-8167-4616-97d4-0f360a376a0f-4_348_700_687_667}
Find the greatest speed at which the van can travel around the bend without causing the parcel to slide.
5 A parcel is placed on a flat rough horizontal surface in a van. The van is travelling along a horizontal road. It travels around a bend of radius 34 m at a constant speed. The coefficient of friction between the parcel and the horizontal surface in the van is 0.85 .
Model the parcel as a particle travelling around part of a circle of radius 34 m and centre $O$, as shown in the diagram.\\
\includegraphics[max width=\textwidth, alt={}, center]{06c3e260-8167-4616-97d4-0f360a376a0f-4_348_700_687_667}
Find the greatest speed at which the van can travel around the bend without causing the parcel to slide.
\hfill \mbox{\textit{AQA M2 2012 Q5 [6]}}