| Exam Board | Edexcel |
|---|---|
| Module | M3 (Mechanics 3) |
| Session | Specimen |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Circular Motion 1 |
| Type | Banked track – no friction (find speed or radius) |
| Difficulty | Standard +0.3 This is a standard M3 banked track problem requiring resolution of forces (normal reaction and weight) and application of circular motion formula (mv²/r). It's a single-step problem with straightforward substitution once the force diagram is drawn, making it slightly easier than average A-level questions. |
| Spec | 6.05c Horizontal circles: conical pendulum, banked tracks |
1.
\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{e256678d-89e8-48eb-aa8a-b8e027b62ef1-2_259_822_367_625}
\end{center}
\end{figure}
A car moves round a bend in a road which is banked at an angle $\alpha$ to the horizontal, as shown in Fig. 1. The car is modelled as a particle moving in a horizontal circle of radius 100 m . When the car moves at a constant speed of $14 \mathrm {~m} \mathrm {~s} ^ { - 1 }$, there is no sideways frictional force on the car.
Find, in degrees to one decimal place, the value of $\alpha$.\\
\hfill \mbox{\textit{Edexcel M3 Q1 [7]}}