| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2018 |
| Session | January |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Motion on a slope |
| Type | Motion down rough slope |
| Difficulty | Moderate -0.3 This is a standard M1 mechanics problem requiring resolution of forces on a slope (weight components, friction, normal reaction) and application of F=ma followed by a kinematics equation. While it involves multiple steps, the method is entirely routine and follows a well-practiced template taught in all M1 courses. The calculations are straightforward with the given coefficient of friction and angle, making it slightly easier than average for A-level. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03v Motion on rough surface: including inclined planes |
\begin{enumerate}
\item A package of mass 6 kg is held at rest at a fixed point $A$ on a rough plane. The plane is inclined at $30 ^ { \circ }$ to the horizontal. The package is released from rest and slides down a line of greatest slope of the plane. The coefficient of friction between the package and the plane is $\frac { 1 } { 4 }$. The package is modelled as a particle.\\
(a) Find the magnitude of the acceleration of the package.
\end{enumerate}
As it slides down the slope the package passes through the point $B$, where $A B = 10 \mathrm {~m}$.\\
(b) Find the speed of the package as it passes through $B$.
\hfill \mbox{\textit{Edexcel M1 2018 Q4 [8]}}