| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2018 |
| Session | June |
| Marks | 13 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Motion on a slope |
| Type | Motion up then down slope |
| Difficulty | Standard +0.3 This is a standard M1 mechanics problem requiring resolution of forces on a slope, application of F=μR, and use of SUVAT equations. While it involves multiple parts and careful consideration of friction direction changes, the techniques are routine for M1 students with no novel problem-solving required. The tan α = 3/4 setup (giving sin α = 3/5, cos α = 4/5) is a common exam trick. Slightly above average difficulty due to the three-part structure and need to handle friction in both directions, but well within standard M1 scope. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03t Coefficient of friction: F <= mu*R model3.03v Motion on rough surface: including inclined planes |
4. A rough plane is inclined at an angle $\alpha$ to the horizontal, where $\tan \alpha = \frac { 3 } { 4 }$. A particle of mass 2 kg is projected with speed $6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ from a point $O$ on the plane, up a line of greatest slope of the plane. The coefficient of friction between the particle and the plane is 0.25
\begin{enumerate}[label=(\alph*)]
\item Find the magnitude of the frictional force acting on the particle as it moves up the plane.
The particle comes to instantaneous rest at the point $A$.
\item Find the distance $O A$.
The particle now moves down the plane from $A$.
\item Find the speed of $P$ as it passes through $O$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2018 Q4 [13]}}