| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2021 |
| 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 question involving motion on a rough inclined plane with friction. It requires resolving forces (using tan θ = 5/12 to find sin θ and cos θ), applying F = μR, and using SUVAT equations twice (up and down). While multi-part with several steps, it follows a completely standard template that students practice extensively, making it slightly easier than the average A-level question. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03r Friction: concept and vector form3.03t Coefficient of friction: F <= mu*R model3.03v Motion on rough surface: including inclined planes |
\begin{enumerate}
\item A fixed rough plane is inclined at an angle $\theta$ to the horizontal, where $\tan \theta = \frac { 5 } { 12 }$
\end{enumerate}
A particle of mass 6 kg is projected with speed $5 \mathrm {~ms} ^ { - 1 }$ from a point $A$ on the plane, up a line of greatest slope of the plane.
The coefficient of friction between the particle and the plane is $\frac { 1 } { 4 }$\\
(a) 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 $B$.\\
(b) Find the distance $A B$.
The particle now slides down the plane from $B$. At the instant when the particle passes through the point $C$ on the plane, the speed of the particle is again $5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$\\
(c) Find the distance $B C$.
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\hfill \mbox{\textit{Edexcel M1 2021 Q6 [13]}}