| Exam Board | OCR |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 15 |
| 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 inclined plane problem with friction requiring application of Newton's second law in multiple phases. While it involves several steps (finding deceleration, resolving forces, calculating coefficient of friction, then reversing direction), each step follows routine mechanics procedures without requiring novel insight. The multi-part structure and 15 marks indicate moderate length, but the techniques are all textbook applications of F=ma and SUVAT equations. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.02h Motion under gravity: vector form3.03f Weight: W=mg3.03r Friction: concept and vector form3.03v Motion on rough surface: including inclined planes |
A particle of mass $0.1$ kg is at rest at a point $A$ on a rough plane inclined at $15°$ to the horizontal. The particle is given an initial velocity of $6$ m s$^{-1}$ and starts to move up a line of greatest slope of the plane. The particle comes to instantaneous rest after $1.5$ s.
\begin{enumerate}[label=(\roman*)]
\item Find the coefficient of friction between the particle and the plane. [7]
\item Show that, after coming to instantaneous rest, the particle moves down the plane. [2]
\item Find the speed with which the particle passes through $A$ during its downward motion. [6]
\end{enumerate}
\hfill \mbox{\textit{OCR M1 Q7 [15]}}