| Exam Board | OCR |
|---|---|
| Module | FM1 AS (Further Mechanics 1 AS) |
| Year | 2021 |
| Session | June |
| Marks | 7 |
| Topic | Momentum and Collisions 1 |
| Type | Particle-wall perpendicular collision |
| Difficulty | Moderate -0.8 This is a straightforward application of standard momentum and collision formulas (coefficient of restitution, impulse, kinetic energy) with no problem-solving required. All parts follow directly from definitions with simple arithmetic, making it easier than average even for Further Maths students. |
| Spec | 6.02d Mechanical energy: KE and PE concepts6.03f Impulse-momentum: relation6.03i Coefficient of restitution: e6.03j Perfectly elastic/inelastic: collisions |
1 A particle $P$ of mass 4.5 kg is moving in a straight line on a smooth horizontal surface at a speed of $2.4 \mathrm {~ms} ^ { - 1 }$ when it strikes a vertical wall directly. It rebounds at a speed of $1.6 \mathrm {~ms} ^ { - 1 }$.
\begin{enumerate}[label=(\alph*)]
\item Find the coefficient of restitution between $P$ and the wall.
\item Determine the impulse applied to $P$ by the wall, stating its direction.
\item Find the loss of kinetic energy of $P$ as a result of the collision.
\item State, with a reason, whether the collision is perfectly elastic.
\end{enumerate}
\hfill \mbox{\textit{OCR FM1 AS 2021 Q1 [7]}}