| Exam Board | Edexcel |
|---|---|
| Module | FM1 (Further Mechanics 1) |
| Session | Specimen |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Momentum and Collisions |
| Type | Vector impulse: find velocity or speed after impulse |
| Difficulty | Standard +0.3 This is a straightforward application of impulse-momentum theorem and kinetic energy formula with vectors. Students must find final velocity using impulse, then calculate KE before and after. The arithmetic is simple (given masses/vectors have convenient values), and the 'show that' format confirms the expected answer. Slightly above average difficulty due to vector manipulation and multi-step calculation, but remains a standard Further Mechanics exercise. |
| Spec | 1.10a Vectors in 2D: i,j notation and column vectors6.03e Impulse: by a force6.03f Impulse-momentum: relation |
\begin{enumerate}
\item A particle $P$ of mass 0.5 kg is moving with velocity $( 4 \mathbf { i } + \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }$ when it receives an impulse $( 2 \mathbf { i } - \mathbf { j } )$ Ns.
\end{enumerate}
Show that the kinetic energy gained by $P$ as a result of the impulse is 12 J .
\hfill \mbox{\textit{Edexcel FM1 Q1 [6]}}