| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2004 |
| Session | June |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Impulse and momentum (advanced) |
| Type | Energy change from impulse |
| Difficulty | Moderate -0.8 This is a straightforward application of impulse-momentum theorem in 2D. Part (a) requires simple vector addition (impulse = change in momentum), part (b) uses basic trigonometry to find the angle between initial and final velocity vectors, and part (c) applies the kinetic energy formula. All steps are routine calculations with no problem-solving insight required, making it easier than average but not trivial due to the vector manipulation. |
| Spec | 6.03f Impulse-momentum: relation |
2. [In this question $\mathbf { i }$ and $\mathbf { j }$ are perpendicular unit vectors in a horizontal plane.]
A ball has mass 0.2 kg . It is moving with velocity ( 30 i ) $\mathrm { m } \mathrm { s } ^ { - 1 }$ when it is struck by a bat. The bat exerts an impulse of $( - 4 \mathbf { i } + 4 \mathbf { j } )$ Ns on the ball.
Find
\begin{enumerate}[label=(\alph*)]
\item the velocity of the ball immediately after the impact,
\item the angle through which the ball is deflected as a result of the impact,
\item the kinetic energy lost by the ball in the impact.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2004 Q2 [9]}}