| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2011 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Momentum and Collisions |
| Type | Collision with vector velocities |
| Difficulty | Moderate -0.3 This is a straightforward two-dimensional momentum conservation problem requiring vector component equations. Students apply conservation of momentum in i and j directions separately to find two unknowns. While it involves vectors, the method is standard M1 fare with no conceptual challenges beyond routine application of the conservation principle. |
| Spec | 6.03b Conservation of momentum: 1D two particles6.03d Conservation in 2D: vector momentum |
4 Two particles, $A$ and $B$, are moving on a smooth horizontal surface when they collide. The mass of $A$ is 6 kg and the mass of $B$ is $m \mathrm {~kg}$. Before the collision, the velocity of $A$ is $( 5 \mathbf { i } + 18 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }$ and the velocity of $B$ is $( 2 \mathbf { i } - 5 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }$. After the collision, the velocity of $A$ is $8 \mathbf { i } \mathrm {~ms} ^ { - 1 }$ and the velocity of $B$ is $V \mathbf { j } \mathrm {~ms} ^ { - 1 }$.
\begin{enumerate}[label=(\alph*)]
\item Find $m$.
\item $\quad$ Find $V$.
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2011 Q4 [6]}}