Momentum and impulse as vectorsEdexcel A-Level Further Maths: Mind map

Exam questions on Momentum and impulse as vectors

1. A ball of mass $0.5$ kg moves on a smooth horizontal surface with velocity $(4\mathbf{i}-3\mathbf{j})$ m s$^{-1}$ when it is struck by a club. Immediately afterwards its velocity is $(-2\mathbf{i}+5\mathbf{j})$ m s$^{-1}$. The unit vectors $\mathbf{i}$ and $\mathbf{j}$ are horizontal and perpendicular. The club is in contact with the ball for $0.1$ s.
   Find the magnitude of the average force exerted by the club on the ball.2 marks
2. Particles $A$ and $B$, of masses $2$ kg and $3$ kg, move on a smooth horizontal surface and collide. Before the collision $A$ has velocity $(3\mathbf{i}+\mathbf{j})$ m s$^{-1}$ and $B$ has velocity $(-2\mathbf{i}+4\mathbf{j})$ m s$^{-1}$. After the collision $A$ has velocity $(-3\mathbf{i}+4\mathbf{j})$ m s$^{-1}$.
   Find the impulse exerted by $A$ on $B$.2 marks
3. A ball of mass $0.4$ kg moves on a smooth horizontal surface and strikes a smooth fixed vertical wall that is parallel to the unit vector $\mathbf{i}$. Just before the impact its velocity is $(6\mathbf{i}-8\mathbf{j})$ m s$^{-1}$ and just after it is $(6\mathbf{i}+4\mathbf{j})$ m s$^{-1}$. The ball is in contact with the wall for $0.02$ s.
   Find the impulse exerted by the wall on the ball, and state the direction of this impulse relative to the wall.3 marks