3 A disc of mass 0.5 kg is moving with speed \(3 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) on a smooth horizontal surface when it receives a horizontal impulse in a direction perpendicular to its direction of motion. Immediately after the impulse, the disc has speed \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
- Find the magnitude of the impulse received by the disc.
- Before the impulse, the disc is moving parallel to a smooth vertical wall, as shown in the diagram.
\section*{11/1/1/1/1/1/1/1/1/1/1/1/ Wall}
$$\overbrace { 3 \mathrm {~ms} ^ { - 1 } } ^ { \underset { < } { \bigcirc } } \text { Disc }$$
After the impulse, the disc hits the wall and rebounds with speed \(3 \sqrt { 2 } \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
Find the coefficient of restitution between the disc and the wall.
[0pt]
[4 marks]