Edexcel M2 2012 June — Question 5

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2012
SessionJune
TopicMomentum and Collisions 2

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{12cd7355-f632-4a84-825f-a269851c6ec4-08_330_570_242_657} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} A small ball \(B\) of mass 0.25 kg is moving in a straight line with speed \(30 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) on a smooth horizontal plane when it is given an impulse. The impulse has magnitude 12.5 N s and is applied in a horizontal direction making an angle of \(\left( 90 ^ { \circ } + \alpha \right)\), where \(\tan \alpha = \frac { 3 } { 4 }\), with the initial direction of motion of the ball, as shown in Figure 3.
  1. Find the speed of \(B\) immediately after the impulse is applied.
  2. Find the direction of motion of \(B\) immediately after the impulse is applied.