Edexcel M3 Specimen — Question 1

Exam BoardEdexcel
ModuleM3 (Mechanics 3)
SessionSpecimen
TopicCircular Motion 1

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{689d4bd3-db24-4159-986b-40496213321a-02_438_492_328_735} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} A garden game is played with a small ball \(B\) of mass \(m\) attached to one end of a light inextensible string of length 13l. The other end of the string is fixed to a point \(A\) on a vertical pole as shown in Figure 1. The ball is hit and moves with constant speed in a horizontal circle of radius \(5 l\) and centre \(C\), where \(C\) is vertically below \(A\). Modelling the ball as a particle, find
  1. the tension in the string,
  2. the speed of the ball.