| Exam Board | AQA |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2013 |
| Session | January |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Topic | Work done and energy |
| Type | Projectile energy - basic KE/PE calculation |
| Difficulty | Moderate -0.8 This is a straightforward application of energy conservation with clearly signposted steps (a)-(c). Students simply need to recall KE = ½mv², PE = mgh, and apply conservation of energy. No problem-solving insight required—just plug values into standard formulas in the order given. |
| Spec | 6.02d Mechanical energy: KE and PE concepts6.02e Calculate KE and PE: using formulae6.02i Conservation of energy: mechanical energy principle |
1 Tim is playing cricket. He hits a ball at a point $A$. The speed of the ball immediately after being hit is $11 \mathrm {~ms} ^ { - 1 }$.
The ball strikes a tree at a point $B$. The height of $B$ is 5 metres above the height of $A$.\\
The ball is to be modelled as a particle of mass 0.16 kg being acted upon only by gravity.
\begin{enumerate}[label=(\alph*)]
\item Calculate the initial kinetic energy of the ball.
\item Calculate the potential energy gained by the ball as it moves from the point $A$ to the point $B$.
\item \begin{enumerate}[label=(\roman*)]
\item Find the kinetic energy of the ball immediately before it strikes the tree.
\item Hence find the speed of the ball immediately before it strikes the tree.
\end{enumerate}\end{enumerate}
\hfill \mbox{\textit{AQA M2 2013 Q1 [8]}}