| Exam Board | AQA |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2012 |
| Session | June |
| 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 conservation of energy with clearly defined steps: calculate initial KE, find PE loss, add them for final KE, then find final speed. All formulas are standard (KE = ½mv², PE = mgh) with no problem-solving insight required, just direct substitution into well-rehearsed mechanics formulas. Easier than average due to its routine, multi-part structure guiding students through each step. |
| Spec | 6.02d Mechanical energy: KE and PE concepts6.02i Conservation of energy: mechanical energy principle |
1 Alan, of mass 76 kg , performed a ski jump. He took off at the point $A$ at the end of the ski run with a speed of $28 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ and landed at the point $B$.
The level of the point $B$ is 31 metres vertically below the level of the point $A$, as shown in the diagram.
Assume that his weight is the only force that acted on Alan during the jump.\\
\includegraphics[max width=\textwidth, alt={}, center]{088327c1-acd3-486d-b76f-1fe2560ffaff-2_581_914_664_571}
\begin{enumerate}[label=(\alph*)]
\item Calculate the kinetic energy of Alan when he was at the point $A$.
\item Calculate the potential energy lost by Alan during the jump as he moved from the point $A$ to the point $B$.
\item \begin{enumerate}[label=(\roman*)]
\item Find the kinetic energy of Alan when he reached the point $B$.
\item Hence find the speed of Alan when he reached the point $B$.
\end{enumerate}\end{enumerate}
\hfill \mbox{\textit{AQA M2 2012 Q1 [8]}}