AQA M2 2011 June — Question 1 7 marks

Exam BoardAQA
ModuleM2 (Mechanics 2)
Year2011
SessionJune
Marks7
PaperDownload PDF ↗
TopicWork done and energy
TypeProjectile energy - basic KE/PE calculation
DifficultyModerate -0.8 This is a straightforward application of conservation of energy with clearly stated conditions. Part (a) requires only direct substitution into KE = ½mv², and part (b) involves a standard energy conservation equation with given heights and masses. No problem-solving insight or complex multi-step reasoning is required—just routine application of memorized formulas.
Spec6.02d Mechanical energy: KE and PE concepts6.02i Conservation of energy: mechanical energy principle

1 In an Olympic diving competition, Kim, who has mass 58 kg , dives from a fixed platform, 10 metres above the surface of the pool. She leaves the platform with a speed of \(2 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Assume that Kim's weight is the only force that acts on her after she leaves the platform. Kim is to be modelled as a particle which is initially 1 metre above the platform.
  1. Calculate Kim's initial kinetic energy.
  2. By using conservation of energy, find Kim's speed when she is 6 metres below the platform.

1 In an Olympic diving competition, Kim, who has mass 58 kg , dives from a fixed platform, 10 metres above the surface of the pool. She leaves the platform with a speed of $2 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.

Assume that Kim's weight is the only force that acts on her after she leaves the platform. Kim is to be modelled as a particle which is initially 1 metre above the platform.
\begin{enumerate}[label=(\alph*)]
\item Calculate Kim's initial kinetic energy.
\item By using conservation of energy, find Kim's speed when she is 6 metres below the platform.
\end{enumerate}

\hfill \mbox{\textit{AQA M2 2011 Q1 [7]}}