AQA M2 2012 January — Question 1 8 marks

Exam BoardAQA
ModuleM2 (Mechanics 2)
Year2012
SessionJanuary
Marks8
PaperDownload PDF ↗
TopicWork done and energy
TypeProjectile energy - basic KE/PE calculation
DifficultyModerate -0.8 This is a straightforward application of standard energy formulas (KE = ½mv², PE = mgh) with direct substitution and one-step energy conservation. All parts are routine calculations requiring only recall of basic mechanics formulas with no problem-solving insight or multi-step reasoning needed.
Spec6.02d Mechanical energy: KE and PE concepts6.02e Calculate KE and PE: using formulae6.02i Conservation of energy: mechanical energy principle

1 A plane is dropping packets of aid as it flies over a flooded village. The speed of a packet when it leaves the plane is \(60 \mathrm {~ms} ^ { - 1 }\). The packet has mass 25 kg . The packet falls a vertical distance of 34 metres to reach the ground.
  1. Calculate the kinetic energy of the packet when it leaves the plane.
  2. Calculate the potential energy lost by the packet as it falls to the ground.
  3. Assume that the effect of air resistance on the packet as it falls can be neglected.
    1. Find the kinetic energy of the packet when it reaches the ground.
    2. Hence find the speed of the packet when it reaches the ground.

1 A plane is dropping packets of aid as it flies over a flooded village. The speed of a packet when it leaves the plane is $60 \mathrm {~ms} ^ { - 1 }$. The packet has mass 25 kg .

The packet falls a vertical distance of 34 metres to reach the ground.
\begin{enumerate}[label=(\alph*)]
\item Calculate the kinetic energy of the packet when it leaves the plane.
\item Calculate the potential energy lost by the packet as it falls to the ground.
\item Assume that the effect of air resistance on the packet as it falls can be neglected.
\begin{enumerate}[label=(\roman*)]
\item Find the kinetic energy of the packet when it reaches the ground.
\item Hence find the speed of the packet when it reaches the ground.
\end{enumerate}\end{enumerate}

\hfill \mbox{\textit{AQA M2 2012 Q1 [8]}}