AQA M2 2016 June — Question 1 8 marks

Exam BoardAQA
ModuleM2 (Mechanics 2)
Year2016
SessionJune
Marks8
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicWork done and energy
TypeProjectile energy - basic KE/PE calculation
DifficultyModerate -0.8 This is a straightforward energy conservation problem requiring only standard formula application: KE = ½mv², PE = mgh, and conservation of mechanical energy. All steps are routine M2 techniques with no problem-solving insight needed, making it easier than average but not trivial due to the multi-step nature and 8 total marks.
Spec6.02d Mechanical energy: KE and PE concepts6.02e Calculate KE and PE: using formulae6.02i Conservation of energy: mechanical energy principle

A stone, of mass \(0.3\) kg, is thrown with a speed of \(8 \text{ m s}^{-1}\) from a point at a height of \(5\) metres above a horizontal surface.
  1. Calculate the initial kinetic energy of the stone. [2 marks]
    1. Find the kinetic energy of the stone when it hits the surface. [3 marks]
    2. Hence find the speed of the stone when it hits the surface. [2 marks]
    3. State one modelling assumption that you have made. [1 mark]

A stone, of mass $0.3$ kg, is thrown with a speed of $8 \text{ m s}^{-1}$ from a point at a height of $5$ metres above a horizontal surface.

\begin{enumerate}[label=(\alph*)]
\item Calculate the initial kinetic energy of the stone.
[2 marks]

\item \begin{enumerate}[label=(\roman*)]
\item Find the kinetic energy of the stone when it hits the surface.
[3 marks]

\item Hence find the speed of the stone when it hits the surface.
[2 marks]

\item State one modelling assumption that you have made.
[1 mark]
\end{enumerate}
\end{enumerate}

\hfill \mbox{\textit{AQA M2 2016 Q1 [8]}}