| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2006 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Friction |
| Type | Projectile on rough surface |
| Difficulty | Moderate -0.8 This is a straightforward M2 mechanics question requiring standard application of kinetic energy formula (½mv²) and equations of motion with friction. Part (a) is direct substitution, part (b) requires finding deceleration from kinematics then using F=μR=μmg. All steps are routine textbook exercises with no problem-solving insight needed, making it easier than average but not trivial due to the multi-step nature. |
| Spec | 3.03v Motion on rough surface: including inclined planes6.02a Work done: concept and definition6.02d Mechanical energy: KE and PE concepts |
A brick of mass 3 kg slides in a straight line on a horizontal floor. The brick is modelled as a particle and the floor as a rough plane. The initial speed of the brick is 8 m s$^{-1}$. The brick is brought to rest after moving 12 m by the constant frictional force between the brick and the floor.
\begin{enumerate}[label=(\alph*)]
\item Calculate the kinetic energy lost by the brick in coming to rest, stating the units of your answer. [2]
\item Calculate the coefficient of friction between the brick and the floor. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2006 Q1 [6]}}