| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2005 |
| Session | January |
| Marks | 13 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Momentum and Collisions |
| Type | Rebound from wall or barrier |
| Difficulty | Moderate -0.3 This is a standard M1 mechanics question testing basic kinematics (SUVAT equations) and Newton's second law with straightforward application of impulse-momentum theorem. Parts (a)-(c) are routine calculations requiring only direct formula application. Part (d) requires more steps but follows a predictable structure: find rebound speed from impulse, then use equations of motion with constant deceleration. The multi-step nature and 6 marks elevate it slightly, but it remains a textbook exercise with no novel problem-solving required, making it slightly easier than average overall. |
| Spec | 3.02d Constant acceleration: SUVAT formulae6.02a Work done: concept and definition6.03e Impulse: by a force6.03f Impulse-momentum: relation |
| Answer | Marks |
|---|---|
| 6 | (a) 162 = 202 – 2 x a x 24 ⇒ a = 3 m s–2 M1 A1 |
Question 6:
6 | (a) 162 = 202 – 2 x a x 24 ⇒ a = 3 m s–2 M1 A1
(2)
(b) v2 = 202 – 2 x 3 x 30 M1 A1√
v = √220 or 14.8 m s–1 A1
(3)
(c) 0.3 = m x 3 ⇒ m = 0.1 kg (*) M1 A1
(2)
(d) 0.1(w + √220) = 2.4 M1 A1√
w = 9.17 A1
↓
0 = 9,17 – 3 x t M1 A1√
t ≈ 3.06 s A1
(6)A stone $S$ is sliding on ice. The stone is moving along a straight horizontal line $ABC$, where $AB = 24$ m and $AC = 30$ m. The stone is subject to a constant resistance to motion of magnitude 0.3 N. At $A$ the speed of $S$ is 20 m s$^{-1}$, and at $B$ the speed of $S$ is 16 m s$^{-1}$. Calculate
\begin{enumerate}[label=(\alph*)]
\item the deceleration of $S$, [2]
\item the speed of $S$ at $C$. [3]
\item Show that the mass of $S$ is 0.1 kg. [2]
\end{enumerate}
At $C$, the stone $S$ hits a vertical wall, rebounds from the wall and then slides back along the line $CA$. The magnitude of the impulse of the wall on $S$ is 2.4 Ns and the stone continues to move against a constant resistance of 0.3 N.
\begin{enumerate}[label=(\alph*)]\setcounter{enumi}{3}
\item Calculate the time between the instant that $S$ rebounds from the wall and the instant that $S$ comes to rest. [6]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2005 Q6 [13]}}