| Exam Board | CAIE |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2023 |
| Session | March |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Power and driving force |
| Type | Find power at constant speed |
| Difficulty | Moderate -0.8 This is a straightforward power-force-velocity question requiring P=Fv to find speed (part a), then basic kinematics with constant deceleration (part b). Both parts use standard formulas with no problem-solving insight needed, making it easier than average but not trivial due to the two-part structure. |
| Spec | 6.02l Power and velocity: P = Fv |
| Answer | Marks |
|---|---|
| 1(a) | 60015 |
| Answer | Marks | Guidance |
|---|---|---|
| t | M1 | Use of power = ∆W / ∆t to get an equation in t. |
| Answer | Marks |
|---|---|
| t=2s | A1 |
| Answer | Marks | Guidance |
|---|---|---|
| 1(b) | 600=200a a=3 | *M1 |
| Answer | Marks | Guidance |
|---|---|---|
| their 2 | DM1 | Use of constant acceleration to set up an equation that would |
| Answer | Marks |
|---|---|
| t=2.5s | A1 |
| Answer | Marks | Guidance |
|---|---|---|
| Question | Answer | Marks |
Question 1:
--- 1(a) ---
1(a) | 60015
4500=
t | M1 | Use of power = ∆W / ∆t to get an equation in t.
May see 600v=4500 v=7.5 followed by 7.5t=15.
t=2s | A1
2
--- 1(b) ---
1(b) | 600=200a a=3 | *M1 | Use of Newton’s second law; 2 terms only.
15
0= +(their−3)t
their 2 | DM1 | Use of constant acceleration to set up an equation that would
lead to a positive t, e.g. v=u+at with their t=2 and their
negative a (and possibly their 7.5 from (a)).
t=2.5s | A1
3
Question | Answer | Marks | GuidanceA crate of mass 200 kg is being pulled at constant speed along horizontal ground by a horizontal rope attached to a winch. The winch is working at a constant rate of 4.5 kW and there is a constant resistance to the motion of the crate of magnitude 600 N.
\begin{enumerate}[label=(\alph*)]
\item Find the time that it takes for the crate to move a distance of 15 m. [2]
The rope breaks after the crate has moved 15 m.
\item Find the time taken, after the rope breaks, for the crate to come to rest. [3]
\end{enumerate}
\hfill \mbox{\textit{CAIE M1 2023 Q1 [5]}}