| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2022 |
| Session | October |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Newton's laws and connected particles |
| Type | Lift with passenger or load |
| Difficulty | Moderate -0.8 This is a straightforward application of Newton's second law to connected particles with constant acceleration. Part (a) requires a single F=ma equation for the lift (T - mg = ma), and part (b) similarly applies F=ma to Alan (R - mg = ma using the acceleration from part (a)). Both parts involve routine substitution into standard formulas with no conceptual challenges or problem-solving insight required. |
| Spec | 3.03c Newton's second law: F=ma one dimension3.03f Weight: W=mg |
| Answer | Marks | Guidance |
|---|---|---|
| 4(a) | 3616−250g−565−226=250a | M1 A1 |
| a=1.5 (m s−2) | A1 |
| Answer | Marks |
|---|---|
| 4(a) | M1 Equation in a only, correct no. of terms, condone sign errors |
| Answer | Marks | Guidance |
|---|---|---|
| 4(b) | 5 6 5 − m g = m 1 .5 | M1A1ft |
| m = 50 (kg) | A1 |
| Answer | Marks |
|---|---|
| 4(b) | M1 Equation in m (mass of A) only, correct terms, condone sign errors |
Question 4:
--- 4(a) ---
4(a) | 3616−250g−565−226=250a | M1 A1
a=1.5 (m s−2) | A1
(3)
4(a) | M1 Equation in a only, correct no. of terms, condone sign errors
A1 Correct equation
A1 oe
--- 4(b) ---
4(b) | 5 6 5 − m g = m 1 .5 | M1A1ft
m = 50 (kg) | A1
(3)
(6)
Notes for question 4
4(b) | M1 Equation in m (mass of A) only, correct terms, condone sign errors
A1ft Correct equation ft on their a
A1 cao\includegraphics{figure_3}
Two children, Alan and Bhavana, are standing on the horizontal floor of a lift, as shown in Figure 3.
The lift has mass 250 kg. The lift is raised vertically upwards with constant acceleration by a vertical cable which is attached to the top of the lift. The cable is modelled as being light and inextensible. While the lift is accelerating upwards, the tension in the cable is 3616 N.
As the lift accelerates upwards, the floor of the lift exerts a force of magnitude 565 N on Alan and a force of magnitude 226 N on Bhavana.
Air resistance is modelled as being negligible and Alan and Bhavana are modelled as particles.
\begin{enumerate}[label=(\alph*)]
\item By considering the forces acting on the lift only, find the acceleration of the lift. [3]
\item Find the mass of Alan. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2022 Q4 [6]}}