| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2016 |
| Session | June |
| 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 a two-body system with constant acceleration. Part (a) requires F=ma for the combined system (T - 2g = 2×0.5), and part (b) requires considering forces on the brick alone (R - 1.5g = 1.5×0.5). Both are standard textbook exercises with clear setup and routine calculation, making this easier than average for M1. |
| Spec | 3.03c Newton's second law: F=ma one dimension3.03d Newton's second law: 2D vectors |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Marks | Notes |
| \(T - 0.5g - 1.5g = 2 \times 0.5\) | M1 A1 | Equation for whole system in \(T\) only |
| \(T = 20.6\) (N) or \(21\) (N) | A1 |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Marks | Notes |
| \(R - 1.5g = 1.5 \times 0.5\) | M1 A1 | Equation for brick only (1st alternative) |
| Force \(= 15.5\) (N) or \(15\) (N) | A1 | |
| OR: \(T - R - 0.5g = 0.5 \times 0.5\) | M1 A1 | Scale pan only (2nd alternative); \(T\) does not need to be substituted |
| Force \(= 15.5\) (N) or \(15\) (N) | A1 | N.B. If \(R\) replaced by \(-R\), can score M1A1; second A1 only if candidate explains why negative sign ignored |
## Question 2:
### Part (a)
| Working | Marks | Notes |
|---------|-------|-------|
| $T - 0.5g - 1.5g = 2 \times 0.5$ | M1 A1 | Equation for whole system in $T$ only |
| $T = 20.6$ (N) or $21$ (N) | A1 | |
### Part (b)
| Working | Marks | Notes |
|---------|-------|-------|
| $R - 1.5g = 1.5 \times 0.5$ | M1 A1 | Equation for brick only (1st alternative) |
| Force $= 15.5$ (N) or $15$ (N) | A1 | |
| **OR:** $T - R - 0.5g = 0.5 \times 0.5$ | M1 A1 | Scale pan only (2nd alternative); $T$ does not need to be substituted |
| Force $= 15.5$ (N) or $15$ (N) | A1 | N.B. If $R$ replaced by $-R$, can score M1A1; second A1 only if candidate explains why negative sign ignored |
---2.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{d408dd83-c5b2-4e55-b5c1-3e7f3faadbcb-04_327_255_283_847}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}
A vertical rope $A B$ has its end $B$ attached to the top of a scale pan. The scale pan has mass 0.5 kg and carries a brick of mass 1.5 kg , as shown in Figure 1. The scale pan is raised vertically upwards with constant acceleration $0.5 \mathrm {~m} \mathrm {~s} ^ { - 2 }$ using the rope $A B$. The rope is modelled as a light inextensible string.
\begin{enumerate}[label=(\alph*)]
\item Find the tension in the rope $A B$.
\item Find the magnitude of the force exerted on the scale pan by the brick.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2016 Q2 [6]}}