OCR MEI M1 2013 June — Question 1 3 marks

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
Year2013
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicNewton's laws and connected particles
TypeLift with passenger or load
DifficultyEasy -1.2 This is a straightforward force diagram question requiring only identification of three forces (weight downward, normal reaction from below upward, normal reaction from above downward) on a block in equilibrium. It tests basic understanding of Newton's laws with no calculation or problem-solving required, making it easier than average.
Spec3.03a Force: vector nature and diagrams3.03b Newton's first law: equilibrium3.03f Weight: W=mg

1 Fig. 1 shows a pile of four uniform blocks in equilibrium on a horizontal table. Their masses, as shown, are \(4 \mathrm {~kg} , 5 \mathrm {~kg} , 7 \mathrm {~kg}\) and 10 kg . \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{83e69140-4abf-4713-85da-922ce7530e47-2_400_568_434_751} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} Mark on the diagram the magnitude and direction of each of the forces acting on the 7 kg block.

Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
Weight \(7g = 68.6\) N acting downwardsB1 Must have correct direction
Normal reaction from 5 kg block on top: \((4+7)g = 110\) N... wait — Normal reaction from 5kg block = \((4+5)g\)... Normal force down from 5 kg block = \(4g = 39.2\) N downwardB1 Force from block above = weight of 4 kg block
Normal reaction from 10 kg block upward = \((4+5+7)g = 156.8\) N upwardB1 All three forces correctly labelled with directions
# Question 1:

| Answer | Marks | Guidance |
|--------|-------|----------|
| Weight $7g = 68.6$ N acting downwards | B1 | Must have correct direction |
| Normal reaction from 5 kg block on top: $(4+7)g = 110$ N... wait — Normal reaction from 5kg block = $(4+5)g$... Normal force down from 5 kg block = $4g = 39.2$ N downward | B1 | Force from block above = weight of 4 kg block |
| Normal reaction from 10 kg block upward = $(4+5+7)g = 156.8$ N upward | B1 | All three forces correctly labelled with directions |

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1 Fig. 1 shows a pile of four uniform blocks in equilibrium on a horizontal table. Their masses, as shown, are $4 \mathrm {~kg} , 5 \mathrm {~kg} , 7 \mathrm {~kg}$ and 10 kg .

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{83e69140-4abf-4713-85da-922ce7530e47-2_400_568_434_751}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{center}
\end{figure}

Mark on the diagram the magnitude and direction of each of the forces acting on the 7 kg block.

\hfill \mbox{\textit{OCR MEI M1 2013 Q1 [3]}}