Syllabus Edition

First teaching 2020

Last exams 2024

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Deformation: Elastic & Plastic Behaviour (CIE AS Physics)

Exam Questions

55 mins28 questions
1a
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3 marks

A manufacturer produces springs for use in school laboratory investigations. As part of quality control the springs are spot-checked  by measuring the extension produced for certain applied loads.

The graph of the testing data is shown in Fig. 1.1

graph

Fig. 1.1

Use a graphical method to calculate the spring constant of the spring.

Show your working.

1b
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3 marks

Show that the work done in extending the spring up to point A is approximately 0.5 J.

1c
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3 marks

When the spring reaches an extension of 0.046 m, the load on it is gradually reduced to zero.

On the graph in Figure 1.1, sketch how the extension of the spring will vary with load as the load is reduced to zero.

Explain why the graph has this shape.

1d
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3 marks

Without further calculation, compare the total work done by the spring when the load is removed with the work that was done by the load in producing the extension of 0.046 m.  

Explain how this is represented on the graph drawn in part (c).

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2a
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2 marks

Materials scientists are asked to produce a material which would be suitable to use in constructing the wing of an aeroplane.

The team of scientists work with two materials, an aluminium alloy and a carbon fibre composite.

Suggest a material property which the scientists are likely to investigate and report on, and give a reason.

2b
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6 marks

Fig. 1.1 shows the stress-strain graph that the scientists obtain for the aluminium alloy.

They have labelled a point Q on the graph.

6-2-2b-m-young-modulus-graph-q-1
   
(i)
State the name of point Q and suggest why the scientists have drawn attention to it.
[3]
(ii)
Use the graph to determine the Young modulus of the aluminium alloy. Show your working.
[3]
2c
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3 marks

The aluminium alloy wire has a diameter of 1.2 mm. Calculate the elastic potential energy stored in the wire when it shows an extension of 7.5 cm under a total strain of 190 MPa. 

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3a
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2 marks

A steel bar is 40 mm long and has cross-sectional area 4.5 × 10−4 m2.

The bar is compressed using a vice so that the length is reduced by 0.20 mm.

The Young Modulus of steel = 2.1 × 1011 Pa.

Calculate the compressive force exerted on the bar.

3b
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2 marks

Calculate the work done compressing the bar.

3c
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3 marks

For the compression described in part (a)   

(i)
Sketch a graph to show the compression, assuming that the elastic limit has not been reached.
[2]
(ii)
Suggest how the elastic potential energy could be ascertained from the graph.
[1]

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