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5. Stress, strain and Young's modulus (15 minutes) - Pearson

5. Stress, strain and Young's modulus (15 minutes) - Pearson

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Questions:<br />

LEVEL: AS<br />

PHYSICS – Mechanics<br />

<strong>5.</strong> <strong>Stress</strong>, <strong>strain</strong> <strong>and</strong> Young’s <strong>modulus</strong> (<strong>15</strong> <strong>minutes</strong>)<br />

(a) Define the terms ‘tensile stress’, ‘tensile <strong>strain</strong>’ <strong>and</strong> ‘Young Modulus’, <strong>and</strong> state the S.I. units of each<br />

term.<br />

(6 marks)<br />

…………………………………………………………………………………………………..<br />

…………………………………………………………………………………………………..<br />

…………………………………………………………………………………………………..<br />

(b) Two materials, A <strong>and</strong> B, are used to make cables of identical cross section <strong>and</strong> length, to lift identical<br />

loads. If A has a greater Young’s Modulus than B, which cable will stretch the most when loaded<br />

(1 mark)<br />

…………………………………………………………………………………………………..<br />

(c) A student is given a wire made of an unknown metal <strong>and</strong> asked to determine its Young’s Modulus.<br />

The student uses a vernier scale to measure the wire’s extension under a range of loads. Results are<br />

shown below.<br />

Load (N) Extension (m x 10 -3 )<br />

<strong>5.</strong>0 0.9<br />

10.0 1.6<br />

1<strong>5.</strong>0 2.2<br />

20.0 2.8<br />

2<strong>5.</strong>0 3.4<br />

30.0 4.0<br />

(i) Plot a graph of load against extension (use the grid provided).<br />

(4 marks)<br />

Copyright © <strong>Pearson</strong> Education Limited 2001 1


Questions:<br />

LEVEL: AS<br />

PHYSICS – Mechanics<br />

(ii) Given that the wire’s diameter is 1.12 mm <strong>and</strong> its unstretched length is 2.060 m, find the Young’s<br />

Modulus of the metal.<br />

(4 marks)<br />

…………………………………………………………………………………………………..<br />

…………………………………………………………………………………………………..<br />

…………………………………………………………………………………………………..<br />

…………………………………………………………………………………………………..<br />

(Total marks <strong>15</strong>)<br />

ANSWERS<br />

Copyright © <strong>Pearson</strong> Education Limited 2001 2

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