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JAMB Mathematics 2015 Paper

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Question : 19

Total: 61

The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

2
1
0
3

Solution:

Let the extension be E and the tension be T.

Then $E \propto T$

$E = kT$

when T = 8N, E = 2cm

$2 = k \times 8$

$k = \frac{2}{8} = 0.25$

$\therefore E = 0.25T$

when T = 12N, $E = 0.25 \times 12 = 3\text{cm}$

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