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A string of length 5cm is extended by 0.04m when a load of 0.8kg is...

Physics
JAMB 2017

A string of length 5cm is extended by 0.04m when a load of 0.8kg is suspended at the end. How far will it extend if a force of 16N is applied? [g = 10ms\(^{-2}\)]
  • A. 0.04m
  • B. 0.12m
  • C. 0.01m
  • D. 0.08m
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Correct Answer: Option D
Explanation
From Hoke's Law, F = ke, K = Constant of Force

For he first case, Force = mg,

= 0.8 × 10 = 8N

∴ 8 = k × 0.04

k = \(\frac{8}{0.04}\)

= \(\frac{200N}{m}\)

Since K is constant

For the second case, F = ke

F = 200 × e

∴ e = \(\frac{F}{200}\)

= \(\frac{16}{200}\)

= 0.08m

There is an explanation video available below.


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Explanation Video

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