A force vs extension graph of a spring is as shown. The work done in extending the spring is

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ISRO VSSC Technical Assistant Mechanical 25 Feb 2018 Official Paper
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  1. 10 J
  2. 5 J
  3. 5000 J
  4. 500 J

Answer (Detailed Solution Below)

Option 2 : 5 J
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Detailed Solution

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Concept:

Work done = Area under force deflection diagram

\(Work ~done = \frac 12 \times Force\times deflection\)

Calculation:

Given:

Gradual loading

Force = 100 N, deflection = 100 mm = 0.1 m

\(Work ~done = \frac 12 \times Force\times deflection\)

\(Work ~done = \frac 12 \times 100\times 0.1=5~J\)

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