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Question

A spring 40 mm long is stretched by the application of a force. If 10 N force required to stretch the spring through 1 mm, then work done in stretching the spring through 40 mm is

A
84 J
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B
68 J
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C
24 J
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D
8 J
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Solution

The correct option is D 8 J
We know that work done by the spring force is given by
Ws=12kx2

k=Fx=10.001=104 N/m

W=12kx2=12×104×(401000)2

12×104×16104=8 J

Hence option D is the correct answer

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