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Work, Energy And Power

Question
CBSEENPH11017255

25 J of work is required to stretch the spring by 2cm. Find the work required to be done to further extend the spring by 4cm.

Solution
Given, 
Amount of work required to stretch the spring = 25 J 
Let k be the spring constant of the spring.
As 25J of work is required to stretch the spring by 2cm, thus 
            25 equals 1 half straight k left parenthesis 0.02 right parenthesis squared                            ...(1) 
Let W work be required to further stretch the spring by 4 cm.
Therefore, 
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#6 {main}</pre>               ...(2) 
Dividing equation (2) by (1), we get 
               straight W over 25 equals fraction numerator left parenthesis 0.06 right parenthesis squared minus left parenthesis 0.02 right parenthesis squared over denominator left parenthesis 0.02 right parenthesis squared end fraction equals 8 
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#6 {main}</pre>