If it requires 7.0J of work to stretch a particular spring by 1.8cm from its equilibrium length, how much more work will be required to stretch it an additional 4.2cm ?
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Work done on the spring gets stored as its potential energy. Potential energy of a spring is given by \(\large\sf \frac{1}{2}kx^2\). -->\(\large\sf \frac{1}{2}k(1.8\times10^{-2})^2=7\). Now find the value of k
Substitute this value in the equation \(\large\sf \frac{1}{2}k(4.2\times10^{-2})^2\). This will give you the work required in displacing the spring by 4.2 cm. Subtract 7 from it and it will give you the answer.
Got it ?
yeah i think i get now thanks
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