<div class=\"partText\">If it requires <span style=\"white-space: nowrap;\">7.0<

Question

<div class="partText">If it requires <span>7.0</span>&#160;<img src="http://session.masteringphysics.com/render?units=%7B%5Crm+J%7D" alt="{ m J}" align="middle" /> of work to stretch a particular spring by <span>2.1</span>&#160;<img src="http://session.masteringphysics.com/render?units=%7B%5Crm+cm%7D" alt="{ m cm}" align="middle" /> from its equilibrium length, how much more work will be required to stretch it an additional <span>4.5</span>&#160;<img src="http://session.masteringphysics.com/render?units=%7B%5Crm+cm%7D" alt="{ m cm}" align="middle" />?</div>

Explanation / Answer

the work done equals to the energy stored in the spring , W = 1/2kx^2    k = 2*w/(x^2)       = 31746.0 N/m the work done requared to strentch W = 1/2*31746.0 *(4.5*10^-2)^2        W = 32.142 J the additional work = 32.142-7                               = 25.142 J

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