First slide

Work

Question

The potential energy of a certain spring when stretched through a distance ‘S’ is 10 joule. The amount of work (in joule) that must be done on this spring to stretch it through an additional distance ‘S’ will be

Moderate

Solution

$\frac{1}{2} {kS}^{2} = 10 J$ (given in the problem)
$\frac{1}{2} k [{(2 S)}^{2} - {(S)}^{2}] = 3 \times \frac{1}{2} {kS}^{2}$ = 3 × 10 = 30 J

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