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

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Solution

The correct option is A 30
$\frac{1}{2} k S^{2} = 10 J$ (given in the problem)
$\frac{1}{2} k [(2 S)^{2} - (S)^{2}] = 3 \times \frac{1}{2} k S^{2} = 3 \times 10 = 30 J$

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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

The correct option is A 30 12kS2 = 10 J (given in the problem) 12k [(2S)2−(S)2] = 3×12kS2 = 3×10 = 30 J

The correct option is A 30
$\frac{1}{2} k S^{2} = 10 J$ (given in the problem)
$\frac{1}{2} k [(2 S)^{2} - (S)^{2}] = 3 \times \frac{1}{2} k S^{2} = 3 \times 10 = 30 J$