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 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
$30$
$40$
$10$
$20$
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
$\frac{1}{2}k{S^2} = 10\;J$ (given in the problem)
$\frac{1}{2}k\left[ {{{(2S)}^2} - {{(S)}^2}} \right] = 3 \times \frac{1}{2}k{S^2}$
$= 3 × 10 = 30 J$
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