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The potential energy of a certain spring...

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

A

10 J

B

20 J

C

30 J

D

40 J

Text Solution

Verified by Experts

The correct Answer is:
C
Potential energy of the spring when stretched through a distance x,
`U=1/2kx^2=10 J`
When x becomes 2x, the potential energy will be
`U'=1/2k(2x)^2=4xx1/2kx^2 =4xx10 =40 J`
`therefore` Work done = U'-U = 40 -10 =30 J
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