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- A spring is compressed by a distance x. If the same spring is compressed by a distance 2x, the force required to compress it by 2x will be:Option: 1 <p
A spring is compressed by a distance x. If the same spring is compressed by a distance 2x, the force required to compress it by 2x will be:
2 times the force required to compress it by x
4 times the force required to compress it by x
8 times the force required to compress it by x
16 times the force required to compress it by x
Answers (1)
According to Hooke's law, the force required to compress or extend a spring is directly proportional to the distance it is compressed or extended. Therefore, if the spring is compressed by a distance x and the force required is F, then the force required to compress it by a distance 2x will be 2F.
However, the amount of work done in compressing the spring by 2x is four times the amount of work done in compressing it by x (since the work done is proportional to the square of the distance), which means that the force required to compress it by 2x will be 4F.
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