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One end of a light spring of spring cons...

One end of a light spring of spring constant k is fixed to a wall and the other end is tied to a block placed on a smooth horizontal surface. In a displacment, the work done by the spring is `+(1/2)kx^(2)`. The possible cases are.

A

The spring was initially compessed by a distance x and was finally in its natural length .

B

It was initially stretched by a distance x and finally was in its natural length.

C

It was initially natural length and finally in a compressed position.

D

It was initially in its natural length and finally in a stretched position.

Text Solution

Verified by Experts

The correct Answer is:
A, B

Spring force is always towareds mean position If displacement is also towards mean position, F and S will be of same sign and work done will be posititve.
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Knowledge Check

  • One end of a spring of force constant k is fixed to a vertical wall and the other to a blcok of mass m resting on a smooth horizontal surface. There is another wall at distance x_(0) from the block. The spring is then compressed by 2x_(0) and released. The time taken to strike the wall is

    A
    `(1)/(6)pisqrt(k/m)`
    B
    `sqrt(k/m)`
    C
    `(2pi)/(3)sqrt(k/m)`
    D
    `(pi)/(4)sqrt(k/m)`
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    A
    `(1)/(6)pi sqrt((k)/(m))`
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    `sqrt((k)/(m))`
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    A
    `(5pi)/(3)sqrt((m)/(K))`
    B
    `(5pi)/(4)sqrt((m)/(K))`
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    D
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