One end of a light spring of spring constant is fixed to a wall

PHYSICS · Multi correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

One end of a light spring of spring constant kk is fixed to a wall, and the other end is tied to a block placed on a smooth horizontal surface. During a displacement, the work done by the spring is +12kx2+\frac12kx^2. The possible cases are (1) The spring was initially compressed by a distance xx and was finally at its natural length. (2) It was initially stretched by a distance xx and finally was at its natural length. (3) It was initially at its natural length and finally in a compressed position. (4) It was initially at its natural length and finally in a stretched position.

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