One end of a light spring of spring constant k is fixed to …

Physics Work, Energy, Power and Collision Work Done by Constant and Variable Force MCQ (Single Correct)

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 displacement, the work done by the spring is kx 2 . The possible cases are

the spring was initially compressed by a distance x and was finally in its natural length

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

it was initially in its natural length and finally in a compressed position

it was initially in its natural length and finally in a stretched position

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The correct answer is:

CHECK THE SOLUTION.

(a, b)

W S = U i – U f , kx 2 = U i – U f

U f = 0

U i = kx 2 = k(–x) 2

Spring was either compressed or stretched initially by a distance x.

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