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.

Question

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.

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 wiork done by the spring is 1/2kx². The possible cases are

(a) the spring was initially compressed by a distance! and was finally in its natural length

(b) it was initially streched by a distance x and was in its natural length

(c) it was initially in its natural length and finally in compressed position

(d) it was initially in its natural length and finally in a astretched position.

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Salim Ahmed Kawsar · Answer 1 · Feb 05, 2023 15:29:48

(a) the spring was initially compressed by a distance! and was finally in its natural length

(b) it was initially streched by a distance x and was in its natural length

Explanation:

Since in the conditions of (c) and (d) spring does not exert a force that is in the direction of displacement but in the opposite, so the work done will be negative.

Only in (a) and (b) the work done will be positive.

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.

1 Answers