A spring which is initially in its natural length, first stretched by a length x and then again by a further length x . The work done in the first case is W and in the second case W 1 . Then,

Question

A spring which is initially in its natural length, first stretched by a length x and then again by a further length x . The work done in the first case is W and in the second case W 1 . Then,, W 1 = 4 W, W 1 = 3 W, W 1 = W, W 1 = 2 W

MARKS App · Accepted Answer

Since, we know, work done in stretching a spring from x 1 to x 2 is W = 1 2 k x 2 2 - x 1 2 In 1 s t case, W = 1 2 k x 2 - 0 = 1 2 k x 2 .... (i) In 2 n d case, W 1 = 1 2 k 2 x 2 - x 2 = 1 2 k 4 x 2 - x 2 = 1 2 k . 3 x 2 = 3 . 1 2 k x 2 = 3 W [From Eq. (i)]

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