Two similar springs P and Q have spring constants Kp and KQ such that Kp KQ. They are stretched first by the same amount (case$$ $$a), then by the same force (case$$ $$b). The work done by the springs WP and WQ are related as, in case (a) and case (b), respectively.

Question

Two similar springs P and Q have spring constants Kp and KQ such that Kp > KQ. They are stretched first by the same amount (case$$ $$a), then by the same force (case$$ $$b). The work done by the springs WP and WQ are related as, in case (a) and case (b), respectively.

Infinity Learn · Accepted Answer

Case (a): Springs are stretched by the same amountThe work done by the springs W $$=$$ $$12Kx2Hence$$ W ∝ KAs  KP> KQ it means WP > WQCase (b): Springs are stretched by the same force.F $$=$$ KpXp $$=$$ KQXQThe work done by the springsW $$=$$ $$12Kx2$$ $$=$$ $$12K(FK)2$$ $$=$$ $$12F2KHence$$ W ∝ $$1K$$ it means WQ > WP

Two similar springs P and Q have spring constants $K_{p} and K_{Q}$ such that Kp > $K_{Q}$ . They are stretched first by the same amount (case a), then by the same force (case b). The work done by the springs $W_{P} and W_{Q}$ are related as, in case (a) and case (b), respectively.

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Two similar springs P and Q have spring constants Kp and KQ such that Kp > KQ. They are stretched first by the same amount (case a), then by the same force (case b). The work done by the springs WP and WQ are related as, in case (a) and case (b), respectively.

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Two similar springs P and Q have spring constants $K_{p} and K_{Q}$ such that Kp > $K_{Q}$ . They are stretched first by the same amount (case a), then by the same force (case b). The work done by the springs $W_{P} and W_{Q}$ are related as, in case (a) and case (b), respectively.