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# Working with springs of different force constants

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Springs A and B are identical except that A is stiffer than B, that is the force constant Ka is greater than the force constant Kb. On which spring is more work expended if,

(a) They are stretched by the same amount?
(b) They are stretched by the same force?

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a) Let x be the extension in each spring.

The work done Wa = (1/2) Ka x^2

and Wb = (1/2) Kb ...

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