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First, it is true that to hold that bow stretched at a farther distance requires more force. (The X value is larger) Second, and very importantly, if takes X amount of force to stretch it say 1", it still takes that SAME amountof force to stretch it another inch even when it is pulled taught.
Just to elaborate on this and prevent confusion, what frank means when he says, "it still takes that SAME amountof force to stretch it another inch even when it is pulled taught" he means it will take 2X of force to pull it back to that 2nd inch.

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The arching of the spring in fact strain hardens the metal, among other things, increasing the spring rate.
In my explanation I was assuming the spring came like that from the factory, not deformed into the position. Just wanted to clarify that.

Steve
My Website ||Gettin' off 4wheel drive club member
'93 4Runner V6 4x4 auto tranny
If you have to ask about a SAS, you're not ready for it.