If a bullet causes a spring to compress 4x further than first bullet..

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csx

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how much would work increase?

I figured OK...F=kx....so if x increases by a factor of 4 then the F in FxD= work should increase by 4.

The answer key however says to use (1/2)kx^2 formula however ....but i thought that was equal to potential energy...not force. Anywho...it says the work increases by a factor of 16.

whats going on here???

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Work and energy are what you want to look at, not force, because by compressing the spring you are increasing it's potential energy.

Look up the work-energy theorem if that does not sound familiar.
 
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