Solving for Extension Needed to Reach Target Distance with a Spring

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The discussion focuses on calculating the extension needed for a spring to reach a target distance of 3 meters using the formula d(x) = [1/9.8 * k/m] * x². Participants explore whether a higher spring constant (k) indicates greater mass, concluding that while a higher k-value can suggest a larger volume and potentially more mass, it is not a definitive correlation. The compression factor of a coil spring is influenced by wire diameter, the number of coils, and the material used. Ultimately, a higher k-value does not necessarily equate to increased mass. The conversation emphasizes the complexity of spring mechanics and the various factors affecting their properties.
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im tyring a ISP for physics which detrmines were the sprign will land when shot off a frame, with the target being 3 m away
we got this formula

d (x) = [1/9.8 * k/m ] * x square

where x is the extension needed to make it reach d (x) which is 3 m

my quesiotn is anyways, does a higher K value mean a spring wieghs more, or opposite
 
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one golden question
does a higher K value mean more mass? or not
 
The compression factor of a coil spring will depend upon the wire diameter and the number of turns,or coils, in the spring. So, for a higher k-value, the volume will be larger, hence the mass will be greater.

The compression factor also depends upon other factors, but I can't remember what now.
 
It also depends on the material that the spring is made of. So a higher K doesn't neccesarily mean more mass.
 
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