How to find the k constant of a spring?

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To find the k constant of a spring, the discussion revolves around using energy conservation principles, specifically comparing gravitational potential energy and elastic potential energy. The user is uncertain whether kinetic energy should be included in their calculations and presents two equations to evaluate. They calculated a k constant of 2.752 N/m, which they question as potentially too small, given the spring's equilibrium length of 0.04m. Additionally, they calculated a force of 0.09632 N at a compression of 0.035m and are concerned about the validity of their method. The conversation highlights the need for careful consideration of energy components in determining the spring constant accurately.
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EDIT: I just found the homework board, mods: don't bother moving this thread, just delete it. Thanks

We had a lab where we launch springs with an unknown k constant to a target 2.01m away and 0.22m high. We also know the angle at which we shot the spring.

We need to find the k constant of the spring, so my question is, does the kinetic energy matter?

Will the equation be:

Eg + Ee = Eg + Ek (The spring had gravitational potential as it was launched a bit higher than the reference position (the table)

or

Eg + Ee = EgThanks.
 
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If I did the Eg + Ee = Eg method, then my k constant turned out to be 2.752 N/m.

The spring's length at equilibrium is 0.04m; the spring is quite tiny.

Does this k constant seem to small?
 
Also, using F= kx, the force contained in the spring when x = 0.035m, is 0.09632N

Are these values too small, which could possibly hint the method I tried is wrong?
 
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