Solving Catapult Project: Finding Spring Constant

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To determine the spring constant for the catapult project, the average force of 6.68 N was calculated, but there is confusion about whether to use this average or the difference between the forces of 4.2 N and 1.4 N. The teacher advised using the arc length in the calculations, leading to a spring constant of 68.346 N/m, which seems inconsistent with another group's result of approximately 2 N/m. Clarification is needed on the correct application of Hooke's Law in this context. Without additional details or a sketch, resolving the discrepancies in the spring constant calculations is challenging.
Chloers
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I'm doing a catapult project but I'm sort of confused.
I need to find the spring constant in order to get the elastic potential energy.
The force of pulling back the catapult lever to 36 degrees above the horizontal is 4.2 N. Right before the lever is at rest, 90 degrees, the force is 1.4 N.
One of my lab partners got the force average as 6.68 N.
My teacher told me to use the arc length as the x in the equation.
When that was plugged into the equation I got 68.346 N/m as the spring constant. Does that make sense? I asked another group and they got a spring constant of about 2 N/m.

I know I am suppose to use Hooke's Law but am I suppose to use the average force or the difference of the forces?

What am I doing wrong?
 
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Without a sketch and other additional information, I think it is impossible to tell.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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