How Do You Calculate the Force of a Falling Object Compressing a Spring?

AI Thread Summary
To calculate the force of a falling object compressing a spring, the user provides mass (1.502 kg), velocity (0.528 m/s), and impact duration (0.167 s). The calculated force from the falling object is 4.75 N, while the gravitational force is 14.72 N, and the spring force is approximately 21 N. The user questions whether to combine the downward forces to match the theoretical spring compression requirement. There is concern about a significant discrepancy between experimental and theoretical values, suggesting potential experimental error. The discussion emphasizes the need for clarity in combining forces and understanding the physics of the scenario.
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Homework Statement


I need to know the force of a falling object.
m=1.502 kg
v=0.528 m/s (this value is way off from the theoretical which is .9598 m/s)
Duration of impact = 0.167 s

I have all the variable but my problem is this:
This falling object compresses a spring which needs a force of 21 N to compress. From my experiment, the spring compresses but the calculation doesn't work out. This could be just experimental error but I don't think the margin of error should be this big.

Homework Equations


F=m∆V/∆t

The Attempt at a Solution



F=((1.5025)(0-0.528))/0.167
F=4.75 N [down]

F=ma
F_g=(1.5025)(9.8)
F_g=14.7245 N [down]

F_e=kx
F_e=(512)(0.041)
F_e=20.992 N [up]

I was also wondering if you add the two downward forces together. If that is true, then the force using my theoretical value would be correct.
 
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well, if you have two forces pointing downward and you want to find the resulant force you should add them .. I am not sure what is the other question you are trying to ask?
 
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