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

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SUMMARY

The calculation of the force exerted by a falling object compressing a spring involves understanding the dynamics of forces and spring mechanics. The object with a mass of 1.502 kg falls with a velocity of 0.528 m/s, resulting in an impact force of 4.75 N over a duration of 0.167 seconds. The gravitational force acting on the object is calculated to be 14.7245 N, while the spring force required for compression is approximately 20.992 N. The discrepancy between the experimental results and theoretical expectations suggests potential experimental error or miscalculations in force addition.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of spring mechanics (Hooke's Law)
  • Familiarity with kinematic equations
  • Basic principles of force and motion
NEXT STEPS
  • Study the application of Hooke's Law in real-world scenarios
  • Learn about error analysis in experimental physics
  • Explore the concept of impulse and momentum
  • Investigate the effects of varying spring constants on compression
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Physics students, mechanical engineers, and anyone involved in experimental mechanics or spring dynamics will benefit from this discussion.

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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.
 
Last edited:
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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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