What is the force constant and work done in stretching a Hooke's-law spring?

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SUMMARY

The discussion centers on calculating the force constant (k) and work done (W) in stretching a Hooke's-law spring. The force varies from 0 N to 70.7 N over a distance of 6.52 cm. The force constant is determined using Hooke's law, expressed as F = -kx, where k is the force constant. The work done in stretching the spring is equivalent to the elastic potential energy stored, calculated using the formula W = 0.5kx².

PREREQUISITES
  • Understanding of Hooke's law and its equation F = -kx
  • Knowledge of elastic potential energy formula W = 0.5kx²
  • Ability to convert units, specifically centimeters to meters
  • Familiarity with basic physics concepts related to force and work
NEXT STEPS
  • Calculate the force constant (k) using the formula k = F/x
  • Learn about the implications of Hooke's law in real-world applications
  • Explore the relationship between force, distance, and work in physics
  • Investigate the conservation of energy in elastic systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and spring dynamics, as well as educators looking for practical examples of Hooke's law applications.

jrl3253
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Homework Statement



The force required to stretch a Hooke's-law spring varies from 0 N to 70.7 N as we stretch the spring by moving one end 6.52 cm from its unstresses position. Find the force constant of the spring. answer in units of N/m.
Find the work done in the stretching the spring. Answer in units of J.
F=0-70.7 N
d= 6.52 cm

Homework Equations



W=Fd
W=-Kx

The Attempt at a Solution


W=70.7*6.52=460.964
 
Last edited:
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what is hooke's law? you haven't written that down and it would be the most relevant equation to find the force constant of the spring!

I would add that once you have found the force constant from hookes law, then you can use it to work out the work done. Due to conservation of energy, work done stretching a spring is equal to elastic (potential) energy stored in the spring.

do you know the equation for the elastic energy in a spring? that's the other relevant equation!
 
hooke's law is in the post...W=-kx
 
Last edited:
jrl3253 said:
hooke's law is in the post...F=-kx
2. Homework Equations

W=Fd
W-Kx
I don't see it there!

In your attempt at a solution, you skipped straight to finding W (Work). You cannot calculate this without first knowing k (force constant).

Don't forget that distances should be in meters for calculations if you want to get the right answer in joules.
 

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