The ideal spring and simple harmonic motion

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SUMMARY

The discussion centers on calculating the spring constant and the weight of a second person using Hooke's Law and the formula for frequency in simple harmonic motion. The spring constant was calculated as 992.53 N/cm, but it was noted that the correct unit should be N/m. The user also sought assistance in determining the weight of another individual who compresses the spring by 0.37 cm, indicating a need for clarity in unit conversion and application of the formulas.

PREREQUISITES
  • Understanding of Hooke's Law (f = -Kx)
  • Knowledge of simple harmonic motion principles
  • Familiarity with unit conversions (N/cm to N/m)
  • Basic algebra for solving equations
NEXT STEPS
  • Learn about unit conversions in physics, specifically N/cm to N/m
  • Study the derivation and application of Hooke's Law
  • Explore the relationship between spring constant and mass in simple harmonic motion
  • Investigate how to calculate frequency from spring constant and mass
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillations, as well as educators looking for examples of spring dynamics and harmonic motion calculations.

abvebstr19@co
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Homework Statement



A person who weighs 665 N steps onto a spring scale in the bathroom, and the spring compresses by 0.67 cm.
(a) What is the spring constant?
(b) What is the weight of another person who compresses the spring by 0.37 cm?


Homework Equations



f=-Kx

frequency=(1/2pi)(k/m)^.5
frequency=1/T
where T=period

The Attempt at a Solution


f=kx
665N=K(.67cm)
K=992.53
 
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abvebstr19@co said:

The Attempt at a Solution


f=kx
665N=K(.67cm)
K=992.53 N/cm


Write in your units.

So you basically want to to find F, for a given x and you know k. Just re-use the formula again.
 
thanks, i did that but the answer for that part is still wrong and i can't figure out why
 
abvebstr19@co said:
thanks, i did that but the answer for that part is still wrong and i can't figure out why

What is the given answer?
 
there is none. its an online homework so they don't give answers until after its due
 
abvebstr19@co said:
there is none. its an online homework so they don't give answers until after its due

Likely they want the answer in N/m, not N/cm
 

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