How do I convert a spring constant of N/cm to N/m

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SUMMARY

The conversion of a spring constant from N/cm to N/m is straightforward and involves dimensional analysis. In this discussion, the spring constant of 85 N/cm is correctly converted to 8500 N/m by recognizing that 1 cm equals 0.01 m, thus multiplying by 100. The confusion surrounding stoichiometry is clarified, as it is not applicable in this context; instead, dimensional analysis is the appropriate method for unit conversion.

PREREQUISITES
  • Understanding of dimensional analysis
  • Basic knowledge of unit conversions
  • Familiarity with spring constants and Hooke's Law
  • Concept of force and its measurement in Newtons
NEXT STEPS
  • Study dimensional analysis techniques in physics
  • Learn about Hooke's Law and its applications
  • Practice unit conversions involving different measurement systems
  • Explore examples of spring constant calculations in various contexts
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Students in physics or engineering, educators teaching mechanics, and anyone needing to perform unit conversions in scientific contexts.

Waynerds
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Homework Statement


my spring constant is 85 N/cm and I have to convert to N/m

Homework Equations


why does stoichiometry not work on this? How would I approach conversions like this?

The Attempt at a Solution


I tried converting the 85 N/cm to N/m and ended up getting 85*10^2 N/m. This was using basic stoichiometry.
 
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Usually this skill is lumped in with what is called 'dimensional analysis.' Try looking over this link: https://www.chem.tamu.edu/class/fyp/mathrev/mr-da.html and see if you can make some sense of it. Your problem is very similar to the example except you have units of cm in the denominator.
 
Waynerds said:

Homework Statement


my spring constant is 85 N/cm and I have to convert to N/m

Homework Equations


why does stoichiometry not work on this? How would I approach conversions like this?

The Attempt at a Solution


I tried converting the 85 N/cm to N/m and ended up getting 85*10^2 N/m. This was using basic stoichiometry.
Stoichiometry is what you use to balance chemical reactions.

If it takes a force of 85 N to stretch a spring 1 cm, how many Newtons will it take to stretch the same spring 100 cm (= 1 meter)?
 

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