Hooke's Law: Calculate Spring Constant k in Newtons or kg?

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SUMMARY

This discussion centers on Hooke's Law and the calculation of the spring constant (k). The formula used is k = mg/x, where 'm' represents mass in kilograms, 'g' is the acceleration due to gravity, and 'x' is the displacement in meters. It is clarified that mass must be in kilograms, while force is measured in Newtons, reinforcing the distinction between these units. The conversation emphasizes the importance of understanding unit conversions in physics calculations.

PREREQUISITES
  • Understanding of Hooke's Law and its applications
  • Knowledge of units of measurement in physics (Newtons, kilograms)
  • Familiarity with basic mechanics (force, mass, acceleration)
  • Ability to manipulate equations and perform unit conversions
NEXT STEPS
  • Study the derivation and applications of Hooke's Law in various contexts
  • Learn about unit conversions between mass and force in physics
  • Explore the relationship between force, mass, and acceleration (F=ma)
  • Investigate practical examples of spring constants in engineering and design
USEFUL FOR

Students of physics, educators teaching mechanics, and engineers involved in design and analysis of spring systems will benefit from this discussion.

misskitty
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Morning peoples,

I have a query about Hooke's Law. :confused: I have a problem which asks me to calculate the spring constant (k). I know how to do it, but my question is when I use the formula mg/x can mass be in Newtons or does it have to be in kg?

Looking forward to your answers. Thanks! :smile:
 
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Mass is never in Newtons. Newtons is a unit of force (remember F=ma?). That being said, if you want to redefine your equation by saying

k = (mg)/x = F/x

Then you can use your force directly.
 
Thanks for clarifying. Sometimes its hard to remember the simple stuff, you know? Thanks Fred. :smile:
 

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