Calculate Force Needed to Stretch Spring 48cm: 270 N/m

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SUMMARY

The discussion centers on calculating the force required to stretch a spring 48 cm with a spring constant of 270 N/m using Hooke's Law. The correct formula to determine the force (F) is F = kx, where k is the spring constant and x is the displacement. The user initially attempted to use the potential energy formula (1/2 kx^2), which is not appropriate for calculating force directly. The correct calculation yields a force of 129.6 N.

PREREQUISITES
  • Understanding of Hooke's Law
  • Familiarity with spring constants
  • Basic algebra for solving equations
  • Knowledge of units of force (Newtons)
NEXT STEPS
  • Study Hooke's Law in detail
  • Learn how to apply the formula F = kx in various scenarios
  • Explore potential energy in springs using the formula 1/2 kx^2
  • Investigate real-world applications of spring mechanics
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Students in physics, engineers working with mechanical systems, and anyone interested in understanding the principles of spring mechanics and force calculations.

ross moldvoer
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Homework Statement


What force is necessary to stretch a spring 48 cm, if the spring constant is 270 N/m?

Homework Equations



1/2kx^2

The Attempt at a Solution


tried plugging everything into equation and got 31 but it is wrong. Any help would be greatly appreciated
 
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What units came out of your attempt to plug in value to that equation? Did you check to see that they matched what you're looking for?

Look for a more relevant Relevant equation. Hint: Hooke's Law.
 
The quantity you're looking for is force. The quantity your equation gives you is?
 

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