Calculate spring constant for cart attached to a spring

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SUMMARY

The discussion focuses on calculating the spring constant (k) for a cart attached to a spring, executing simple harmonic motion with a period of 4 seconds and a mass of 2 kg. The maximum displacement from the rest position is 1.8 m. Using the formula F = -kx, the spring constant can be derived from the relationship k = F/x, where F is the force acting on the spring. The units for the spring constant are confirmed to be N/m.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Familiarity with Hooke's Law (F = -kx)
  • Basic knowledge of mass and displacement concepts
  • Ability to manipulate equations for physical calculations
NEXT STEPS
  • Calculate the spring constant using k = (m * (2π/T)²), where T is the period
  • Explore the relationship between mass, period, and spring constant in simple harmonic motion
  • Investigate the effects of varying displacement on the spring constant
  • Learn about energy conservation in simple harmonic motion systems
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Students studying physics, particularly those focusing on mechanics and oscillations, as well as educators looking for practical examples of spring dynamics in simple harmonic motion.

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Homework Statement


A Cart is floating on an airtrack and is connected by a spring to one fixed object. The cart executes a simple harmonic motion with a period of 4 seconds. Its mass is 2kg. Its maximum displacement from rest position is 1.8m. Calculate the spring constant and provide units.


Homework Equations


F= -kx


The Attempt at a Solution


The units would be N/m i am guessing but i am still a little lost. k is the spring constant rearranged it should be:
k = F/x right?

COULD A MOD PLEASE REMOVE THIS OR MY OTHER THREAD. INTERNET CUT OUT BUT MUST HAVE SUBMITTED TWICE
 
Last edited:
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how do you relate k , period and mass?
 
Hey pcm i posted in my other thread

hoping this one gets removed... double posted by accident
 

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