Need to sketch the potential energy of the spring system

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SUMMARY

The discussion centers on sketching the potential energy of a spring system, specifically using the spring constant (k) derived from the formula \(T = 2\pi\sqrt{\frac{m}{k}}\). A participant calculated k as 4.9 but struggled to proceed with graphing potential energy and acceleration. Key concepts include the potential energy function for springs and the application of Newton's Second Law to derive further insights into the system's behavior.

PREREQUISITES
  • Understanding of Hooke's Law and spring constant (k)
  • Familiarity with potential energy equations for spring systems
  • Knowledge of Newton's Second Law of Motion
  • Basic graphing skills for physics functions
NEXT STEPS
  • Research the potential energy function for springs, specifically \(PE = \frac{1}{2}kx^2\)
  • Learn how to graph potential energy versus displacement for spring systems
  • Study the relationship between acceleration and force in spring systems using Newton's Second Law
  • Explore oscillatory motion and its equations related to spring systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and spring systems, as well as educators looking for practical examples of potential energy and acceleration in oscillatory motion.

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https://scontent-sjc.xx.fbcdn.net/hphotos-xpt1/v/t34.0-12/11160576_1059930500703784_4106088481400641257_n.jpg?oh=2e1906c36fc3e407fc8e2b8eb544bbba&oe=55401DBB
1. Well the entirety of the question along with the variables is given within the picture ^.2. I can't figure out how to make the graph for potential energy nor acceleration. Help would be greatly appreciated.

3. Well I tried solving for k; (2pi)sqrt(m/k)=1 and got 4.9 for the k value. I don't know how to continue any further
 
Physics news on Phys.org
Know the potential energy function for a spring?
Know the force applied by a spring? If so, then use Newton's Second Law.
 

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