2 discs connected by spring, airborne?

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SUMMARY

The discussion focuses on a physics problem involving two identical discs, each with mass m, connected by a stiff spring with spring constant k. When the top disc is pushed down and released, the potential energy stored in the spring is analyzed to determine if the system can lift off the ground and how high it can rise. The key equation derived is h = (1/2)kx²/(mg), which indicates that the height achieved depends on the spring's compression and the gravitational force acting on the discs. The assumption made is that all spring potential energy converts to gravitational energy, which is critical for solving the problem.

PREREQUISITES
  • Understanding of Newton's second law (f=ma)
  • Knowledge of spring mechanics (Hooke's Law, f=kx)
  • Familiarity with potential energy equations (pe=mgh, pe=1/2kx²)
  • Basic principles of energy conservation in mechanical systems
NEXT STEPS
  • Explore the concept of energy conservation in mechanical systems
  • Learn about the dynamics of oscillating systems and harmonic motion
  • Study the effects of damping on spring-mass systems
  • Investigate real-world applications of spring mechanics in engineering
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Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators looking for practical examples of spring dynamics in action.

alindao
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Homework Statement


2 identical discs each mass m are connected to stiff spring with constant k. when you push down on the top disc and release, will the system be able to lift off ground. if so, how high?

Homework Equations


f=ma,f=kx,pe=mgh,pe=1/2kxsquared, ke=1/2mvsquared

The Attempt at a Solution


1/2kxsquared=mgh
h=1/2kxsquared/(mg)
 
Last edited by a moderator:
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alindao said:
h=1/2kxsquared/(mg)
That assumes all the spring potential energy gets converted to gravitational energy. Will that happen?
 

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