Spring energy problem at an incline with friction

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SUMMARY

The discussion focuses on solving a physics problem involving energy conservation at an incline with friction. The total mechanical energy equation, Et = Ek + Eg + Ee, is utilized, where Et represents total energy, Ek is kinetic energy, Eg is gravitational potential energy, and Ee is elastic potential energy. The user attempts to calculate energy at both the top and bottom of the incline but expresses uncertainty about their calculations, particularly regarding the relationship between height (h) and the displacement (x2). Clarification on these relationships is essential for accurate problem-solving.

PREREQUISITES
  • Understanding of energy conservation principles in physics
  • Familiarity with kinetic and potential energy equations
  • Knowledge of elastic potential energy and spring constants
  • Basic grasp of inclined plane mechanics and friction effects
NEXT STEPS
  • Review the principles of energy conservation in mechanical systems
  • Study the relationship between height and displacement in inclined planes
  • Learn about the calculations involving spring constants and elastic potential energy
  • Explore examples of energy problems involving friction and inclines
USEFUL FOR

Students studying physics, particularly those tackling energy conservation problems, as well as educators seeking to clarify concepts related to inclined planes and friction.

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Homework Statement


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Homework Equations


Et = Ek + Eg + Ee

The Attempt at a Solution


Top:[/B]
Et=mgh+1/2k1 Δx12 +1/2k2Δx22

196h+400+600 = ET

Bottom:
Et=1/2k1Δx22+1/2k2Δx22

400+600=1000

...and that's when I realized I must have done something wrong. Sorry, I'm kind of bad at this stuff. Please help
 
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Why do you think you have done something wrong?
h, I assume, is the distance the mass falls. What is the relationship between h and x2?
 

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