Why Isn't the Energy Equation Ef=kx^2/2−mgx?

Thread starter user5
Start date Mar 1, 2014
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Basics Conservation Conservation of energy Energy

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SUMMARY

The discussion centers on the energy equation related to a mass released from height h above a spring. The initial energy (Ei) is defined as mgh, while the final energy (Ef) is expressed as kx²/2 + mgx. The confusion arises regarding why the equation for Ef is not kx²/2 - mgx, as the mass is below the zero reference point. The correct formulation of Ef takes into account the gravitational potential energy acting on the mass when it compresses the spring.

PREREQUISITES

Understanding of gravitational potential energy (mgh)
Familiarity with spring potential energy (kx²/2)
Knowledge of energy conservation principles
Basic physics concepts related to forces and motion

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Study the principles of energy conservation in mechanical systems
Explore the relationship between gravitational potential energy and spring potential energy
Investigate the effects of reference points in energy equations
Learn about the dynamics of mass-spring systems in physics

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Students of physics, educators teaching mechanics, and anyone interested in understanding energy transformations in mass-spring systems.

Mar 1, 2014

user5

The mass is released at height h above the spring, how far will the spring move? Ei=mgh,Ef=kx2/2+mgx...why the second equation isn't Ef=kx2/2−mgx? Since it is below the "zero".