Solving for Speed of Mass After Spring Compression: .15m

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Homework Help Overview

The problem involves a vertical spring and a mass, focusing on the conservation of mechanical energy as the mass is released and compresses the spring. The subject area includes mechanics and energy conservation principles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the setup of the conservation of mechanical energy equation, considering gravitational potential energy, kinetic energy, and spring potential energy. There are attempts to express the energies involved at different states of the system.

Discussion Status

Some participants are exploring the formulation of the energy conservation equation, while others express a need for further clarification on the setup. There is an ongoing dialogue about the components of energy at the initial and final states.

Contextual Notes

Participants are working with specific values for mass, spring constant, and heights, but there may be uncertainties regarding the correct application of energy conservation principles in this context.

Lorbersf
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A vertical spring is created by affixing one end of the spring with k=500N/m to the floor. A 2.0kg mass is held .8m above the equlibrium position of the free and of the spring and released from rest. What is the speed of the mass when the spring is compressed .15m?

I need help setting up the equation for conservation of mechanical energy...
Ki+Ui=Kf+Uf >>>>>And then solving.
 
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Initially we have the gravity potential energy of the block which is mg(L+h) where L is the length of the spring (when it is relaxed) and h is the height of the block from the top of the spring. at the final state, we have the gravity potential energy for the block , kinetic energy for the block and the potential energy for the spring.
 
i need more help than that please
 
[tex]mg(L+0.8) = mg(L-0.15)+\frac{1}{2}mv^2+\frac{1}{2}kx^2[/tex]
 

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