Kinetic energy of massless spring

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Homework Help Overview

The discussion revolves around a problem involving the kinetic energy of a mass placed on a compressed massless spring. The scenario includes a 2.0 kg mass on a spring compressed by 42 cm, and participants are exploring the relationship between potential energy stored in the spring and the kinetic energy of the mass when released.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the conversion of potential energy in the spring to kinetic energy of the mass. There are attempts to apply the conservation of energy principle and questions about how to calculate the velocity of the mass from the potential energy.

Discussion Status

The discussion is active, with participants providing hints and exploring the relationship between potential and kinetic energy. Some guidance has been offered regarding the conservation of energy, but there is no explicit consensus on the calculations or interpretations of the energy transformations involved.

Contextual Notes

Participants are working under the assumption that the spring is massless and are considering the effects of gravitational potential energy in their calculations. There is some confusion regarding the application of formulas and the interpretation of energy conversion.

Flinthill84
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Alright I'm having a little trouble on this one...

One end of a massless spring is welded to a flat surface; the other end points upward. A mass of 2.0kg is set on top of the spring. The spring is then compressed by hand so that the end of the spring is 42cm lower than the position of the spring with no mass on top. The spring is then seddenly released. What is the maximum kinetic energy of the 2.0kg mass??

I think i use the formula KE=1/2mv^2, if that is true could anyone give me a hint on how to find the velocity please? Thankyou!
 
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The spring will have some potential energy. This potential energy will all be converted into kinetic energy for the block. You need to find out how much potential the spring has.
 
ok so the potential energy would be U=mgh which would be (2.0kg)(9.8m/s^2)(-0.42m)...but I guess I still don't understand how this plays into the kinetic energy?
 
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^ conservation of energy? every joule of potential energy being converted into kinetic energy.

just equate [tex]E_k = E_p[/tex]
 
so mgh=1/2mv62 and then I could solve for v and finally solve for kinetic energy?? Or are you saying that the amount of potential energy that I found is the amount of kinetic energy?
 
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