Spring and Gravity Potential Energies

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Homework Help Overview

The discussion revolves around a physics problem involving potential energy, specifically related to a block dropped onto a spring. The subject area includes concepts of gravitational potential energy and spring mechanics.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the energy conservation equation and the relationship between gravitational potential energy and spring potential energy. There is an attempt to derive an expression for the maximum compression of the spring, with questions about the validity of assumptions made in the calculations.

Discussion Status

Some participants have provided hints and suggestions for checking calculations. There is a divergence in expected results, with one participant questioning the accuracy of their teacher's answer. The discussion reflects an ongoing exploration of the problem without a clear consensus on the correct answer.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may impose specific methods or assumptions that are being questioned. The discussion includes a note about the assumption regarding the spring's compression being negligible.

brendan3eb
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Homework Statement


A 2-kg block is dropped from a height of 0.4 m onto a spring force whose constant k is 1960 N/m. Find the maximum distance the spring will be compressed.


Homework Equations


U1+K1=U2+K2


The Attempt at a Solution


both the initial and final kinetic energy should be 0 so we should get an equation like this:
mgh=(1/2)kx^2+mg(value)

I can't find an expression to put in for value that only has x and no other unknown variables.
 
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The expression you have will work.

Hint: Let the lowest point the block reaches be h=0m.
 
so I would substitute 0 in for value to get x = .089 m, correct? Yeah, that's what I have been getting. However, my teacher told me the answer is 1.00 m. I am starting to wonder if he read off the wrong answer. Do you get .089 m too?
 
I also get .089m. Check to make sure your numbers and units are correct. If they are, then I suggest talking to your teacher about it. Even teachers aren't perfect!:smile:

Technically, the method we are using assumed the spring is compressed a negligible amount, but I think this is a reasonable assumption that wouldn't change the answer that much.
 
Last edited:

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