Energy Conservation: K0 + V0 = K1 + V1

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Homework Help Overview

The discussion revolves around the conservation of energy, specifically the relationship between kinetic and potential energy in a system. Participants are examining the equations related to initial and final states of energy, focusing on the definitions and notations used for potential energy.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of notation for potential energy versus velocity, questioning the dimensional consistency of the equations presented. There is an exploration of the correct interpretation of variables in the context of energy conservation.

Discussion Status

The conversation is ongoing, with participants clarifying the meaning of terms and addressing potential misunderstandings. Some guidance has been offered regarding the application of the energy conservation equation, but there remains a lack of explicit consensus on the interpretation of the variables.

Contextual Notes

There is a mention of notation used in a textbook, which may have contributed to confusion. Participants are navigating the implications of using different symbols for energy and velocity.

nysnacc
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Homework Statement


upload_2016-9-22_21-33-59.png


Homework Equations


U_initial = U_final

The Attempt at a Solution


K_0 = 10 m/s
K_1 = 0 m/s (at peak)

V_0 = mgh_0
V_1 = mgh_1

1/2 mv02 + mgh0 = 1/2 mv12 + mgh1
 
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nysnacc said:
V_0 = mgh_0
V_1 = mgh_1
I'm not sure what you mean here, velocity does not equal energy so those equations are dimensionally inconsistent.
Your final equation is correct and can be used to solve all three questions. Just plug in the appropriate values for each question.
 
billy_joule said:
I'm not sure what you mean here, velocity does not equal energy so those equations are dimensionally inconsistent.
I believe he is using V to denote potential energy, not velocity.
 
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Orodruin said:
I believe he is using V to denote potential energy, not velocity.
Yes, potential energy, sorry for the misleading. I used the notation in my book.
 
nysnacc said:
Yes, potential energy, sorry for the misleading. I used the notation in my book.
So what is stopping you from applying the equation? What is it that you do not understand?
 

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