Height in conservation of energy problem

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Homework Help Overview

The problem involves a slippery ice cube sliding inside a smooth, horizontal pipe, focusing on the conservation of energy principles to determine the final speed of the cube at the top of its path. The context includes initial and final kinetic and potential energy calculations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of conservation of energy, questioning the calculation of height and its impact on the final speed. There is an exploration of the relationship between initial and final speeds based on energy principles.

Discussion Status

Some participants have identified potential issues with the height calculation, suggesting that this may lead to discrepancies in the final speed. Adjustments to the calculations have been mentioned, indicating a productive direction in the discussion.

Contextual Notes

There appears to be a focus on the accuracy of the height measurement used in the energy equations, which may affect the outcome. The problem is framed within the constraints of a homework assignment, emphasizing the need for careful consideration of assumptions and calculations.

acaulkin
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Homework Statement


A very Slippery ice cube slides in a vertical plane around the inside of a smooth, 20 cm diameter horizontal pipe. The ice cube's speed at the bottom of the circle is 3.0 m/s
Vi = 3.0 m/s
Height at top= 2(.20) = .40
Vf = ?

Homework Equations


KE(initial) + PE(initial) = KE(final) + PE(final)

The Attempt at a Solution


(1/2)mVi^2+0 =(1/2)mVf^2 + mgh
masses cancel out:
(1/2)Vi^2-gh = (1/2)Vf^2
Vi^2-2gh = Vf^2
sqrt(Vi^2-2gh) = Vf
Plugging in all my variables I get an answer of: 1.07 m/s
Answer should be: 2.3 m/s
 
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acaulkin said:
A very Slippery ice cube slides in a vertical plane around the inside of a smooth, 20 cm diameter horizontal pipe.
[...]
Height at top= 2(.20) = .40
I can see one problem.
 
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Likes   Reactions: acaulkin
jbriggs444 said:
I can see one problem.
Thank you very much!
Adjusting for this, I get the correct answer.
 
Check your "Height at top calculation".
 

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