How Much Work Does the Wall Do to Stop a Skater?

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Homework Help Overview

The problem involves a 69.0-kg ice skater sliding into a padded wall at a speed of 11.0 m/s and seeks to determine the work done by the wall to bring the skater to rest. The context is centered around the concepts of work and energy in physics.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of the work-energy theorem and various equations related to kinetic energy and work. There is uncertainty regarding the correct formulation of the work-energy equation and its application to the problem.

Discussion Status

Some participants have attempted calculations using different forms of the work-energy equation, while others have questioned the correctness of these equations. There is acknowledgment of errors in the initial attempts, and a revised approach has been suggested, leading to a more accurate calculation.

Contextual Notes

Participants note the importance of units in calculations and the need to clarify the correct equation for work in the context of kinetic energy. There is also a reference to external resources for further information on work-energy equations.

ash4741
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Wall excerts work on skater: Please help :(

Homework Statement



A 69.0-kg short-track ice skater is racing at a speed of 11.0 m/s when he falls and slides into a padded wall that brings him to rest. Assuming that he does not lose any speed during the fall or while sliding across the ice, how much work is done by the wall while stopping the ice skater?

Homework Equations


Ke=1/2mV^2
W=1/2m(Vf^2+Vi^20
W=Fdcos()
F=ma or F=mg

The Attempt at a Solution



I am not sure what I am doing. I attached an image of my work.
 

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ash4741 said:

Homework Statement



A 69.0-kg short-track ice skater is racing at a speed of 11.0 m/s when he falls and slides into a padded wall that brings him to rest. Assuming that he does not lose any speed during the fall or while sliding across the ice, how much work is done by the wall while stopping the ice skater?



Homework Equations


W=1/2m(Vf^2+Vi^20
is this the work-energy theorem equation? It's not correct, but this one looks like the one to use, once corrected. Can't see your work yet, though.
 


W=1/2m(Vf^2+Vi^2)
W=1/2(69)(0^2+11^2)
W=1/2(69)(121)
W=34.5(121)
W=4174.5
This is wrong answer.
 


ash4741 said:
W=1/2m(Vf^2+Vi^2)
W=1/2(69)(0^2+11^2)
W=1/2(69)(121)
W=34.5(121)
W=4174.5
This is wrong answer.
check your work energy equation again; it is incorrect. And don't forget the units.
 


W=1/2mVf^2-1/2mVi^2
W=1/2(69)(0)-1/2(69)(121)
W=-4174.5 J
 


Thanks ^^
 

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