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

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The discussion revolves around calculating the work done by a wall on a 69.0-kg ice skater who slides into it at 11.0 m/s. The initial attempt at using the work-energy theorem was incorrect, leading to confusion over the formula. After clarification, the correct equation for work was established as W = 1/2m(Vf^2 - Vi^2). The final calculation shows that the wall does -4174.5 Joules of work to stop the skater, indicating energy is absorbed by the wall. This highlights the importance of using the correct work-energy equation in physics problems.
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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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