What is the coefficient of friction for a bumpy hill sled problem?

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The discussion revolves around a physics problem involving a sled with a mass of 125 kg descending a bumpy hill and potentially landing in a puddle. The sled reaches a speed of 22.5 m/s at the bottom of an 11.0 m high hill, and the distance to the puddle is 24.84 m. Participants are tasked with determining if the sled avoids the puddle and calculating the coefficient of friction on the bumpy hill, given a hilltop length of 6.0 m. There is confusion regarding the initial attempt at solving the problem, particularly in visualizing the scenario and understanding the cliff's location relative to the hill. The need for a diagram is emphasized to clarify the problem setup.
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Homework Statement


A sled with your physics teacher, having a combined mass of 125 kg, travels over a perfectly smooth icy hill.The hill is 11.0 m high and at the bottom of the hill, the sled is moving at 22.5 m/s. The center of a puddle, which is 0.60 m in diameter and covered in a thin layer of ice, is 24.84 m from the edge of the cliff. Does the teacher avoid the puddle and if yes by how much?

If the top of the hill was bumpy and the sled and teacher landed in the center of the puddle, determine the coefficient of friction between the top of the hill and the sled if the length of the hill top is 6.0 m.

Homework Equations


initial TME+Work=TME
KE= 1/2mv^2
potential grav. energy= mgh


The Attempt at a Solution



1/2(125)(22.5^2)=1/2(125)(22.5^2)+125(9.8)(11)

But I know that's not right at all :/
 
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I can't easily picture the problem.
 
Yeah, is there a diagram? The first portion of the question doesn't indicate the location of the cliff relative to the hill.
 

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