Can Work, Power, and Energy be Solved Together?

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The discussion revolves around the relationship between work, power, and energy, particularly in the context of an object sliding down a hill and stopping due to friction. Participants explore whether the object retains energy after stopping and how to calculate the work done by friction. Clarification is sought regarding the interpretation of the problem, specifically whether it pertains to the object reaching the bottom of the hill or stopping at an arbitrary point. Ultimately, the original poster confirms they have resolved their confusion and found the answer. The conversation highlights the complexities of energy loss due to friction in physics problems.
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Hi friend the problem is as such:


Attempt to the question:



Thank you all in advance.
 
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If the object stops because of friction, does it have any energy left? So how much work was done by friction?
 
voko said:
If the object stops because of friction, does it have any energy left? So how much work was done by friction?

If the body comes to the bottom of the hill. Then total P.E. "mgh" will be lost due to friction. But The question doesn't state that that the body has come to the bottom of the hill.

Its saying about any arbitrary point on the path midway. Am I taking it in wrong manner?
 
The problem says it slides down and then stops somewhere in the horizontal path. How do you interpret that?
 
Ok then 2mgh. I got it. Thanks for the help voko.
 
Thank you very much friends. I got the answer. Problem has been cleared.
 

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