Need Help Understanding KE, PE and Mechanical Energy lost due to friction

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Homework Help Overview

The discussion revolves around understanding kinetic energy (KE), potential energy (PE), and the mechanical energy lost due to friction in the context of a base runner sliding into second base. The original poster presents a scenario involving a runner's initial speed and the coefficient of friction, seeking to calculate the mechanical energy lost and the distance slid.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the application of conservation of energy principles, questioning how mechanical energy is represented in the equations. There is a discussion on whether potential energy can be ignored in this scenario.

Discussion Status

Some participants have provided guidance on calculating mechanical energy lost and have confirmed the initial kinetic energy value. There is an ongoing exploration of the rationale behind the calculations and the concepts involved, with no explicit consensus reached on the understanding of the underlying principles.

Contextual Notes

Participants express uncertainty regarding the relevance of potential energy in this problem and the interpretation of energy loss due to friction. There is a mention of homework constraints that may affect the approach to the problem.

sarahjt1
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Homework Statement



A 70 kg base runner begins his slide into second base when he is moving at a speed of 4.0m/s. The coefficient of friction between his clothes and the Earth is 0.70. He slides so that his speed is zero just as he reaches the base.
a) How much mechanical energy is lost due to friction acting on the runner?

b) How far does he slide?



So, I figured out b no problem but a) I have no idea where to even begin. I was using the conservation of energy equation KE + PE = KEi + PEi. But that obviously is not correct. How does mechanical energy EVER get calculated into these equations? I don't understand where it goes and what represents it...



Homework Equations



For part b) I used the KEf-W=KEi because PEi=PEf due to the fact that there is no y-direction... right?



The Attempt at a Solution

 
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Welcome to PF!

Hi sarahjt1! Welcome to PF! :smile:

(Yes, you can ignore PE completely … in fact, I don't think the examiner will even expect you to mention it)
sarahjt1 said:
a) How much mechanical energy is lost …

a) I have no idea where to even begin. I was using the conservation of energy equation KE + PE = KEi + PEi. But that obviously is not correct. How does mechanical energy EVER get calculated into these equations? I don't understand where it goes and what represents it...

This isn't physics, it's just arithmetic …

(yeah, sometimes the problems are that easy! :wink:)

you know the mechanical energy before, and the mechanical energy after, so the mechanical energy lost is … ? :smile:
 
I got -560J as my answer but I am not sure if that is right. If it is, I don't fully understand the rationale I used to get there. I guess it is more that I don't fully understand the concepts involved.

This is where my trouble lies... just in understanding the equations that are relevant to the questions being asked... :(
 
Well for this question the runner as an initial kinetic energy of 560J. Friction does work on the runner which brings his velocity to zero and thus, his kinetic energy. So you would have...
[tex]KEi -Wf = KEf[/tex]
And you'll see that he losses 560j of energy.
 
Hi sarahjt1! :wink:
sarahjt1 said:
I got -560J as my answer but I am not sure if that is right.

It is, except that it's plus 560J (the question asks for the energy lost, which of course is positive :wink:).
If it is, I don't fully understand the rationale I used to get there. I guess it is more that I don't fully understand the concepts involved.

Are you talking just about part a)?

You're just calculating the KE before and the KE after (using the standard 1/2 mv2 definition), and subtracting …

what is worrying you about that? :smile:​
 

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