? on change in mechanical energy

AI Thread Summary
The discussion revolves around calculating the change in mechanical energy of a block sliding down a rough incline. The user is confused about the correct height to use for potential energy calculations, questioning whether to use the full distance of 2.2 m or the height drop of 1.1 m. There is also uncertainty regarding the initial and final velocities, with the user calculating an average velocity instead of the final velocity. Participants suggest focusing on the relationship between mechanical energy, potential energy, and kinetic energy, and emphasize the importance of using the correct height for gravitational potential energy. Clarifying these concepts will help resolve the user's problem with the calculations.
ken.adams
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I am having problems with this physics problem.
Starting from rest a 6.0 kg block slides 2.2m down a rough 30deg incline in 2.0s. find the change in mechanical energy due to friction. answer in J.

I know that change in mechanical energy is obtained by E=Ef-Eo or Wnc=(KEf+PEf)-(KEo-PEo) and I have used that but must be using the wrong #s.
The given values are easy to plug in but I am not sure on heights and velocities. the block travels down the incline 2.2 m which is only a height drop of 1.1m do I use 2.2 or 1.1m?, and I figure the velocity to be 2.2m/2.0s= 1.1 m/s ,but since the block starts at rest is my initial velocity is 0 and final 1.1 right and I have tried using 1.1 and 2.2 as starting heights and 0 as final height, but cannot get the right answer.
any help is appreciated
thanks
ken
 
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Thread moved to Homework Help.

Welcome to the PF, Ken. I'm not familiar with the term "mechanical energy". How is mechanical energy related to potential energy (PE) and kinetic energy (KE)? The wording of the proble is a bit confusing, but it sounds like the friction force on the block is not enough to keep it from starting to slide on its own when released, so there will be some acceleration down the incline due to gravity, and hindered by the friction force. You can write a FBD equation for that interaction of forces and derive the total acceleration, which will head you in the direction of getting your answers.
 
ken.adams said:
I know that change in mechanical energy is obtained by E=Ef-Eo or Wnc=(KEf+PEf)-(KEo-PEo) and I have used that but must be using the wrong #s.
That looks OK. Think of it this way: ME(initial) = ME(final) + Wnc.
Compare the initial mechanical energy to the final mechanical energy.
The given values are easy to plug in but I am not sure on heights and velocities. the block travels down the incline 2.2 m which is only a height drop of 1.1m do I use 2.2 or 1.1m?,
Which distance affects gravitational PE?

and I figure the velocity to be 2.2m/2.0s= 1.1 m/s
That would be the average velocity--you need the final velocity at the bottom of the incline. How does the average velocity relate to the initial and final velocity?
 
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