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Homework Help: Another question

  1. Jul 22, 2007 #1
    if change in potential energy = change in kinetic energy the forumla is

    PEi + KEi = PEf +KEf

    but change in kinetic energy by itself is: KEf- KEi

    and change in potential energy is: PEf-PEi

    so should change in potential energy = change in kinetic energy therefore be

    KEf-KEi = PEf-PEi ?

    I was looking at some questions and they were done differently...

    My thinking is that it should be the first one--right?
     
  2. jcsd
  3. Jul 22, 2007 #2

    cristo

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    This is a very random question, since you give no circumstances behind the question. However, its in intro physics so I'm gonna take a guess.

    Your first equation does not say that change in potential energy is equal to change in kinetic energy: rather it says that the sum of the potential and kinetic energy for a system at two different occasions is equal-- i.e. the total energy of a system is conserved. This is true for all closed systems.

    For example, consider a ball rolling down a slope from rest, ignoring resistance. At the top of the ramp, the ball has a value of potential energy, call it V_i and zero kinetic energy. Thus V_i is the total energy of this system. If we then let the ball roll down the slope, halfway down it will have some potential and some kinetic energy: call these V_1 and K_1, respectively. Now, from conservation of energy, we know that V_1+K_1=V_i. Finally, when the ball reaches the bottom of the slope, all its energy is kinetic, K_f. Again, due to conservation of energy we obtain K_f=V_i.

    So, we see that the first equation you cite is correct.
     
  4. Jul 22, 2007 #3
    I guess you are wrong there..
    that equations means that total mechanical energy is constant
    at certain given time Eti=PEi+KEi

    so at another time
    Etf=PEf+KEf

    but Etf=Eti (constant)..
     
  5. Jul 22, 2007 #4

    cristo

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    Hmm.. I suppose that's not what I wrote in my post is it? :rolleyes:
     
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