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Rearranging change in kinetic energy for mass

  1. Jan 12, 2016 #1
    1. The problem statement, all variables and given/known data
    I need to rearrange the change in kinetic energy equation for mass

    2. Relevant equations
    Change in Kinetic energy = 0.5mv^2-0.5mu^2

    3. The attempt at a solution

    I factorised the right hand side to give:

    Change in kinetic energy = m(0.5v^2-0.5u^2)

    Then:

    m = Change in kinetic energy/(0.5v^2-0.5u^2)

    Is this correct, any help would be greatly appreciated.
     
  2. jcsd
  3. Jan 12, 2016 #2

    BvU

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    Yes. But it would be better if you posted a more complete description of the exercise you are working on ...
     
  4. Jan 12, 2016 #3

    HallsofIvy

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    Notice that you can factor out the "0.5" in both terms: [itex]0.5v^2- 0.5u^2= 0.5(v^2- u^2)[/itex] and, of course, that "0.5" in the denominator is the same as "2" in the numerator: [itex]m= \frac{2 E_k}{v^2- u^2}[/itex] where "Ek" is the kinetic energy. It's the same thing, just, perhaps, a little easier to read.
     
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