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Physics collisions

  1. Jun 4, 2013 #1
    1. The problem statement, all variables and given/known data
    A 50g object is moving east at 0.3 m/s. A 100g object is moving east as well at 0.25 m/s. These objects have an inelastic collision.

    a) Find their final velocity
    b) Find the kinetic energy lost


    2. Relevant equations
    P1 + P2 = P3 + P4 ; momentum is conserved
    Ek = 1/2 mv^2


    3. The attempt at a solution
    So the only thing conserved is momentum

    Please excuse me for not using units, it's too confusing to do that on a keyboard.

    a) (0.3 * 50/1000 + 0.25 * 100/1000) / (150/1000) = vf = 4 / 15 m/s

    b) Ek1 = 0.5 * (50/1000) * 0.3^2 + 0.5 * (100/1000) * 0.25^2 = 0.005375 J
    Ek2 = 0.5 * (50/1000) * (4/15)^2 + 0.5 * (100/1000) * (4/15)^2= 0.00533333333J

    Ek1 - Ek2 = 0.000042 J

    Is this correct? Someone said that its Ek2 - Ek1 but that doesn't make sense to me, because then delta(Ek) would be negative and this is impossible. Also, 10 marbles - 3 marbles. 7 were lost
     
  2. jcsd
  3. Jun 4, 2013 #2
    Strictly speaking, ##\Delta E## of the system is negative; there's nothing wrong with that. The negative sign corresponds to a loss of energy. ##\Delta E## is defined as ##E_{f} - E_{i}##

    If you want to phrase it in terms of energy lost, then simply take the absolute value when intepreting the answer. It's generally not good practice to nudge your answer into a positive value "by hand" as the sign carries physical meaning (and it also confuses you - subtract which from which?)
     
  4. Jun 4, 2013 #3
    Ah I see, but isnt Einitial - Efinal also correct?
     
  5. Jun 4, 2013 #4
    It gives you the answer you wanted in this case, but I emphasize that understanding general principle(s) and idea(s) is more important. That is, it is perfectly fine to use so-called "shortcuts" like this while solving problems, but it is essential to know what exactly you are doing when you use them.
     
  6. Jun 5, 2013 #5
    Okay, thank you for the advice. I think that I will try harder to understand the principals.
     
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