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**1. Two objects collide M1 = 1kg M2 = 3kg V1 = 2m/s V2 = -4 m/s V1' = ? V2' =?**

**2. PEi = PEf m1v1 + m2v2 = m1V1' + m2v2' KEi=KEf same as (1/2)(PE^2)/m**

**3. PEi = PEf ----> 2 - 12 = -10 ---> v2' = (-10 - v1')/3**

KEi = KEf ----> 4 + 48 = 52 ----> 156 3Vi^2' + V1^2' + 20v' +100

KEi = KEf ----> 4 + 48 = 52 ----> 156 3Vi^2' + V1^2' + 20v' +100

**4. V1' = - 7 V2' = -1**

KEi = 2J + 24J = 26J KEf = 24.5J + 1.5J = 26J

KEi = 2J + 24J = 26J KEf = 24.5J + 1.5J = 26J

**The real Question:**I tried to manipulate the problem with algebra but to no ends. So here is my question, how do you obtain V1 or V2 with (not V1' or V2') Can you obtain your numbers if lets say you have**1. Two objects collide M1 = 1kg M2 = ? V1 = ? V2 = -4 m/s V1' = -7 V2' =? What format would you use to solve this. I tride using the same equations but I can't seem to manipulate the algebra to do what I want. I keep getting either really small or really large numbers.[/**