A 2.0 kg cart moving right at 3.0 m/s collides head-on with a 3.0 kg cart moving with a velocity of 1m/s [left].  It is unknown whether or not collision is elastic. After the collision 2.0 kg cart is moving at 1.0 ms/s [left] a) What is the final velocity of the 3.0kg cart? b) If the collision were elastic, what would need to be true? c) Mathematically determine whether or not this collision was elastic.

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