My wife and I went ice skating. I was traveling at 4.5m/s and she was traveling 2m/s both in the same direction. I have a mass of 95kg, and she has a mass of 70kg. I lose my balance and collide into her and we continue as one body. (a) What is the speed we are traveling after the collision? (b) Was there kinetic energy lost? If so, how much?

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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My wife and I went ice skating. I was traveling at 4.5m/s and she was traveling 2m/s both in the same direction. I have a mass of 95kg, and she has a mass of 70kg. I lose my balance and collide into her and
we continue as one body.

(a) What is the speed we are traveling after the collision?

(b) Was there kinetic energy lost? If so, how much?

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